quotient ring - translation to russian
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quotient ring - translation to russian

CONSTRUCTION IN ABSTRACT ALGEBRA
Factor ring; Residue class ring; Residue ring; Quotient Ring; Factor Ring; Quotient associative algebra

quotient ring         

общая лексика

кольцо отношений

factor ring         

математика

фактор-кольцо

residue ring         

математика

кольцо вычетов

Definition

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

Wikipedia

Quotient ring

In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group theory and to the quotient space in linear algebra. It is a specific example of a quotient, as viewed from the general setting of universal algebra. Starting with a ring R and a two-sided ideal I in R, a new ring, the quotient ring R / I, is constructed, whose elements are the cosets of I in R subject to special + and operations. (Only the fraction slash "/" is used in quotient ring notation, not a horizontal fraction bar.)

Quotient rings are distinct from the so-called "quotient field", or field of fractions, of an integral domain as well as from the more general "rings of quotients" obtained by localization.

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