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

(algebraic geometry) The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition.

two-element Boolean algebra

plural of simple algebra

(algebra) An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).

(mathematics, education) An informally defined area of algebra considered suitable to be taught to secondary school students.

(algebra) Any one of the unital composition algebras identified by Hurwitz's theorem (on composition algebras) as solutions to the Hurwitz problem.

plural of algebraic poset

(algebra, order theory) A partially ordered set (poset) in which every element is the supremum of the compact elements below it.

plural of composition algebra