Stable range condition
id:
stable-range-condition-297-1299737
title:
Stable range condition
text:
In mathematics, particular in abstract algebra and algebraic K-theory, the stable range of a ring R is the smallest integer n such that whenever v 0 , v 1 , . . . , v n in R generate the unit ideal, there exist some t 1 , . . . , t n in R such that the elements v i − v 0 t i for 1 ≤ i ≤ n also generate the unit ideal. If R is a commutative Noetherian ring of Krull dimension d , then the stable range of R is at most d + 1 .
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Stable_range_condition
date created:
date modified:
2023-11-20T10:19:57Z
main entity:
{"identifier":"Q18192482","url":"https://www.wikidata.org/entity/Q18192482"}
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13
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