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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.
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Abstract

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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