ALGEBRAIC

algebraic, algebraical

(adjective) of or relating to algebra; “algebraic geometry”

Source: WordNet® 3.1

Etymology

Adjective

algebraic (comparative more algebraic, superlative most algebraic)

Of, or relating to, algebra.

(mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.

(algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.

(algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.

(chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

Antonyms

• (that is the root of some polynomial): transcendental

• (whose every element is the root of some polynomial): transcendental

Hyponyms

• (that is the root of some polynomial): quadratic number

Source: Wiktionary

Al`ge*bra"ic, Al`ge*bra"ic*al, a.

Definition: Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the coördinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.

Source: Webster’s Unabridged Dictionary 1913 Edition