(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

(algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;

(algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

plural of algebraic number

A mathematician who specializes in algebraic geometry.

plural of algebraic geometer

(mathematical analysis) A collection of subsets of a given set, such that the empty set is part of this collection, the collection is closed under complements (with respect to the given set) and the collection is closed under countable unions.

(algebra) The ring of differential operators with polynomial coefficients (in one variable), namely expressions of the form f_m(X)∂_Xᵐ+f_m-1(X)∂_Xᵐ⁻¹+⋯+f_1(X)∂_X+f_0(X).

two-element Boolean algebra

(mathematics) Any algebra in which multiplication (or its equivalent) is commutative.