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Centralizing Mappings of 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
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Abstract

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Let R be a prime ring and U be a nonzero ideal or quadratic Jordan ideal of R. If L is a nontrivial automorphism or derivation of R such thatuL(u)—L(u)u is in the center of R for every u in U, then the ring R is commutative.

Keywords

16A1216A6816A7016A72
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 122 - 126
Copyright
Copyright © Canadian Mathematical Society 1984

References

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