(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.

(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.

(algebra) A mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.

(mathematics) The branch of mathematics that deals with vectors and operations on them.