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Canadian Mathematical Bulletin
Article . 1982 . Peer-reviewed
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Regular Rings are Very Regular

Regular rings are very regular
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1982 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 25, pages 118-118 (issn: 0008-4395, eissn: 1496-4287, Copyright policy )
Authors: Page, S. S.;

doi: 10.4153/cmb-1982-016-7

Regular Rings are Very Regular

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!”

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Keywords

Conditions on elements, invalid proof, von Neumann regular rings and generalizations (associative algebraic aspects), idempotents, finitely generated left ideal, von Neumann regular ring

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
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