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'''Ferdinando 'Teo' Mora'''{{efn|Teo Mora is his nickname, but used in most of his post-1980s publications; he has also used the [[pen name]] Theo Moriarty.<ref name=universityBio>https://fermat.dima.unige.it/didattica/matematica/new/index.php/component/anagrafica/docenti/27/MoraTeo.html</ref>}} is an Italian [[mathematician]], and since 1990,<ref name=universityBio/> a professor of [[Algebraic geometry#Computational algebraic geometry|algebra]] at the [[University of Genoa]].{{efn|Currently in the Dipartimento di Matematica,<ref name=universityBio/> formerly{{when}} in the Dipartimento di Informatica e Scienze dell'Informazione.[http://www.disi.unige.it/person/MoraF/]}}
'''Teo Mora''' is an Italian [[mathematician]], a professor of Dipartimento di Matematica at [[University of Genoa|University of Genova]]. He has contributions in [[computer algebra]]. He is an editor of ''Applicable Algebra in Engineering, Communication and Computing''.<ref>{{Cite web|url=http://www.dima.unige.it/~morafe/|title=Teo Mora Information Page|website=www.dima.unige.it|access-date=2017-04-02}}</ref> He is the author of the four-volume book ''Solving Polynomial Equation Systems''.<ref>{{Cite web|url=http://www.cambridge.org/ca/academic/subjects/mathematics/algebra/solving-polynomial-equation-systems-i-kronecker-duval-philosophy?format=HB&isbn=9780521811545|title=Solving Polynomial Equation Systems I|website=Cambridge University Press|access-date=2017-03-25}}</ref>

== Life and work ==
Mora's degree is in mathematics from the [[University of Genoa]] in 1974.<ref name=universityBio/> Mora's [[#Further_reading|publications]] span forty years; his best-cited{{efn|1=https://scholar.google.com/scholar?q=%28%22Teo+Mora%22+OR+%22Ferdinando+Mora%22%29&as_sdt=1%2C44}} works thus far:
* [[#mora82|1982 paper]] on [[tangent cone]]s
* [[#mora84|1984 paper]] on [[Gröbner bases]] and bounding the degree thereof
* [[#mora85|1985 paper]] on [[Gröbner bases]] and non-commutative [[polynomial ring]]s
* [[#moellerMora86|1986 paper]] on [[ideal theory]] methods
* [[#mora88|1988 paper]] on the [[Gröbner fan]]
* [[#gianniMora89|1989 paper]] on [[Gröbner bases]] and [[systems of polynomial equations]]
* [[#gioviniMora91|1991 paper]] on [[Buchberger algorithm]] selection-strategies
* [[#moellerMora92|1992 paper]] on [[Gröbner bases]] and [[syzygies]]
* [[#marinariMoellerMora93|1993 paper]] on [[Gröbner bases]] and [[projective geometry|projective]] points
* [[#fglm93|1993 paper]] on computing [[Gröbner bases]] using the [[FGLM algorithm]] (named for Mora and his co-authors)
* [[#beckerMora94|1994 paper]] on the [[System of polynomial equations#Algebraic representation of the solutions|shape lemma]]
* [[#mora94|1994 paper]] on [[commutative]] and non-commutative [[Gröbner bases]]
* [[#maranariMoellerMora96|1996 paper]] on [[multiplicities]] in [[polynomial system]]s
* [[#salaMora09|2009 book]] (co-editor and author of four chapters) on several aspects of [[Gröbner bases]]
* ''Solving Polynomial Equation Systems'': [[#mora03|2003 book-volume]] on [[Kronecker]] and [[Duval]]
* ''Solving Polynomial Equation Systems'': [[#mora05|2005 book-volume]] on [[Francis Sowerby Macaulay|Macaulay]] and [[Gröbner bases]]
* ''Solving Polynomial Equation Systems'': [[#mora16|2016 book-volume]] on the [[Buchberger algorithm]]

Mora is on the [[scientific peer review|managing-editorial-board]] of the journal ''[[Applicable Algebra in Engineering, Communication and Computing|AAECC]]'' published by [[Springer]],<ref>http://www.springer.com/computer/theoretical+computer+science/journal/200/PS2?detailsPage=editorialBoard</ref> and was also formerly an editor of the ''Bulletin of the [[Iranian Mathematical Society]]''.{{efn|http://www.disi.unige.it/person/MoraF/}} Mora co-chaired a 2008 conference at the [[University of Catania]] on [[differential algebra]].<ref>http://www.sci.ccny.cuny.edu/~ksda/darca.pdf</ref>

== See also ==
* [[FGLM algorithm]], [[Buchberger's algorithm]]
* [[Gröbner fan]], [[Gröbner basis]]
* [[Algebraic geometry#Computational algebraic geometry]], [[System of polynomial equations]]
* [[Cinema of Italy]], per Mora's [[#mora77|1977 book]]: ''{{illm|Storia del cinema dell'orrore|it|Storia del cinema dell'orrore (saggio)}}''


== References ==
== References ==
{{Reflist}}
{{reflist}}

== Notes ==
{{notelist}}

== Further reading ==
* {{anchor|mora77}}<!-- 10 cites in scholar.google.com as of 2017-->{{cite book
|title= Storia del cinema dell'orrore
|author= Teo Mora
|date= 1977 <!-- and 1978 -->
|isbn= 88-347-0800-8
|volume= 1
|publisher= [[Fanucci]]
}}. Second and third volumes: {{ISBN|88-347-0850-4}}, {{ISBN|88-347-0897-0}}. Reprinted 2001.
* <!-- 3 cites in scholar.google.com as of 2017-->{{cite journal
|title= Computation of Finite Categories
|author= F. Mora
|date= 1979
|publisher= University of Genova: unpublished note (Neubüser)
}}. Cited in e.g. [http://link.springer.com/chapter/10.1007/978-3-7091-7551-4_15 this paper].
* {{anchor|mora82}}<!-- 119 cites in scholar.google.com as of 2017-->{{cite journal
|title= An algorithm to compute the equations of tangent cones
|author= F. Mora
|work= Proc.EUROCAM'82: [[Lecture Notes in Computer Science]] (Computer algebra)
|volume= 144
|pages= 158-165
|date= 1982
|publisher= [[Springer]]
|url= http://www.springerlink.com/index/F4R7R80301521161.pdf
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= Classification of monomial curves
|author= F. Mora
|date= 1983
|pages= 13-28
|volume= 101
|publisher= Rendiconti [[:it:Accademia_Nazionale_delle_Scienze_detta_dei_XL|Accademia Nazionale dei XL]]
|issn= 0370-3460 <!-- correct? -->
}}
* <!-- 12 cites in scholar.google.com as of 2017-->{{cite journal
|title= A constructive characterization of standard bases
|author= F. Mora
|date= 1983
|pages= 41-50
|publisher= Boll. UMI sez. D
|volume= 2
|url= http://www.ricam.oeaw.ac.at/Groebner-Bases-Bibliography/details.php?details_id=1054
}}
* <!-- 58 cites in scholar.google.com as of 2017-->{{cite journal
|title= The computation of the Hilbert function
|author= F. Mora, H.M. Moeller
|date= 1983
|work= Proc.EUROCAL'83: [[Lecture Notes in Computer Science]] (Computer Algebra)
|volume= 162
|pages= 157-167
|publisher= [[Springer]]
|url= https://www.researchgate.net/profile/H_Moeller/publication/221521131_The_computation_of_the_Hilbert_function/links/569501a008ae425c68980fa0.pdf
|via= [http://www.springerlink.com/index/P050G874747NR583.pdf Publisher's site]
}}
* {{anchor|mora84}}<!-- 129 cites in scholar.google.com as of 2017-->{{cite journal
|title= Upper and lower bounds for the degree of Gröbner bases
|author= F. Mora, H.M. Möller
|date= 1984
|work= Proc.EUROSAM'84: [[Lecture Notes in Computer Science]]
|volume= 174
|pages= 172-183
|publisher= [[Springer]]
|url= http://link.springer.com/content/pdf/10.1007/BFb0032840.pdf
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= Polynomials of minimal degree and fixed period
|author= M.T. De Benedetti, F. Mora, G. Ucovich
|date= 1984
|work= Proc.MIMI'84
|pages= 170-172
}}
* <!-- 9 cites in scholar.google.com as of 2017-->{{cite journal
|title= An algorithmic approach to local rings
|author= F. Mora
|date= 1985
|work= Proc.EUROCAL'85: [[Lecture Notes in Computer Science]]
|volume= 204
|pages= 518-525
|publisher= [[Springer]]
|url= http://www.springerlink.com/index/p403q531977l55g2.pdf
}}
* {{anchor|mora85}}<!-- 211 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases for non-commutative polynomial rings
|author= F. Mora
|date= 1985 or 1986
|work= Proc.AAECC3: [[Lecture Notes in Computer Science]]
|volume= 229
|pages= 353-362
|publisher= [[Springer]]
|url= http://link.springer.com/content/pdf/10.1007/3-540-16776-5_740.pdf
}}
* <!-- 15 cites in scholar.google.com as of 2017-->{{cite journal
|title= Computational aspects of reduction strategies to construct resolutions of monomial ideals
|author= H.M. Möller, F. Mora
|date= 1986
|work= Proc.AAECC2: [[Lecture Notes in Computer Science]]
|volume= 228
|pages= 182-197
|publisher= [[Springer]]
|url= http://www.springerlink.com/index/FW26H77227L84U1G.pdf
}}
* {{anchor|moellerMora86}}<!-- 204 cites in scholar.google.com as of 2017-->{{cite journal
|title= New constructive methods in classical ideal theory
|author= H.M. Möller, F. Mora
|date= 1986
|work= [[Journal of Algebra]]
|volume= 100
|pages= 138-178
|publisher= [[Elsevier]]
|url= http://www.sciencedirect.com/science/article/pii/0021869386900712
}}
* <!-- 2 cites in scholar.google.com as of 2017-->{{cite journal
|title= Symbolic and algebraic computation research in Italy
|author= P Gianni, A Miola, T Mora
|date= 1987
|work= SIGSAM Bulletin
|publisher= [[Association of Computing Machinery]]
|url= http://dl.acm.org/citation.cfm?id=24556
}}
* <!-- 79 cites in scholar.google.com as of 2017-->{{cite journal
|title= Seven variations on standard bases
|author= Teo Mora
|date= 1988
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/7Variations.pdf.gz
|via= [http://www.ricam.oeaw.ac.at/Groebner-Bases-Bibliography/details.php?details_id=1082 Bibliography]
}}
* {{anchor|mora88}}<!--245 cites in scholar.google.com as of 2017-->{{cite journal
|title= The Gröbner fan of an ideal
|author1= Teo Mora
|author2= [[Lorenzo Robbiano]]
|work= [[Journal of Symbolic Computation]]
|date= 1988
|publisher= [[Elsevier]]
|volume= 6
|pages= 183-208
|url= http://www.sciencedirect.com/science/article/pii/S0747717188800427
}}
** also in: {{cite book
|title=Computational Aspects of Commutative Algebra
|editor= Lorenzo Robbiano
|date= 1989
|publisher=[[Academic Press]]
|volume= 6
|number= 2-3
|location= [[London]]
}}
* <!-- 4 cites in scholar.google.com as of 2017-->{{cite journal
|title= Constructive lifting in graded structures: a unified view of Buchberger and Hensel methods
|author= A. Miola, T. Mora
|work= [[Journal of Symbolic Computation]]
|volume= 6
|pages= 305-322
|date= 1988
|publisher= [[Elsevier]]
|url= http://www.sciencedirect.com/science/article/pii/S0747717188800506
}}
* <!-- 7 cites in scholar.google.com as of 2017-->{{cite journal
|title= Standard bases and non-noetherianity: non-commutative polynomial rings
|author= T. Mora
|date= 1988
|work= Proc.AAECC4: [[Lecture Notes in Computer Science]]
|volume= 307
|pages= 98-109
|publisher= [[Springer]]
|url= http://link.springer.com/content/pdf/10.1007/BFb0039183.pdf
}}
* <!-- 9 cites in scholar.google.com as of 2017-->{{cite journal
|title= Computing with Algebraic Series
|author= M.E. Alonso, T. Mora, M. Raimondo
|date= 1989
|work= Proc.ISSAC'89
|publisher= [[Association of Computing Machinery]]
|pages= 101-111
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Portland.ps.gz
|via= [http://dl.acm.org/citation.cfm?id=74554 Publisher's site]
}}
* <!-- 66 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases in non-commutative algebras
|author= T. Mora
|date= 1989
|work= Proc.ISSAC'88: [[Lecture Notes in Computer Science]] <!-- International Symposium on Symbolic and Algebraic [Computation] -->
|volume= 358
|pages= 150-161
|publisher= [[Springer]]
|url= https://pdfs.semanticscholar.org/a25c/fb7042f534ebf264c5e6a9f225d454899cf4.pdf
|via= [http://link.springer.com/content/pdf/10.1007/3-540-51084-2_14.pdf Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/Roma.ps.gz Author's site].
}}
* {{anchor|gianniMora89}}<!-- 128 cites in scholar.google.com as of 2017-->{{cite journal
|title= Algebraic solution of systems of polynomial equations using Groebner bases
|author= P. Gianni, T. Mora
|date= 1989
|work= AAECC5: [[Lecture Notes in Computer Science]]
|volume= 356
|pages= 247-257
|publisher= [[Springer]]
|url= https://www.researchgate.net/profile/Patrizia_Gianni/publication/221420468_Algebraic_Solution_of_Systems_of_Polynomial_Equations_Using_Groebner_Bases/links/0c960523988d67a2a8000000.pdf
|via= [http://www.springerlink.com/index/p6714g8321h38113.pdf Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/Minorca.ps.gz Author's site].
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite book
|title= Proc.AAECC6: [[Lecture Notes in Computer Science]]
|editor= T. Mora
|date= July 10, 1989
|publisher= [[Springer]]
|volume= 356
|isbn= 9783540510833
|location= [[Berlin]] and [[Heidelberg]]
}}
* <!-- 11to14 cites in scholar.google.com as of 2017-->{{cite journal
|title= Effective Methods in Algebraic Geometry
|editor= C. Traverso, T. Mora
|date= 1991 <!-- publication date... conference was held in April 1990 -->
|work= Proc.MEGA'90: Progress in Mathematics <!-- held in Castiglioncello -->
|publisher= Birkhauser
|url= https://books.google.com/books?id=4PHxBwAAQBAJ&pg=PR11
|via= [ftp://ftp.risc.uni-linz.ac.at/pub/techreports/Admin/Stairs/mathlib-owner Austria]
}}
* <!-- 27 cites in scholar.google.com as of 2017-->{{cite journal
|title= Local decomposition algorithms
|author= M.E. Alonso, T. Mora, M. Raimondo
|work= Proc.AAECC8: [[Lecture Notes in Computer Science]]
|volume= 508
|pages= 208-221
|date= 1990 or 1991
|publisher= [[Springer]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Tokyo.ps.gz
|via= [http://link.springer.com/content/pdf/10.1007/3-540-54195-0_52.pdf Publisher's site]
}}
* <!-- 15 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases and the word problem
|author= T. Mora
|date= 1987 or 1991
|publisher= [[University of Genoa]] (preprint)
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Groebner_Word.ps.gz
}}
* <!-- 39 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases of ideals given by dual bases
|author= M.G. Marinari, H.M. Möller, T. Mora
|date= 1991
|work= Proc.ISSAC'91
|pages= 55-63
|publisher= [[Association of Computing Machinery]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Bonn.pdf
|via= [http://dl.acm.org/citation.cfm?id=120702 Publisher's site]
}}
* {{anchor|gioviniMora91}}<!-- 228 cites in scholar.google.com as of 2017-->{{cite journal
|title= 'One sugar cube, please'; or: Selection strategies in Buchberger algorithm
|author= Alessandro Giovini, T. Mora, Gianfranco Niesi, Lorenzo Robbiano, Carlo Traverso
|date= 1991
|work= Proc.ISSAC'91
|pages= 49-54
|publisher= [[Association of Computing Machinery]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Sugar.ps.gz
|via= [http://dl.acm.org/citation.cfm?id=120701 Publisher's site]
}}
* <!-- 2 cites in scholar.google.com as of 2017-->{{cite journal
|title= On the complexity of algebraic power series
|author= M.E. Alonso, T. Mora, M. Raimondo
|date= 1991
|work= Proc.AAECC8: [[Lecture Notes in Computer Science]]
|volume= 508
|pages= 197-207
|publisher= [[Springer]]
|url= http://www.dima.unige.it/~morafe/Comp.Serie.ps.gz
|via= [http://link.springer.com/content/pdf/10.1007/3-540-54195-0_51.pdf Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.26.9258&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- 20 cites in scholar.google.com as of 2017-->{{cite journal
|title= La queste del Saint Gra (AL): a computational approach to local algebra
|author= T. Mora
|date= 1991
|work= Proc.AAECC7: [[Discrete Applied Mathematics (journal)|Discrete Applied Mathematics]]
|volume= 33
|pages= 161-190
|publisher= [[Elsevier]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Graal.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/0166218X9190114C Publisher's site]
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= Proc. AAECC 7: Applied algebra, Algebraic algorithms, and Error-Correcting Codes
|editor= H. F. Mattson, T. Mora
|date= 1991
|work= [[Discrete Applied Mathematics (journal)|Discrete Applied Mathematics]]
|volume= 33
|publisher= [[Elsevier]]
}}
* <!-- 4 cites in scholar.google.com as of 2017-->{{cite book
|title= Proc. AAECC 9
|editor= H. F. Mattson, T. Mora, T.R.N. Rao
|date= 1991
|work= [[Lecture Notes in Computer Science]]
|volume= 539
|publisher= [[Springer]]
|url= https://books.google.com/books?id=1yu5iVXYAEAC
}}
* {{anchor|moellerMora92}}<!-- 78 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner Bases Computation Using Syzygies
|author= H. M. Möller, T. Mora, C. Traverso
|date= 1992
|work= Proc.ISSAC'92
|publisher= [[Association of Computing Machinery]]
|url= https://www.researchgate.net/profile/H_Moeller/publication/221563982_Grobner_Bases_Computation_Using_Syzygies/links/54b943060cf253b50e2922ef.pdf
|via= [http://dl.acm.org/citation.cfm?id=143343 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/mmt.ps.gz Author's site].
}}
* <!-- 11 cites in scholar.google.com as of 2017-->{{cite journal
|title= An Algorithm for Computing Analytic Branches of Space Curves at Singular Points
|author= M.E.Alonso, G.Niesi, T.Mora, M.Raimondo
|date= 1992
|work= Proc. 1992 Intl. Workshop on Math. Mechanization
|pages= 135-166
|publisher= [[International Academic Publishers]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Bejing.ps.gz
|via= [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.26.8531&rep=rep1&type=pdf CiteSeerX]
}}
* <!-- 15 cites in scholar.google.com as of 2017-->{{cite journal
|title= Local Parameterization of Space Curves at Singular Points
|author= M. E. Alonso, T. Mora, G. Niesi, M. Raimondo
|date= 1992
|work= [[Computer Graphics and Mathematics]]
|editor= B. Falcidieno, I. Herman, C. Pienovi
|series= Eurographic Seminar Series
|pages= 61-90
|publisher= [[Springer]]
|url= https://pdfs.semanticscholar.org/54d7/822b3f235514ce0d3e6faa1eafa6a84f245b.pdf
|via= [http://link.springer.com/chapter/10.1007/978-3-642-77586-4_5 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/AMNR.ps.gz Author's site]
}}
* <!-- 25 cites in scholar.google.com as of 2017-->{{cite journal
|title= A computational model for algebraic power series
|author= M. E. Alonso, T. Mora, M. Raimondo
|date= 1992
|work= Journal of Pure and Applied Algebra
|volume= 77
|pages= 1-38
|publisher= [[Elsevier]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/JPAA.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/002240499290029F Publisher's site]
}}
* <!-- 51 cites in scholar.google.com as of 2017-->{{cite journal
|title= An introduction to the tangent cone algorithm
|author= Gerhard Pfister, T.Mora, Carlo Traverso
|date= 1992
|editor= Christoph M Hoffmann
|work= Issues in Robotics and Nonlinear Geometry (Advances in Computing Research)
|volume= 6
|pages= 199-270
|publisher= [[JAI Press]]
|location= [[Greenwich, Connecticut]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/TgCone.ps.gz
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= The virtues of laziness: the complexity of the tangent cone algorithm
|author= Abdallah Assi, T. Mora
|date= 1993
|work= J.AAECC
|volume= 4
|number= 4
|pages= 231-238
|publisher= [[Springer]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/CompTGC.ps.gz
|via= [http://link.springer.com/article/10.1007/BF01200147 Publisher's site]
}}
* <!-- 12 cites in scholar.google.com as of 2017-->{{cite journal
|title= Points in affine and projective spaces
|author= T. Mora, L. Robbiano
|editor= D. Eisenbud, L. Robbiano
|date= 1993
|work= Computational Algebraic Geometry and Commutative Algebra
|pages= 106-150
|publisher= [[Cambridge University Press]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Cortona.ps.gz
|via= [https://www.researchgate.net/profile/Lorenzo_Robbiano/publication/265188690_POINTS_IN_AFFINE_AND_PROJECTIVE_SPACES/links/549168050cf222ada858a3c9.pdf ResearchGate]
}}
* {{anchor|marinariMoellerMora93}}<!-- 170 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases of ideals defined by functionals with an application to ideals of projective points
|author= M. G. Marinari, H. M. Möller, T. Mora
|date= 1993
|work= J.AAECC4
|pages= 103-145
|publisher= [[Springer]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/M%5E3.ps.gz
|via= [http://link.springer.com/article/10.1007/BF01386834 Publisher's site]
}}
* {{anchor|fglm93}}<!-- 679 cites in scholar.google.com as of 2017-->{{cite journal
|title= Efficient computation of zero-dimensional Gröbner bases by change of ordering
|author= J. C. Faugere, P. Gianni, D. Lazard, T. Mora
|date= 1993
|publisher= [[Elsevier]]
|work= [[Journal of Symbolic Computation]]
|volume= 16
|pages= 329-344
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/FGLM.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/S0747717183710515 Publisher's site]. [http://www.sciencedirect.com/science/article/pii/S0747717183710515/pdf?md5=96c9dfd7de57f6d6dc799a0c4552192d&pid=1-s2.0-S0747717183710515-main.pdf&_valck=1 Publisher's PDF].
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= Proc.AAECC10: Applied algebra, Algebraic algorithms and Error-Correcting Codes <!-- held in Puerto Rico -->
|editor= Gérard Cohen, Teo Mora, Oscar Moreno
|date= <!--May-->1993
|work= [[Lecture Notes in Computer Science]]
|volume= 673
|publisher= [[Springer Verlag]]
|url= http://cat.inist.fr/?aModele=afficheN&cpsidt=33546
|via= [https://scholar.google.com/citations?view_op=view_citation&hl=en&user=CcOwSf8AAAAJ&cstart=200&pagesize=100&citation_for_view=CcOwSf8AAAAJ:5Ul4iDaHHb8C GoogleScholar]
}}
* <!-- 23 cites in scholar.google.com as of 2017-->{{cite journal
|title= Implicitization of hypersurfaces and curves by the Primbasissatz and basis conversion
|author= S. Licciardi, T. Mora
|date= 1994
|work= Proc.ISSAC'94
|publisher= [[Association of Computing Machinery]]
|pages= 191-196
|url= https://pdfs.semanticscholar.org/275f/51c96154def6d95b79a660e89cfaee182789.pdf
|via= [http://dl.acm.org/citation.cfm?id=190416 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/oxford.ps.gz Author's site].
}}
* {{anchor|beckerMora94}}<!-- 82 cites in scholar.google.com as of 2017-->{{cite journal
|title= The shape of the Shape Lemma
|author= E. Becker, T. Mora, M.G. Marinari, C. Traverso
|date= 1994
|work= Proc.ISSAC'94
|publisher= [[Association of Computing Machinery]]
|pages= 129-133
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/shape.ps.gz
|via= [http://dl.acm.org/citation.cfm?id=190382 Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.27.618&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- 40 cites in scholar.google.com as of 2017-->{{cite journal
|title= Why you cannot even hope to use Gröbner bases in public key cryptography: an open letter to a scientist who failed and a challenge to those who have not yet failed
|author= Boo Barkee, D. C. Can, J. Ecks, T. Moriarty, R.F. Ree
|date= 1994
|publisher= [[Elsevier]]
|work= [[Journal of Symbolic Computation]]
|volume= 18
|number= 6
|pages= 497-501
|url= https://pdfs.semanticscholar.org/dcb6/96529deb7c009568cc5520116c18c6bf1294.pdf
|via= [http://www.sciencedirect.com/science/article/pii/S0747717184710613 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/Crypto_Groebner.ps.gz Author's site].
}}
* {{anchor|mora94}}<!-- 268 cites in scholar.google.com as of 2017-->{{cite journal
|title= An introduction to commutative and non-commutative Gröbner bases
|author= T. Mora
|date= 1994
|work= [[Theoretical Computer Science (journal)]]
|volume= 134
|pages= 131-173
|publisher= [[Elsevier]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Kyoto.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/0304397594902836 Publisher's site]
}}
* <!-- ~14 cites in citeseerx.ist.psu.edu as of 2017-->{{cite journal
|title= Polynomial System Solving, a Survey: EIDMA minicourse
|author= T. Mora
|date= 1994
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Solving.ps.gz
|via= http://citeseerx.ist.psu.edu/viewdoc/download?rep=rep1&type=pdf&doi=10.1.1.27.4308
}}
* <!-- 22 cites in scholar.google.com as of 2017-->{{cite journal
|title= Hilbert functions and Buchberger algorithm
|author= Patrizia M Gianni, Ferdinando (Teo) Mora, Lorenzo Robbiano, Carlo Traverso
|date= 1994
|publisher= preprint
|url= http://ricam.oeaw.ac.at/Groebner-Bases-Bibliography/details.php?details_id=1020
}}
* <!-- 6 cites in scholar.google.com as of 2017-->{{cite journal
|title= An algorithm for the Hilbert function of a primary ideal
|author= T. Mora, M. Evelina Rossi
|date= 1995
|work= [[Communications in Algebra]]
|volume= 23
|pages= 1899-1911
|publisher= [[Taylor & Francis]]
|url= https://pdfs.semanticscholar.org/efc5/f80124c1cd89e022dc6124cab750c5edb106.pdf
|via= [http://www.tandfonline.com/doi/pdf/10.1080/00927879508825316 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/Hilbert_Graal.ps.gz Author's site].
}}
* <!-- 34 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner Duality and Multiplicities in Polynomial System Solving
|author= M.G. Marinari, T. Mora, H.M. Möller
|date= 1995
|work= Proc.ISSAC'95
|publisher= [[Association of Computing Machinery]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Mult_ISSAC.ps.gz
|via= [http://dl.acm.org/citation.cfm?id=220368 Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.27.5655&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- 4 cites in scholar.google.com as of 2017-->{{cite book
|title= Proc. AAECC 11
|editor= G. Cohen, M. Giusti, T. Mora
|date= 1995
|work= [[Lecture Notes in Computer Science]]
|volume= 948
|publisher= [[Springer]]
|url= https://books.google.com/books?id=ZPB51NDgRj0C
}}
* {{anchor|maranariMoellerMora96}}<!-- 79 cites in scholar.google.com as of 2017-->{{cite journal
|title= On multiplicities in Polynomial System Solving
|author= M.G. Marinari, H.M. Möller, T. Mora
|date= 1996
|volume= 348
|number= 8
|pages= 3283-3321
|work= Transactions of the American Mathematical Society
|publisher= [[American Mathematical Society]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/tams.ps.gz
|via= [http://www.ams.org/tran/1996-348-08/S0002-9947-96-01671-6/ Publisher's site]. [http://www.ams.org/tran/1996-348-08/S0002-9947-96-01671-6/S0002-9947-96-01671-6.pdf Publisher's PDF].
}}
* <!-- 6 cites in scholar.google.com as of 2017-->{{cite journal
|title= Groebner Duality and multiple points in linearly general position
|author= T. Mora
|date= 1997
|work= Proceedings of the American Mathematical Society
|publisher= [[American Mathematical Society]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/pams.ps.gz
|via= [http://www.ams.org/proc/1997-125-05/S0002-9939-97-03713-1/ Publisher's site]. [http://www.ams.org/proc/1997-125-05/S0002-9939-97-03713-1/S0002-9939-97-03713-1.pdf Publisher's PDF].
}}
* <!-- 0 cites in scholar.google.com as of 2017-->{{cite journal
|title= A Note on the Castelnuovo Theory
|author= T. Mora
|date= 1997
|work= [[Communications in Algebra]]
|volume= 25
|pages= 2342-2354
|publisher= [[Taylor & Francis]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Scroll.ps.gz
|via= [http://www.tandfonline.com/doi/pdf/10.1080/00927879708825994 Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.6.6477&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- 16 cites in scholar.google.com as of 2017-->{{cite journal
|title= The Non-Commutative Gröbner Freaks
|author= E. Green, T. Mora, V. Ufnarovski
|date= 1997 or 1998
|work= Proc. Conf. on Symbolic Rewriting Techniques
|publisher= [[Birkhauser]]/[[Springer]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Freaks.ps.gz
|via= [http://link.springer.com/chapter/10.1007/978-3-0348-8800-4_5 Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.27.1991&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- 2 cites in scholar.google.com as of 2017-->{{cite journal
|title= Proc. AAECC 12
|editor= H. F. Mattson, T. Mora
|date= 1997
|work= [[Lecture Notes in Computer Science]]
|volume= 1255
|publisher= [[Springer]]
|url= https://books.google.com/books?id=Lke4daIYok8C
}}
* <!-- 20 cites in scholar.google.com as of 2017-->{{cite journal
|title= A Note on Nielsen Reduction and Coset Enumeration
|author= Birgit Reinert, Klaus Madlener, T. Mora
|date= 1998
|pages= 171-178
|work= Proc.ISSAC'98
|publisher= [[Association of Computing Machinery]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/RMM.ps.gz
|via= [http://dl.acm.org/citation.cfm?id=281607 Publisher's site]. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.72.6935&rep=rep1&type=pdf CiteSeerX].
}}
* <!-- ~0 cites in scholar.google.com as of 2017-->{{cite journal
|title= De Nugis Groebnerialium 1: Eagon, Northcott, Groebner
|author= T. Mora
|work= Groebner Bases and Applications
|series= London Math. Soc. Lecture Notes Series
|volume= 251
|pages= 434-447
|date= 1998
|publisher= [[Cambridge University Press]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/NG1.ps.gz
|via= [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.27.7201&rep=rep1&type=pdf CiteSeerX]
}}
* <!-- 31 cites in scholar.google.com as of 2017-->{{cite journal
|title= Computing Gröbner Bases by FGLM Techniques in a Non-commutative Setting
|author= M. Borges-Trenard, M. Borges-Quintana, T. Mora
|date= 2000
|work= [[Journal of Symbolic Computation]]
|volume= 30
|pages= 429-449
|publisher= [[Elsevier]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/Borges.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/S0747717199904157 Publisher's site].
}}
* <!-- 19 cites in scholar.google.com as of 2017-->{{cite journal
|title= The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gianni-Kalkbrenner Gröbner Shape Theorem
|author= M.Caboara,T.Mora
|date= 2002
|work= AAECC: J.Appl.Alg
|volume= 13
|pages= 209-232
|publisher= [[Springer]]
|url= https://www.researchgate.net/profile/Massimo_Caboara/publication/2842166_The_Chen-Reed-Helleseth-Truong_Decoding_Algorithm_and_the_Gianni-Kalkbrenner_Grbner_Shape_Theorem/links/0fcfd50a665923b3ea000000.pdf
|via= [http://link.springer.com/article/10.1007/s002000200097 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/codici.ps.gz Author's site].
}}
* <!-- 3 cites in scholar.google.com as of 2017-->{{cite journal
|title= ISSAC'02: Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation <!-- held in Lille, France -->
|editor= T. Mora
|date= <!--July-->2002
|publisher= [[Association of Computing Machinery]] Press
|location= [[New York]]
|volume= 193
}}
* {{anchor|mora03}}<!-- 126 cites in scholar.google.com as of 2017 for the series -->{{cite book
|title= Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy
|author= Teo Mora
|isbn= 9780521811545
|date= March 1, 2003
|publisher= [[Cambridge University Press]]
|series= Encyclopedia of Mathematics and its Applications Series
|volume= 88
|url= https://pdfs.semanticscholar.org/2a1b/a06e6d22c18caf539b7862d6e9c9d7b076ab.pdf
|via= [http://www.cambridge.org/ca/academic/subjects/mathematics/algebra/solving-polynomial-equation-systems-i-kronecker-duval-philosophy?format=HB&isbn=9780521811545 Publisher's website]. [http://www.langtoninfo.com/web_content/9780521811545_excerpt.pdf Excerpt]. [ftp://130.251.61.4/person/MoraF/ALTRO/1SPES.ps Draft].
}}
* <!-- 1 cites in scholar.google.com as of 2017-->{{cite journal
|title= Oracle-supported drawing of the Groebner escalier
|author= M.E. Alonso, M.G. Marinari, T. Mora
|date= 2010
|publisher= preprint
|url= https://arxiv.org/abs/1006.3297
}}
* <!-- 19 cites in scholar.google.com as of 2017-->{{cite journal
|title= A Remark on a remark by Macaualay, or, Enhancing Lazard Structural Theorem
|author= M.G. Marinari, T. Mora
|date= 2003 and 2011
|publisher= Bulletin of the [[Iranian Mathematical Society]]
|volume= 29
|number= 1
|pages= 1-45
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/mora.pdf
|via= [http://bims.iranjournals.ir/article_125_53f274cb7be99bf28d6b74995295a863.pdf Publisher's site]
}}
* <!-- 9 cites in scholar.google.com as of 2017-->{{cite journal
|title= De Nugis Groebnerialium 2: Applying Macaulay's Trick in order to easily write a Gröbner basis
|author= T. Mora
|date= 2003
|work= J. AAECC 13
|pages= 437-446
|publisher= [[Springer]]
|url= http://www.springerlink.com/index/36NXAKK618FC6WAR.pdf
|via= [http://link.springer.com/article/10.1007/s00200-002-0112-2 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/NG2y.ps.gz Author's site].
}}
* <!-- 25 cites in scholar.google.com as of 2017-->{{cite journal
|title= On the Gröbner bases of some symmetric systems and their application to Coding Theory
|author= T. Mora, Massimiliano Sala
|date= 2003
|work= [[Journal of Symbolic Computation]]
|volume= 35
|pages= 177-194
|publisher= [[Elsevier]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/sym.ps.gz
|via= [http://www.sciencedirect.com/science/article/pii/S0747717102001311 Publisher's site]
}}
* <!-- 24 cites in scholar.google.com as of 2017-->{{cite journal
|title= The Big Mother of All the Dualities, I: Möller Algorithm
|author= M.E. Alonso, M.G. Marinari, M.T. Mora
|work= [[Communications in Algebra]]
|date= 2003
|volume= 31
|pages= 783-818
|publisher= [[Taylor & Francis]]
|url= https://www.researchgate.net/profile/Mariemi_Alonso/publication/2656876_The_Big_Mother_of_All_the_Dualities_Mller_Algorithm/links/55a757bb08aeb4e8e646e270.pdf
|via= [https://tandfonline.com/doi/abs/10.1081/AGB-120017343 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/3Marie.ps.gz Author's site].
}}
* {{anchor|mora2005}}<!-- 126 cites in scholar.google.com as of 2017 for the series -->{{cite book
|title= Solving Polynomial Equation Systems II: Macaulay's Paradigm and Groebner Technology
|author= T. Mora
|date= 2005
|publisher= [[Cambridge University Press]]
|series= Encyclopedia of Mathematics and its Applications
|volume= 99
}}
* <!-- 26 cites in scholar.google.com as of 2017-->{{cite journal
|title= General error locator polynomials for binary cyclic codes with t <= 2 and n < 63
|author= T. Mora, E. Orsini, Massimiliano Sala
|date= 2006
|publisher= Boole Centre (BCRI), [[University College Cork]]
|location= Ireland
|volume= 43
|url= http://www.bcri.ucc.ie/FILES/PUBS/BCRI_44.pdf
|via= [http://www.bcri.ucc.ie/index.php?option=com_content&view=article&id=18&Itemid=6 Publisher's site]. [http://www.dima.unige.it/~morafe/PUBLICATIONS/BCRI_44.pdf Author's site].
}}
* <!-- 8 cites in scholar.google.com as of 2017-->{{cite journal
|title= The Big Mother of All the Dualities, II: Macaulay Bases
|author= Maria Emilia Alonso, Maria Grazia Marinari, T. Mora
|date= 2006
|work= J. AAECC
|volume= 17
|pages= 409-451
|publisher= [[Springer]]
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/mo4.pdf
|via= [http://www.springerlink.com/index/66481GJ571721120.pdf Publisher's site]
}}
* <!-- 11 cites in scholar.google.com as of 2017-->{{cite journal
|title= Cerlienco-Mureddu Correspondence and Lazard Structural Theorem
|author= M. G. Marinari, T. Mora
|date= 2006
|work= Investigaciones Mathematicas/Operacional
|volume= 27
|pages= 155-178
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/cubastampa.pdf
}}

* {{anchor|salaMora09}}<!-- see also 3 more chapters below --><!-- 14 cites in scholar.google.com as of 2017-->{{cite journal
|title= Gröbner bases over commutative rings and applications to coding theory
|author= Eimear Byrne, T. Mora
|pages= 239-262
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/BMG13.pdf
|work= Gröbner Bases, Coding, and Cryptography
|editor= Massimiliano Sala, Teo Mora, Ludovic Perret, Shojiro Sakata, Carlo Traverso
|date= 2009
|publisher= [[Springer]]
|isbn= 9783540938057
|doi= 10.1007/978-3-540-93806-4
|via= [https://www.researchgate.net/profile/Eimear_Byrne/publication/226194750_Grobner_Bases_over_Commutative_Rings_and_Applications_to_Coding_Theory/links/00b7d51a38bb6b2efe000000.pdf ResearchGate]. [https://books.google.com/books?isbn=3540938060 GoogleBooks]. [http://link.springer.com/chapter/10.1007/978-3-540-93806-4_14 Publisher's site].
}}
* <!-- 13 cites in scholar.google.com as of 2017-->{{cite book
|title= Decoding cyclic codes: the Cooper Philosophy
|author= T. Mora, Emmanuela Orsini
|pages= 62-92
|url= http://fermat.dima.unige.it/~morafe/PUBLICATIONS/CooperNew.pdf
|work= Gröbner Bases, Coding, and Cryptography
|editor= Massimiliano Sala, Teo Mora, Ludovic Perret, Shojiro Sakata, Carlo Traverso
|date= 2009
|publisher= [[Springer]]
|isbn= 9783540938057
|doi= 10.1007/978-3-540-93806-4
|via= [https://books.google.com/books?isbn=3540938060 GoogleBooks]. [http://link.springer.com/content/pdf/10.1007/978-3-540-93806-4_5.pdf Publisher's site].
}}
* <!-- 12 cites in scholar.google.com as of 2017-->{{cite journal
|title= Groebner Technology
|author= T. Mora
|pages= 11-26
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/GrobTech.pdf
|work= Gröbner Bases, Coding, and Cryptography
|editor= Massimiliano Sala, Teo Mora, Ludovic Perret, Shojiro Sakata, Carlo Traverso
|date= 2009
|publisher= [[Springer]]
|isbn= 9783540938057
|doi= 10.1007/978-3-540-93806-4
|via= [https://books.google.com/books?isbn=3540938060 GoogleBooks]. [http://link.springer.com/chapter/10.1007/978-3-540-93806-4_2 Publisher's site].
}}
* <!-- 6 cites in scholar.google.com as of 2017-->{{cite journal
|title= The FGLM Problem and Moeller's Algorithm on Zero-dimensional Ideals
|author= T. Mora
|pages= 27-46
|url= http://www.dima.unige.it/~morafe/PUBLICATIONS/LinzPunti.pdf
|work= Gröbner Bases, Coding, and Cryptography
|editor= Massimiliano Sala, Teo Mora, Ludovic Perret, Shojiro Sakata, Carlo Traverso
|date= 2009
|publisher= [[Springer]]
|isbn= 9783540938057
|doi= 10.1007/978-3-540-93806-4
|via= [https://books.google.com/books?isbn=3540938060 GoogleBooks]. [http://link.springer.com/content/pdf/10.1007/978-3-540-93806-4_3.pdf Publisher's site].
}}
* <!-- 6 cites in scholar.google.com as of 2017-->{{cite journal
|title= Term-ordering free involutive bases
|author= Michela Ceria, T Mora, Margherita Roggero
|work= [[Journal of Symbolic Computation]]
|date= 2015
|publisher= [[Elsevier]]
|url= https://arxiv.org/pdf/1310.0916
|via= [https://www.sciencedirect.com/science/article/pii/S074771711400073X Publisher's site].
}}

* <!-- 4 cites in scholar.google.com as of 2017-->{{cite journal
|title= A primer on ideal theoretical operation in non-commutative polynomial rings
|author= T Mora
|date= 2015
|publisher= [[World Scientific]]
|work= Journal of Algebra and Its Applications
|url= http://www.worldscientific.com/doi/pdf/10.1142/S0219498815500188
}}
* {{anchor|mora16}}<!-- 126 cites in scholar.google.com as of 2017 for the series-->{{cite book
|title= Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond
|author= T Mora
|date= 2016
|publisher= [[Cambridge University Press]]
|series= Encyclopedia of Mathematics and its Applications
|volume= 158
|url= https://books.google.com/books?id=3O-7CwAAQBAJ
}}
* <!-- 3 cites in scholar.google.com as of 2017-->{{cite journal
|title= Buchberger–Zacharias theory of multivariate ore extensions
|author= Michela Ceria, T Mora
|date= 2017
|work= Journal of Pure and Applied Algebra
|publisher= [[Elsevier]]
|url= http://arxiv.org/pdf/1701.01899
|via= [http://www.sciencedirect.com/science/article/pii/S0022404917300361 Publisher's site].
}}


[[Category:Italian mathematicians]]
[[Category:Italian mathematicians]]

Revision as of 21:41, 5 April 2017

Ferdinando 'Teo' Mora[a] is an Italian mathematician, and since 1990,[1] a professor of algebra at the University of Genoa.[b]

Life and work

Mora's degree is in mathematics from the University of Genoa in 1974.[1] Mora's publications span forty years; his best-cited[c] works thus far:

Mora is on the managing-editorial-board of the journal AAECC published by Springer,[2] and was also formerly an editor of the Bulletin of the Iranian Mathematical Society.[d] Mora co-chaired a 2008 conference at the University of Catania on differential algebra.[3]

See also

References

  1. ^ a b c d https://fermat.dima.unige.it/didattica/matematica/new/index.php/component/anagrafica/docenti/27/MoraTeo.html
  2. ^ http://www.springer.com/computer/theoretical+computer+science/journal/200/PS2?detailsPage=editorialBoard
  3. ^ http://www.sci.ccny.cuny.edu/~ksda/darca.pdf

Notes

  1. ^ Teo Mora is his nickname, but used in most of his post-1980s publications; he has also used the pen name Theo Moriarty.[1]
  2. ^ Currently in the Dipartimento di Matematica,[1] formerly[when?] in the Dipartimento di Informatica e Scienze dell'Informazione.[1]
  3. ^ https://scholar.google.com/scholar?q=%28%22Teo+Mora%22+OR+%22Ferdinando+Mora%22%29&as_sdt=1%2C44
  4. ^ http://www.disi.unige.it/person/MoraF/

Further reading

Retrieved from "https://en.wikipedia.org/w/index.php?title=Teo_Mora&oldid=774032949"