Abstract
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].
Citation
Huanyin Chen. "WEAKLY STABLE IDEALS OF EXCHANGE RINGS." Taiwanese J. Math. 12 (1) 25 - 38, 2008. https://doi.org/10.11650/twjm/1500602486
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