Taiwanese Journal of Mathematics


Huanyin Chen

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Let I be an ideal of an exchange ring R. We say that I is weakly stable provided that every regular element in 1+I is one-sided unit-regular. If I is weakly stable, then so is Mn(I) as an ideal of Mn(R). Also every square regular matrix over such an ideal admits a diagonal reduction by right or left invertible matrices. These extend the corresponding results of [1],[6-8],[10] and [12-13].

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Taiwanese J. Math., Volume 12, Number 1 (2008), 25-38.

First available in Project Euclid: 21 July 2017

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Zentralblatt MATH identifier

Primary: 16E50: von Neumann regular rings and generalizations 16U99: None of the above, but in this section

exchange ring ideal comparability


Chen, Huanyin. WEAKLY STABLE IDEALS OF EXCHANGE RINGS. Taiwanese J. Math. 12 (2008), no. 1, 25--38. doi:10.11650/twjm/1500602486. https://projecteuclid.org/euclid.twjm/1500602486

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