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Lie Derivations of Triangular Algebras

โœ Scribed by Cheung, Wai-Shun

Book ID
121459927
Publisher
Taylor and Francis Group
Year
2003
Tongue
English
Weight
160 KB
Volume
51
Category
Article
ISSN
0308-1087

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Characterizations of Lie derivations of
Characterizations of Lie derivations of triangular algebras
โœ Peisheng Ji; Weiqing Qi ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

Let T be a triangular algebra over a commutative ring R. In this paper, under some mild conditions on T , we prove that if for any x, y โˆˆ T with xy = 0 (resp. xy = p, where p is the standard idempotent of T ), then ฮด = d + ฯ„ , where d is a derivation of T and ฯ„ : T -โ†’ Z(T ) (where Z(T ) is the cent