Category:Abstract algebra

• Theorems in abstract algebra (9 C, 23 P)

*

• Fields of abstract algebra (18 C, 1 P)

A

• Algebraic properties of elements (11 P)
• Algebraic structures (9 C, 110 P)

M

• Morphisms (3 C, 29 P)

O

• Binary operations (9 C, 33 P)
• Ternary operations (8 P)

P

• Polynomials (10 C, 219 P)
• Process calculi (20 P)

S

• Scalars (3 C, 8 P)

V

• Vectors (mathematics and physics) (5 C, 36 P)

Σ

• Abstract algebra stubs (4 C, 141 P)

• Abstract algebra
• List of abstract algebra topics

A

• A∞-operad
• Absolute value (algebra)
• Absolutely convex set
• Absorption law
• Proofs involving the addition of natural numbers
• Additive identity
• Additive inverse
• Algebraic element
• Algebraic independence
• Algebraic structure
• Arity
• Automorphism

B

• Bendixson's inequality
• Bifundamental representation
• Bilinear form

C

• Canonical basis
• Cauchy sequence
• Center (algebra)
• Centralizer and normalizer
• Closure (mathematics)
• Closure with a twist
• Coimage
• Cokernel
• Commutator
• Conditional event algebra
• Conformal linear transformation
• Congruence relation
• Cover (algebra)
• Cycle graph (algebra)
• Cyclic vector
• Cylinder (algebra)

D

• Differential graded module
• Digroup
• Dimension
• Direct limit
• Direct product
• Direct sum
• Distribution (number theory)
• Distribution algebra
• Distributive homomorphism
• Dixmier conjecture

E

• E∞-operad
• Eigenvalues and eigenvectors
• Embedding
• Euclidean vector
• Expression (mathematics)

F

• Factorization algebra
• Faltings' annihilator theorem
• Field (mathematics)
• Filtration (mathematics)
• Formal derivative
• Formal power series
• Free object
• Free presentation
• Free product of associative algebras

G

• Garside element
• Gelfand–Kirillov dimension
• General linear group
• Generating set of a module
• Generator (mathematics)
• Graded-commutative ring
• Groupoid algebra

H

• Harmonic polynomial
• Hasse–Schmidt derivation
• Hecke algebra
• Height function
• Hidden algebra
• Higher-order operad
• Homomorphic secret sharing
• Hyperstructure

I

• Icosian calculus
• Idealizer
• Indeterminate (variable)
• Infinite expression
• Information algebra
• Infrastructure (number theory)
• Integrable module
• Inverse element
• Inverse limit
• Irreducible polynomial
• Isomorphism class

K

• Kernel (set theory)

L

• Left and right (algebra)
• Lie operad
• Light's associativity test
• Linear independence
• Linear map
• Linear span
• List of problems in loop theory and quasigroup theory
• Locally finite operator
• Lulu smoothing

M

• Maximal common divisor
• Minimal algebra
• Minimal ideal
• Moderne Algebra
• Multilinear form
• Multiplicative inverse

N

• Near sets
• Emmy Noether bibliography
• Normal basis
• Normal element

O

• Operad
• Operad algebra
• Ordered exponential
• Orthogonality (mathematics)

P

• Parallel (operator)
• Perfect complex
• Poincaré space
• Polarization identity
• Polarization of an algebraic form
• Positive element
• Predual
• Prime avoidance lemma
• Principle of distributivity
• Pseudoalgebra

Q

• Quadratic-linear algebra
• Quasi-free algebra

R

• Radical polynomial
• Rational series
• Rayleigh's quotient in vibrations analysis
• Row and column spaces

S

• Schur algebra
• Self-adjoint
• Sequential dynamical system
• Setoid
• Simple (abstract algebra)
• Skew-Hermitian matrix
• Sklyanin algebra
• Split exact sequence
• Subfield of an algebra
• Subquotient

T

• Tertiary ideal
• Topological module
• Total algebra
• Transpose

U

• Unitary element

W

• Word problem (mathematics)

Y

• Yoneda product

Z

• Zero divisor
• Zero-product property