(mathematics) The quality of being algebraic

The quality of being algebraic.

plural of algebraization

plural of algebraism

The use of abstract logic and symbol manipulation as opposed to empirical observation.

(algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

(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.

plural of algebraic number

(algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;

The branch of mathematics that deals with groups, monoids, fields, and like algebraic structures.