Nonlinear Lie triple derivations of triangular algebras

Autor:	Rongrong Liu, Yingzi Zhao, Peisheng Ji
Rok vydání:	2012
Předmět:	Discrete mathematics Nonlinear system Pure mathematics Algebra and Number Theory Commutative ring Algebra over a field Mathematics
Zdroj:	Linear and Multilinear Algebra. 60:1155-1164
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081087.2011.652109
Popis:	Let 𝒯 be a triangular algebra over a 2-torsion free commutative ring R. In this article, under some mild conditions on 𝒯, we prove that if δ: 𝒯 → 𝒯 is a nonlinear mapping satisfying for any x, y, z ∈ 𝒯, then δ = d + τ, where d is an additive derivation of 𝒯 and τ: 𝒯 → Z(𝒯) (where Z(𝒯) is the centre of 𝒯) is a map vanishing at Lie triple products [[x, y], z].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7fccc45baa91f739ca96016e36a2d9e2 https://doi.org/10.1080/03081087.2011.652109 Zobrazit plný text záznamu