Abstract
The following problem arose in a conversation with Abraham Zaks: “Suppose R is an associative ring with identity such that every finitely generated left ideal is generated by idempotents. Is R von-Neumann regular?” In the literature the “s” in “idempotents” is missing, and is replaced by “an idempotent”. The answer is, “Yes!”
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Rings derived from group rings;Communications in Algebra;1992-01
2. Rings all of whose one-sided ideals are generated by idempotents;Communications in Algebra;1989-01
3. Associative rings;Journal of Soviet Mathematics;1987-08