Abstract
In this paper, we investigate one-sided unit-regular ideals of regular rings. Let $I$ be a purely infinite, simple and essential ideal of a regular ring $R$. It is shown that $R$ is one-sided unit-regular if and only if so is $R/I$. Also we prove that every square matrix over one-sided unit-regular ideals of regular rings admits a diagonal matrix with idempotent entries.
Citation
Huanyin Chen. "ONE-SIDED UNIT-REGULAR IDEALS OF REGULAR RINGS." Taiwanese J. Math. 8 (4) 761 - 770, 2004. https://doi.org/10.11650/twjm/1500407717
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