Category:Abstract algebra

• Theorems in abstract algebra‎ (6 C, 31 P)

A

• Algebraic structures‎ (7 C, 112 P)

M

• Morphisms‎ (2 C, 29 P)

O

• Binary operations‎ (3 C, 42 P)
• Ternary operations‎ (9 P)

P

• Polynomials‎ (7 C, 228 P)
• Process calculi‎ (22 P)

S

• Scalars‎ (2 C, 9 P)

V

• Vectors (mathematics and physics)‎ (4 C, 44 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
• Alternativity
• Anticommutative property
• Anticommutativity
• 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
• Cover (algebra)
• Cycle graph (algebra)
• Cyclic vector
• Cylinder (algebra)

D

• Physics:Dimension
• Direct limit
• Direct product
• Direct sum
• Dixmier conjecture

E

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

F

• Faltings' annihilator theorem
• Field (mathematics)
• Formal derivative
• Formal power series
• Free object

G

• Garside element
• General linear group
• Generating set of a module
• Generator (mathematics)
• Goodman-Nguyen-Van Fraassen algebra
• Goodman–Nguyen–van Fraassen algebra
• Goodman–Nguyen–Van Fraassen algebra
• Graded-commutative ring

H

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

I

• Icosian calculus
• Idealizer
• Indeterminate (variable)
• Infinite expression
• Information algebra
• Inverse element
• Inverse limit
• Irreducible polynomial
• Isomorphism class

K

• Kernel (set theory)

L

• Left and right (algebra)
• Lie's theorem
• Light's associativity test
• Linear independence
• Linear map
• Linear span
• Locally finite operator
• Lulu smoothing

M

• Maximal common divisor
• Minimal ideal
• Multilinear form
• Multiplicative inverse

N

• N-ary associativity
• Near sets
• Normal basis
• Normal element

O

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

P

• Parallel (operator)
• Perfect complex
• Poincaré space
• Polarization identity
• Polarization of an algebraic form
• Positive element
• Power set
• Predual
• Principle of distributivity

Q

• Quasi-free algebra

R

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

S

• Scalar multiplication
• Self-adjoint
• Separating lattice homomorphism
• Sequential dynamical system
• Setoid
• Simple (abstract algebra)
• Skew-Hermitian matrix
• Split exact sequence
• Subquotient

T

• Total algebra
• Transpose

U

• Unitary element

W

• Wheel theory
• Word problem (mathematics)

Y

• Yoneda product

Z

• Zero divisor
• Zero-product property