Category:Abstract algebra

• List of abstract algebra topics

A

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

B

• Bifundamental representation
• Bilinear form

C

• Canonical basis
• Cauchy sequence
• Center (algebra)
• Centralizer and normalizer
• Closure (mathematics)
• Closure with a twist
• Coimage
• Cokernel
• Commutator
• Congruence relation
• Cycle graph (algebra)
• Cylinder (algebra)

D

• Digroup
• Dimension
• Direct limit
• Direct product
• Direct sum

E

• Eigenvalues and eigenvectors
• Embedding
• Euclidean vector
• Expression (mathematics)

F

• Field (mathematics)
• Filtration (mathematics)
• Formal derivative
• Formal power series
• Free object

G

• General linear group
• Generator (mathematics)

H

• Harmonic polynomial
• Height function
• Hyperstructure

I

• Icosian calculus
• Information algebra
• Inverse element
• Inverse limit
• Irreducible polynomial
• Isomorphism class

K

• Kernel (set theory)

L

• Linear independence
• Linear map
• Linear span

M

• Multilinear form
• Multiplicative inverse

N

• Normal basis

O

• Operad
• Ordered exponential

P

• Pairing
• Polarization identity
• Polarization of an algebraic form
• Predual
• Principle of distributivity

R

• Radical polynomial
• Row and column spaces

S

• Self-adjoint
• Setoid
• Simple (abstract algebra)
• Skew-Hermitian matrix
• Split exact sequence
• Subquotient

T

• Topological module
• Transpose

W

• Word problem (mathematics)

Z

• Zero divisor
• Zero-product property