Characterization of Generalized Jordan Higher Derivations on Triangular rings

2010/12/31 by Xiaofei Qi, Qi, Xiaofei
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1101.0221

12 pages

arxiv created 2010/12/31 · arxiv updated 2011/01/04

Abstract

Let \mathcal A and \mathcal B be unital rings and \mathcal M be a (\mathcal A, \mathcal B)-bimodule, which is faithful as a left \mathcal A-module and also as a right \mathcal B-module. Let \mathcal U=\rm Tri(\mathcal A, \mathcal M, \mathcal B) be the associated triangular ring. It is shown that every additive generalized Jordan (triple) higher derivation on \mathcal U is a generalized higher derivation.

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