• Abstract algebra
• Algebraic topology

B

• Boolean algebra

C

• Computer algebra

E

• Elementary algebra
• Equations

H

• Homological algebra

I

• Identities

P

• Polynomials

• (0,1)-matrix

A

• Abel-Ruffini theorem
• Abelian group
• Algebra
• Algebra homomorphism
• Algebra over a field
• Algebraic element
• Algebraic extension
• Algebraic function
• Algebraic number
• Algorithm
• Anyonic Lie algebra
• Associative algebra
• Associativity
• Automorphism
• Axiom

B

• Basis (linear algebra)
• Binary operation
• Binomial
• Binomial theorem
• Buchberger's algorithm

C

• Canonical form
• Cayley's theorem
• Closed-form solution
• Commutative operation
• Commutator
• Complete lattice
• Completing the square
• Congruence relation
• Cross product

D

• Degree (mathematics)
• Determinant
• Difference of two squares
• Digital root
• Dimension

D cont.

• Distributive lattice
• Distributivity
• Dot product
• Dual space

E

• Eigenvector
• Elementary algebra
• Empty set
• Endomorphism
• Even and odd permutations
• Expression (mathematics)

F

• Factorization
• Filtration (abstract algebra)
• Flasque sheaf

G

• Group action

I

• Identity (mathematics)
• Identity element
• Indeterminate (variable)
• Intersection (set theory)
• Inverse element
• Irreducible polynomial
• Isomorphism

K

• K-theory
• Kernel (algebra)
• Kernel of a function

L

• Latin square
• Lattice (order)
• Linear algebra
• Linear combination
• Linear independence
• Linear span
• Linear transformation

M

• Matrix (mathematics)
• Monomial
• Monomial basis
• Multinomial theorem
• Multiplicative inverse

O

• Operator
• Order of operations
• Ordered field
• Orthogonality

P

• P-adic analysis
• Pairing
• Partial fraction
• Perfect square
• Permutation
• Polynomial
• Power set
• Predual
• Projection-valued measure
• Pseudoinverse

R

• Rank (linear algebra)
• Ratio
• Rational function
• Rational root theorem
• Recurrence relation
• Ring theory
• Row and column spaces

S

• Scalar
• Sheaf
• Spectrum of a ring
• Square (algebra)
• Symbolic method of invariant theory
• Symmetric difference
• System of linear equations

T

• Theory of equations
• Topological module
• Transformation semigroup
• Transpose

U

• Union (set theory)
• Unital

V

• Variable
• Vector (spatial)