On skew derivations in semiprime rings

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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 languageEnglish
Pages (from-to)1561-1576
Number of pages16
JournalAlgebras and Representation Theory
Volume16
Issue number6
DOIs
Publication statusPublished - 2013 Dec 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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