(transitive) To perform by algebra; to reduce to algebraic form.

(mathematics) conversion to algebraic form

plural of algebraization

plural of algebraism

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

(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.

(algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.

of, or relating to linear algebra

(mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.