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Invertible and regular elements in rings with involution

✍ Scribed by I.N Herstein; Susan Montgomery


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
622 KB
Volume
25
Category
Article
ISSN
0021-8693

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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 Ε½ . R . Assume that RC : C / 1, 4, 16. It is shown that any Lie derivation of K into Β² : itself can be extended to an ordinary derivation

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AND C. Robert Miers* Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada Communicated by Susan Montgomery