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Centralizing Automorphisms of Lie Ideals in Prime Rings

Published online by Cambridge University Press:  20 November 2018

Joseph H. Mayne
Joseph H. Mayne*
Affiliation:
Department of Mathematical Sciences Loyola University of Chicago Chicago, Illinois 60626 U.S.A.
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Abstract

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Let R be a prime ring of characteristic not equal to two and let T be an automorphism of R. If U is a Lie ideal of R such that T is nontrivial on U and xxT — xTx is in the center of R for every x in U, then U is contained in the center of R.

Keywords

16A6816A7016A72
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 4 , 01 December 1992 , pp. 510 - 514
Copyright
Copyright © Canadian Mathematical Society 1992

References

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