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http://dx.doi.org/10.4134/JKMS.2010.47.1.001

ON QUASI-STABLE EXCHANGE IDEALS  

Chen, Huanyin (Department of Mathematics Hangzhou Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.1, 2010 , pp. 1-15 More about this Journal
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 $M_n$(I) as an ideal of $M_n$(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;
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