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On semi-simple radical classes

Published online by Cambridge University Press:  17 April 2009

B.J. Gardner  and
Patrick N. Stewart
B.J. Gardner
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, Tasmania;
Patrick N. Stewart
Affiliation:
Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada.
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Abstract

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It has been incorrectly asserted that each non-trivial semi-simple radical class of associative rings is a variety defined by an equation of the form xn = x. In this paper we give, for each non-trivial semi-simple radical class of associative rings, a set of equations which does define that class as a variety.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 349 - 353
Copyright
Copyright © Australian Mathematical Society 1975

References

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