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Complemented hereditary radicals

Published online by Cambridge University Press:  17 April 2009

Robert L. Snider
Robert L. Snider
Affiliation:
University of Miami, Coral Gables, Florida, USA.
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Abstract

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The complemented elements of the lattice of hereditary radicals are characterized. A hypernilpotent complemented hereditary radical is the upper radical determined by a finite number of finite matrix rings. As a corollary, Stewart's characterization of radical semisimple classes is obtained. The methods are universal algebraic in nature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 3 , June 1971 , pp. 307 - 320
Copyright
Copyright © Australian Mathematical Society 1971

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