(algebra) A mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.

(algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.

(mathematics) The branch of mathematics that deals with vectors and operations on them.

(mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations. / (algebra) an associative algebra

of, or relating to linear algebra

(mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.

(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.

plural of algebraic variety

plural of algebraic subvariety

(algebraic geometry) A subset of an algebraic variety that is itself an algebraic variety.