Algebraic Logic, Quantum Algebra and Algebraic Mathematics
- Algebraic Logic, Quantum Logic, Quantum Algebra, Algebra, Algebraic Geometry, Algebraic Topology, Category Theory and Higher Dimensional Algebra v.2min
- Boolean logic
- Intuitionistic logic
- Heyting arithmetic
- Algebraic Logic and Many-Valued Logic
- Algebraic logic
- Łukasiewicz logic
- Ternary logic
- Multi-valued logic
- Mathematical logic
- Symbolic logic
- Metalogic
- Metatheory
- Metamathematics
- Abstract Algebra
- Abstract algebra
- Universal algebra
- Heyting algebra
- MV-algebra
- Group theory
- Abelian group
- Group algebra
- Cayley's theorem
- Special Algebras, Operator Algebra and Quantum Algebra
- Lie algebra
- Lie group
- 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
- Quantum algebra
- Quantum affine algebra
- Clifford algebra
- Von Neumann algebra
- C*-algebra
- Quasi-Hopf algebra
- Quantum double construction
- Quasitriangular Hopf algebra
- Ribbon Hopf algebra
- Quasi-triangular Quasi-Hopf algebra
- Quantum inverse scattering method
- Grassmann algebra
- Supergroup
- Superalgebra
- Algebroid
- Algebraic Geometry
- Algebraic geometry
- List of algebraic geometry topics
- Duality (projective geometry)
- Universal algebraic geometry
- Motive (algebraic geometry)
- Grothendieck–Hirzebruch–Riemann–Roch theorem
- Coherent sheaf
- Grothendieck topology
- Crystalline cohomology
- De Rham cohomology
- Algebraic geometry and analytic geometry
- Riemannian manifold
- List of complex analysis topics
- Algebraic Topology and Groupoids
- Algebraic topology
- Groupoid
- 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 Theories
- Category theory
- Category (mathematics)
- Glossary of category theory
- Dual (category theory)
- Abelian category
- Functors
- 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)