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.

plural of algebraic function

Alternative letter-case form of Abelian algebra

(mathematics) The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).

(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.

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