Dialgebra: Difference between revisions
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In [[abstract algebra]], a '''dialgebra''' is the generalization of both [[algebra]] and [[coalgebra]]. The notion was originally introduced by Lambek as |
In [[abstract algebra]], a '''dialgebra''' is the generalization of both [[algebra]] and [[coalgebra]]. The notion was originally introduced by Lambek as "subequalizers".{{fact|date=December 2020}}<!-- a factoid taken from nlab; it need a citation to be sure. --> Many algebraic notions have previously been generalized to dialgebras.<ref>{{cite web|title=University of Nijmegen research papers|url=https://www.cs.ru.nl/E.Poll/papers/cmcs01.pdf|access-date=1 January 2015}}</ref> Dialgebra also attempts to obtain [[Lie algebra]]s from associated algebras.<ref>{{cite book |author=Jean-Louis Loday |chapter=Dialgebras |title=Dialgebras and Related Operads |location=Berlin |publisher=Springer |doi=10.1007/3-540-45328-8_2 |zbl=0999.17002}}</ref> |
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== See also == |
== See also == |
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Revision as of 22:10, 28 June 2023
In abstract algebra, a dialgebra is the generalization of both algebra and coalgebra. The notion was originally introduced by Lambek as "subequalizers".[citation needed] Many algebraic notions have previously been generalized to dialgebras.[1] Dialgebra also attempts to obtain Lie algebras from associated algebras.[2]
See also
References
- ^ "University of Nijmegen research papers" (PDF). Retrieved 1 January 2015.
- ^ Jean-Louis Loday. "Dialgebras". Dialgebras and Related Operads. Berlin: Springer. doi:10.1007/3-540-45328-8_2. Zbl 0999.17002.
Further reading
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