Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-23T02:41:23.543Z Has data issue: false hasContentIssue false
  • English
  • Français

On Von Neumann Regular Rings

Published online by Cambridge University Press:  20 November 2018

Kwangil Koh
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.

Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there is a minimal right ideal.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 283 - 284
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Jacobson, N., Structure of rings, Amer. Math. Soc. Colloquim publication, Vol. 37 (1964).Google Scholar