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Keywords:
exchange ring; one-sided unit-regularity; idempotent
exchange ring; one-sided unit-regularity; idempotent
Summary:
Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in $R$ is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.
References:
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