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Lie Ideals in Associative Algebras

Published online by Cambridge University Press:  20 November 2018

G. J. Murphy
G. J. Murphy*
Affiliation:
University Of New Hampshire Durham, NH 03824U.S.A.
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Abstract

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It is shown that in a certain extensive class of algebras one can associate with each Lie ideal a corresponding associative ideal which facilitates the study of Lie ideals, especially for simple algebras. We apply this construction to obtain new, simpler proofs of some known results of Herstein [10] and others on the Lie structure of associative rings.

Keywords

16A6817B60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 10 - 15
Copyright
Copyright © Canadian Mathematical Society 1984

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