Generalized skew derivations characterized by acting on zero products.
type: Item
instance of: scholarly article
title: Generalized skew derivations characterized by acting on zero products.
zbMATH Open document ID: 1078.16038
author: Tsiu-Kwen Lee
published in: Pacific Journal of Mathematics
publication date: 2005-02-24T00:00:00Z
review text: The goal of this paper is to generalize the result from the recent paper by \textit{M. A. Chebotar}, \textit{W.-F. Ke} and \textit{P.-H. Lee} [Pac. J. Math. 216, No. 2, 217-228 (2004; see the review Zbl 1078.16034 above)] characterizing derivations by their actions on zero products to generalized skew derivations. The following situation is considered: \(A\) is a prime ring whose symmetric Martindale ring of quotients contains a nontrivial idempotent, \(\sigma\) is an automorphism of \(A\), and \(g,\delta\colon A\to A\) are additive maps such that \(xy=0\) implies \(\sigma(x)d(y)+\delta(x)y=0\). Then \(g\) and \(\delta\) are described as certain generalized \(\sigma\)-derivations on a nonzero ideal of \(A\).
reviewed by: Matej Brešar
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 2138446
zbMATH Keywords: generalized skew derivations
zbMATH Keywords: prime rings
zbMATH Keywords: idempotents
zbMATH Keywords: zero products
zbMATH Keywords: additive maps
zbMATH Keywords: automorphisms
MaRDI profile type: Publication
full work available at URL: pjm.2004.216.293
OpenAlex ID: W2152205903
DOI: 10.2140/PJM.2004.216.293
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description: scientific article; zbMATH DE number 2138446