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The lower radical construction for non-associative rings: Examples and counterexamples

Published online by Cambridge University Press:  17 April 2009

B.J. Gardner
B.J. Gardner
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, Tasmania.
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Abstract

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Some sufficient conditions are presented for the lower radical construction in a variety of algebras to terminate at the step corresponding to the first infinite ordinal. An example is also presented, in a variety satisfying some non-trivial identities, of a lower radical construction terminating in four steps.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 2 , April 1979 , pp. 259 - 271
Copyright
Copyright © Australian Mathematical Society 1979

References

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