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Commuting and centralizing generalized derivations on lie ideals in prime rings

โœ Scribed by V. De Filippis; F. Rania


Book ID
110149840
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
560 KB
Volume
88
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Jeffrey Bergen; I.N Herstein; Jeanne Wald Kerr ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB
On generalized Lie derivations of Lie id
โœ Ping-Bao Liao; Cheng-Kai Liu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R โ†’ A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y โˆˆ R, then there exist a generalized de