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Nonlinear Lie higher derivations on triangular algebras

✍ Scribed by Xiao, Zhankui; Wei, Feng

Book ID: 111947758
Publisher: Taylor and Francis Group
Year: 2012
Tongue: English
Weight: 175 KB
Volume: 60
Category: Article
ISSN: 0308-1087
DOI: 10.1080/03081087.2011.639373

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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 ∈ T with xy = 0 (resp. xy = p, where p is the standard idempotent of T ), then δ = d + τ , where d is a derivation of T and τ : T -→ Z(T ) (where Z(T ) is the cent