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Central *-Differential Identities in Prime Rings

Published online by Cambridge University Press:  20 November 2018

P. H. Lee  and
T. L. Wong
P. H. Lee
Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan
T. L. Wong
Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan
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Abstract

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Let R be a prime ring with involution and d, δ be derivations on R. Suppose that xd(x)—δ(x)x is central for all symmetric x or for all skew x. Then d = δ = 0 unless R is a commutative integral domain or an order of a 4-dimensional central simple algebra.

Keywords

16W2516W1016N6016R50involutionderivationsymmetric elementskew element
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 2 , 01 June 1996 , pp. 211 - 215
Copyright
Copyright © Canadian Mathematical Society 1996

References

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