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Radical properties defined locally by polynomial identities II

Published online by Cambridge University Press:  09 April 2009

B. J. Gardner
B. J. Gardner
Affiliation:
Dalhousie UniversityHalifax, N.S. Canada
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Abstract

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A radical class R of rings (not necessarily associtative) is called an n-radical class if it has the property that a ring is in R if and only if every subring generated by ≤n elements is in R. A transfer theorem is proved, relating n-radical classes in two universal varieties which share the same ≤n-generator rings. Partially through the use of this result, we obtain information about extension closed subvarieties of various universal varieties of power-associative rings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 3 , May 1979 , pp. 274 - 283
Copyright
Copyright © Australian Mathematical Society 1979

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