ON QUASI-STABLE EXCHANGE IDEALS

Title & Authors
ON QUASI-STABLE EXCHANGE IDEALS
Chen, Huanyin;

Abstract
We introduce, in this article, the quasi-stable exchange ideal for associative rings. If I is a quasi-stable exchange ideal of a ring R, then so is $\small{M_n}$(I) as an ideal of $\small{M_n}$(R). As an application, we prove that every square regular matrix over quasi-stable exchange ideal admits a diagonal reduction by quasi invertible matrices. Examples of such ideals are given as well.
Keywords
quasi-stable ideal;exchange ideal;diagonal reduction;
Language
English
Cited by
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