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Quantum Algebra,Quantum Logics,Algebraic Logic,Quantum Computers and Algebraic Mathematics

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Abelian and Non-Abelian Structures in Algebraic Mathematics

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Algebraic Logic
Boolean logic
Algebraic logic
Abstract algebraic logic
Łukasiewicz logic
MV-algebra
Relation algebra
Relational algebra
Heyting algebra
Intuitionistic logic
Mathematical logic
Heyting arithmetic
Symbolic logic
Metatheory
Metalogic
Quantum Logics and Quantum Computers
Multi-valued logic
Quantum logic
Quantum computer
Quantum Algebra and Standard Model
Quantum algebra
Quantum affine algebra
Clifford algebra
Von Neumann algebra
C*-algebra
Affine Lie algebra
Kac–Moody algebra
Hopf algebra
Quantum group
Affine quantum group
Group representation
Unitary representation
Representation theory of the Lorentz group
Stone–von Neumann theorem
Peter–Weyl theorem
Quasi-Hopf algebra
Quantum double
Quasitriangular Hopf algebra
Ribbon Hopf algebra
Quasi-triangular Quasi-Hopf algebra
Quantum inverse scattering method
Grassmann algebra
Supergroup
Superalgebra
Yangian
Standard Model
Noncommutative quantum field theory
Noncommutative standard model
Noncommutative geometry
Algebraic Geometry
Algebraic geometry
List of algebraic geometry topics
Universal algebraic geometry
Grothendieck–Hirzebruch–Riemann–Roch theorem
Algebraic geometry and analytic geometry
Differential Geometry
Differential geometry
Differentiable manifold
Riemannian manifold
Abstract Algebra
Abstract algebra
Universal algebra
Group algebra
Lie algebra
Lie group
Algebroid
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
Cohomology theory
K-theory
Algebraic K-theory
Topological K-theory
Category Theory
Category theory
Category (mathematics)
Glossary of category theory
Dual (category theory)
Abelian category
Functor
Yoneda lemma
Limit (category theory)
Adjoint functors
Natural transformations
Algebraic category
Domain theory
Enriched category theory
Topos
Descent (category theory)
Stack (descent theory)
Categorical logic
Timeline of category theory and related mathematics
List of important publications in mathematics
Higher Dimensional Algebras (HDA)
Higher-dimensional algebra
Higher category theory
Duality (mathematics)