Algebrilised

Algebrilised is an Estonian adjective meaning algebraic. It is used to describe mathematical objects, properties, or relations that can be defined by polynomial equations or that arise from algebraic structures over a field. The form algebrilised is the plural nominative of the adjective; the singular is algebriline.

In mathematics, objects described as algebraic include algebraic numbers (roots of nonzero polynomials with integer coefficients), algebraic functions (functions that satisfy a polynomial equation whose coefficients are polynomials in the variable), and algebraic varieties (solution sets to systems of polynomial equations). Other algebraic concepts include algebraic groups and algebraic extensions, where the defining relations are polynomial.

The term is contrasted with transcendental, which designates numbers, functions, or objects that do not satisfy any polynomial relation with coefficients in a given field. The distinction is central in fields such as number theory and algebraic geometry and influences methods, such as algebraic versus analytic techniques.

In Estonian usage, algebrilised appears in mathematical terminology and textbooks to classify statements or objects that adhere to polynomial-based descriptions, as opposed to those described by non-polynomial or analytic means.

Etymology: from algebra + -iline; used in plural form to modify plural nouns.