Artinian ring
id:
artinian-ring-315-18652725
title:
Artinian ring
text:
In mathematics, specifically abstract algebra, an Artinian ring is a ring that satisfies the descending chain condition on (one-sided) ideals; that is, there is no infinite descending sequence of ideals. Artinian rings are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are finite-dimensional vector spaces over fields. The definition of Artinian rings may be restated by interchanging the descending
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Artinian_ring
date created:
date modified:
2023-10-28T22:20:44Z
main entity:
{"identifier":"Q713084","url":"https://www.wikidata.org/entity/Q713084"}
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13
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