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Radicals related to the Brown-McCoy radical in some varieties of algebras

Part of: General nonassociative rings

Published online by Cambridge University Press:  09 April 2009

B. J. Gardner
B. J. Gardner
Affiliation:
University of TasmaniaHobart, Australia
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Abstract

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The Brown-McCoy radical is the upper radical defined by the class of simple rings with identities. For associative or alternative rings the Brown-McCoy radical is hereditary, and its semi-simple class consists of all subdirect products of simple rings with identities. In this paper we present some classes of simple non-associative algebras whose upper radicals behave similarly. Classifications are then obtained of ‘most’ semi-simple radical classes of (γ, δ) and right alternative rings.

MSC classification

Secondary: 17A30: Algebras satisfying other identities
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 3 , November 1979 , pp. 283 - 294
Copyright
Copyright © Australian Mathematical Society 1979

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