nLab Category — algebra

Overview

The nLab has 169 pages in this category.

Pages

• A-infinity-module
• affine algebra
• affine Grassmannian
• affine group scheme
• algebraic equation
• alternating sign matrix
• anti-Yetter-Drinfeld module
• Artin-Schelter regular algebra
• associative dialgebra
• associative Yang-Baxter equation
• Bergman's centralizer theorem
• bicovariant differential calculus
• Birkhoff's HSP theorem
• Birkhoff's subdirect representation theorem
• Bol loop
• brace
• brace algebra
• Bruck-Toyoda theorem
• Capelli identity
• categorification in representation theory
• Cayley's theorem
• central bimodule
• central simple algebra
• classification of finite simple groups
• cluster algebra
• coalgebra
• coalgebroid
• Cohen-Macaulay module
• Cohen-Macaulay ring
• colocalization
• combinatorial group theory
• contramodule
• coring
• crossed product algebra
• crystal basis
• cyclic derivation
• dendriform algebra
• Dirac cohomology
• divisible module
• Dodgson condensation
• double affine Hecke algebra
• double derivation
• double Poisson structure
• down-up algebra
• Drinfel'd twist
• dual basis
• dual bialgebra
• dual gebra
• elementary matrix
• essential ideal
• face algebra
• finite field
• formality
• formally real field
• free Lie algebra
• Frobenius algebra
• fundamental theorem of linear algebra
• Gabriel multiplication
• gebra theory
• Goldie rank
• Grassmannian
• Hausdorff series
• heap
• Heisenberg double
• historical notes on quasigroups
• Hopf algebroid
• Hopf algebroid over a commutative base
• Hopf module
• hypergroup
• hypermagma
• hyperring
• identity of Bol-Moufang type
• idiom
• internal direct sum
• internal sum
• inverse semigroup
• invertible magma
• isotope (algebra)
• Jacobian algebra
• Jacobian conjecture
• Jacobson ring
• Joost Vercruysse
• Kac algebra
• Kontsevich formality
• Laplace expansion
• linear algebraic group
• linear equation
• local category
• Macdonald Constant-Term Conjecture
• Macdonald polynomial
• magma
• mediality
• Milnor-Moore theorem
• model theory of fields
• modular ideal
• modules over a ring are equivalent to quasicoherent sheaves over its spectrum
• Morita context
• multiplicative system
• multivalued group
• N-complex
• Nakayama's lemma
• near-ring
• necklace Lie algebra
• Nichols algebra
• noncommutative rational function
• Ore domain
• partitioned matrix
• Plücker embedding
• polynomial identity ring
• positroid
• post-Lie algebra
• power series
• pre-Calabi-Yau algebra
• preprojective algebra
• projective dimension
• pseudocompact ring
• quantic nucleus
• quantized function algebra
• quantum algebra
• quantum determinant
• quantum flag manifold
• quantum nilpotent algebra
• quantum Schubert cell
• quantum symmetric pair
• quasideterminant
• quasifield
• Radford-Majid bosonisation
• radical ring
• rational Cherednik algebra
• reciprocal algebra
• Rees matrix semigroup
• regular field extension
• rewriting
• Rota-Baxter algebra
• row echelon form
• row operation
• RTT bialgebra
• scalar extension bialgebroid
• Schanuel's lemma
• Schauenburg bialgebroid
• Schur complement
• semigroup
• semimodular lattice
• set theoretic Yang-Baxter equation
• shelf
• singular submodule
• skew brace
• skewfield
• socle
• standard monomial
• Stefaan Caenepeel
• superfluous epimorphism
• symplectic reflection algebra
• symplectic representation
• Takeuchi product
• tertiary radical
• totally positive matrix
• transvection
• truss
• twisted tensor product of algebras
• umbral calculus
• uniform filter
• uniform module
• universal coacting bialgebra
• W algebra
• Wagner-Preston theorem
• weak bialgebra
• wreath product of groups
• Yetter-Drinfeld module