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Hereditary radicals and bands of associative rings

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

A. V. Kelarev
A. V. Kelarev
Affiliation:
Department of Mathematics Ural State UniversityLenina 51 Sverdlovsk USSR 620083
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Abstract

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Bands of associative rings were introduced in 1973 by Weissglass. For the radicals playing most essential roles in the structure theory (in particular, for those of Jacobson, Baer, Levitsky, Koethe) it is shown how to find the radical of a band of rings. The technique of the general Kurosh-Amitsur radical theory is used to consider many radicals simultaneously.

MSC classification

Secondary: 20M25: Semigroup rings, multiplicative semigroups of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 62 - 72
Copyright
Copyright © Australian Mathematical Society 1991

References

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