Quotient ring

id: quotient-ring-165-15328327
title: Quotient ring
text: 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 sp
brand slug: wiki
category slug: encyclopedia
description: Reduction of a ring by one of its ideals
original url: https://en.wikipedia.org/wiki/Quotient_ring
date created: 2003-02-18T02:33:00Z
date modified: 2024-08-29T13:02:02Z
main entity: {"identifier":"Q619436","url":"https://www.wikidata.org/entity/Q619436"}
image:
fields total: 13
integrity: 15

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