Hostname: page-component-f554764f5-246sw Total loading time: 0 Render date: 2025-04-21T09:31:00.585Z Has data issue: false hasContentIssue false
  • English
  • Français

Left and right zero divisors in group algebras

Published online by Cambridge University Press:  17 April 2009

D. Handelman  and
J. Lawrence
D. Handelman
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, Utah, USA;
J. Lawrence
Affiliation:
Department of Mathematics, University of Waterloo, Waterloo, Ontario, Canada.
Rights & Permissions [Opens in a new window]

Abstract

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.

We prove that most group algebras of free products have left zero divisors that are not right zero divisors.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 453 - 454
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Goodearl, K. and Handelman, D., “Simple self-injective rings”, Comm. Algebra 3 (1975), 797–834.CrossRefGoogle Scholar
[2]Handelman, David and Lawrence, John, “Strongly prime rings”, Trans. Amer. Math. Soc. 211 (1975), 209–223.CrossRefGoogle Scholar
[3]Herstein, I.N., Noncommutative rings (Carus Mathematical Monographs, 15. Mathematical Association of America, [Buffalo], 1968).Google Scholar
[4]Herstein, I.N., Notes from a ring theory conference (Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, 9. American Mathematical Society, Providence, Rhode Island, 1971).Google Scholar