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Lie Ideals in Associative Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1984
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