Stably finite ring
id:
stably-finite-ring-190-12232335
title:
Stably finite ring
text:
In mathematics, particularly in abstract algebra, a ring R is said to be stably finite if, for all square matrices A and B of the same size with entries in R, AB = 1 implies BA = 1. This is a stronger property for a ring than having the invariant basis number (IBN) property. Namely, any nontrivial stably finite ring has IBN. Commutative rings, noetherian rings and artinian rings are stably finite. Subrings of stably finite rings and matrix rings over stably finite rings are stably finite. A ring
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Stably_finite_ring
date created:
date modified:
2023-10-30T11:18:41Z
main entity:
{"identifier":"Q7595790","url":"https://www.wikidata.org/entity/Q7595790"}
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fields total:
13
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13