Book:Algebraic Mathematics and Logics

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Algebraic Logic and Algebraic Mathematics
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Algebraic Logic and Algebraic Mathematics[edit]

Algebraic Logic
Boolean algebra
Algebraic logic
Łukasiewicz logic
Intuitionistic logic
Mathematical logic
Heyting arithmetic
Metatheory
Metalogic
Quantum Logics and Quantum Computers
Many-valued logic
Quantum logic
Quantum computer
Abstract Algebra
Abstract algebra
Universal algebra
Heyting algebra
MV-algebra
Group algebra
Lie algebra
Affine Lie algebra
Lie group
Algebroid
Quantum Algebra and Geometry
Quantum affine algebra
Clifford algebra
Von Neumann algebra
C*-algebra
Kac–Moody algebra
Hopf algebra
Quantum group
Group representation
Unitary representation
Representation theory of the Lorentz group
Stone–von Neumann theorem
Peter–Weyl theorem
Quasi-Hopf algebra
Quasitriangular Hopf algebra
Ribbon Hopf algebra
Quasi-triangular Quasi-Hopf algebra
Quantum inverse scattering method
Yangian
Exterior algebra
Superalgebra
Supergroup
Noncommutative quantum field theory
Standard Model
Noncommutative standard model
Noncommutative geometry
Algebraic Geometry and Analytic Geometry
Algebraic geometry
List of algebraic geometry topics
Duality
Universal algebraic geometry
Grothendieck topology
Grothendieck–Hirzebruch–Riemann–Roch theorem
Algebraic geometry and analytic geometry
Differential geometry
Algebraic Topology, Group Theory and Groupoids
Algebraic topology
Groupoid
Group theory
Abelian group
Galois group
Grothendieck group
Esquisse d'un Programme
Galois theory
Grothendieck's Galois theory
Galois cohomology
Homological algebra
Homology theory
Homotopical algebra
De Rham cohomology
Crystalline cohomology
Cohomology
K-theory
Algebraic K-theory
Topological K-theory
Category Theory and Categorical Logic
Category theory
Category
Glossary of category theory
Dual
Abelian category
Functor
Yoneda lemma
Limit
Adjoint functors
Natural transformations
Variety
Domain theory
Enriched category
Topos
Descent
Stack
Categorical logic
Timeline of category theory and related mathematics
List of important publications in mathematics
Higher Dimensional Algebras
Higher-dimensional algebra
Higher category theory
Duality