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aequationes mathematicae

, Volume 69, Issue 3, pp 224–230 | Cite as

On a pair of (α, β)-derivations of semiprime rings

  • Muhammad Anwar Chaudhry
  • Allah-Bakhsh Thaheem
Research paper

Summary.

Among other results we show that if α, β are centralizing epimorphisms and f, g are (α, β)-derivations of a 2-torsion free semiprime ring R such that f(x)x + xg(x) = 0 for all x ∈ R, then f(u)[x, y] = g(u)[x, y] = 0 for all x, y, u ∈ R; in particular, f and g map R into its center.

Mathematics Subject Classification (2000).

Primary 16A12 16A70 16A72 Secondary 46L10 

Keywords.

Epimorphism commuting map centralizing map α-derivation (α, β)-derivation prime ring semiprime ring 

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  • Muhammad Anwar Chaudhry
    • 1
  • Allah-Bakhsh Thaheem
    • 1
  1. 1.Department of Mathematical SciencesKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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