On skew derivations in semiprime rings

Cheng Kai Liu

doi:10.1007/s10468-012-9370-2

On skew derivations in semiprime rings

Cheng Kai Liu

Department of Mathematics

Research output: Contribution to journal › Article

12 Citations (Scopus)

Abstract

We investigate the commutativity in a (semi-)prime ring R which admits skew derivations δ1, δ2 satisfying [δ1(x), δ2(y)] = [x, y] for all x, y in a nonzero right ideal of R. This result is a natural generalization of Bell and Daif's theorem on strong commutativity preserving derivations and a recent result by Ali and Huang.

Original language	English
Pages (from-to)	1561-1576
Number of pages	16
Journal	Algebras and Representation Theory
Volume	16
Issue number	6
DOIs	https://doi.org/10.1007/s10468-012-9370-2
Publication status	Published - 2013 Dec 1

All Science Journal Classification (ASJC) codes

Mathematics(all)

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AB - We investigate the commutativity in a (semi-)prime ring R which admits skew derivations δ1, δ2 satisfying [δ1(x), δ2(y)] = [x, y] for all x, y in a nonzero right ideal of R. This result is a natural generalization of Bell and Daif's theorem on strong commutativity preserving derivations and a recent result by Ali and Huang.

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