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Lie Derivations of the Skew Elements of Prime Rings with Involution

✍ Scribed by Gordon A. Swain

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 258 KB
Volume: 184
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0281

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✦ Synopsis

Let R be a prime ring with involution of the first kind, and characteristic / 2, 3. Let K denote the skew elements of R, and let C denote the extended centroid of Ž . R . Assume that RC : C / 1, 4, 16. It is shown that any Lie derivation of K into ² : itself can be extended to an ordinary derivation of K . Counterexamples are given for the low dimension cases.

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