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.
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