Coherent ring
id:
coherent-ring-322-537137
title:
Coherent ring
text:
In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. The ring of polynomials in an infinite number of variables over a left Noetherian ring is an example of a left coherent ring that is not left Noetherian. A ring is left coherent if and only if every dir
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic structure
original url:
https://en.wikipedia.org/wiki/Coherent_ring
date created:
date modified:
2022-01-27T19:18:19Z
main entity:
{"identifier":"Q2851410","url":"https://www.wikidata.org/entity/Q2851410"}
image:
fields total:
13
integrity:
14