(algebraic geometry) A group that is an algebraic variety.

plural of algebraic extension

(algebra, field theory) A field extension L/K which is algebraic over K (i.e., is such that every element of L is a root of some (nonzero) polynomial with coefficients in K).

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.

(algebra, field theory) (Of a subset S of the extension field L of a given field extension L / K) whose elements do not satisfy any non-trivial polynomial equation with coefficients in K.

Used other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.

(algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.

(mathematics, statistics) A discipline within mathematical statistics in which algebra is used to describe and analyse problems;

plural of algebraic notation