Algebra

Residue field

Associated prime

Prime spectrum

Prime ideal

Canonical representative

Coset

Graded algebra

Quotient ring

Finitely generated algebra

Hilbert's Nullstellensatz

Maximal ideal

Dual group

Toeplitz determinant

Skew Young tableau

Kostka number

Kac–Moody algebra

Crystal basis

Canonical basis

Free vector space

Universal property

Commutative algebra

Algebraic variety

Regular isomorphism

Regular map

Irreducible algebraic set

Affine subspace

Permutation group

Noncommutative group

Braid group

Quantum plane

q-deformation

Geometric volume interpretation

Positive semidefinite matrix

Determinant inequality

Rational root behavior

Cancellations

Expression reconstruction

Reverse distribution

Multipliers

Sylvester’s criterion

Principal minor

Quadratic form

Positive definite matrix

Equivalent expression

Substitution rule

Weighted inner product

Chain complex

Relation

Free module

Submodule