Strong commutativity preserving generalized derivations on right ideals

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Abstract

We characterize a prime ring R which admits a generalized derivation g and a map f : ρ → R such that [ f (x), g(y)] = [x, y] for all x, y ∈ ρ, where ρ is a nonzero right ideal of R. With this, several known results can be either deduced or generalized.

Original languageEnglish
Pages (from-to)453-465
Number of pages13
JournalMonatshefte fur Mathematik
Volume166
Issue number3-4
DOIs
Publication statusPublished - 2012 Jun 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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