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Lie ideals and centralizing generalized derivations of rings with involution

โœ Scribed by Lahcen Oukhtite


Book ID
107702002
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
135 KB
Volume
52
Category
Article
ISSN
0138-4821

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Lie ideals and derivations of prime ring
โœ Jeffrey Bergen; I.N Herstein; Jeanne Wald Kerr ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB
Lie Derivations of the Skew Elements of
โœ Gordon A. Swain ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 258 KB

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