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

(algebra, order theory) A bounded lattice, L, modified to serve as a model for a logical calculus by being equipped with a binary operation called "implies", denoted → (sometimes ⊃ or ⇒), defined such that (a→b)∧a ≤ b and, moreover, that x = a→b is the greatest element such that x∧a ≤ b (in the sense that if c∧a ≤ b then c ≤ a→b).

(algebra) An algebra such that every subalgebra generated by two elements is associative.

plural of Lie algebra

(mathematics) A linear algebra whose mathematical structure underlies a Lie group’s structure.

(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

(algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.