Geodesic
Regular Rings are Very Regular
Canadian mathematical bulletin, Tome 25 (1982) no. 1, p. 118

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DOI

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!” 
Regular Rings are Very Regular. Canadian mathematical bulletin, Tome 25 (1982) no. 1, p. 118. doi: 10.4153/CMB-1982-016-7
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