Hostname: page-component-84b7d79bbc-2l2gl Total loading time: 0 Render date: 2024-07-26T13:37:10.933Z Has data issue: false hasContentIssue false
  • English
  • Français

Regular Rings are Very Regular

Published online by Cambridge University Press:  20 November 2018

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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!”

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 1 , 01 March 1982 , pp. 118
Copyright
Copyright © Canadian Mathematical Society 1982