polynomial ring - translation to russian
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polynomial ring - translation to russian

ALGEBRAIC STRUCTURE
Polynomial algebra; Integral polynomial; Ring of polynomials; Free commutative algebra; Free commutative ring; Integer Polynomial; Polynomial expression; Multivariate polynomial ring; Polynomial rings

polynomial ring         

математика

кольцо многочленов

polynomial ring         
кольцо полиномов (многочленов)
ring of polynomials         

математика

кольцо многочленов

Definition

Bague
·noun The annular molding or group of moldings dividing a long shaft or clustered column into two or more parts.

Wikipedia

Polynomial ring

In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

Often, the term "polynomial ring" refers implicitly to the special case of a polynomial ring in one indeterminate over a field. The importance of such polynomial rings relies on the high number of properties that they have in common with the ring of the integers.

Polynomial rings occur and are often fundamental in many parts of mathematics such as number theory, commutative algebra, and algebraic geometry. In ring theory, many classes of rings, such as unique factorization domains, regular rings, group rings, rings of formal power series, Ore polynomials, graded rings, have been introduced for generalizing some properties of polynomial rings.

A closely related notion is that of the ring of polynomial functions on a vector space, and, more generally, ring of regular functions on an algebraic variety.

What is the Russian for polynomial ring? Translation of &#39polynomial ring&#39 to Russian