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On skew-commuting mappings in semiprime rings

  • Maja Fošner EMAIL logo , Benjamin Marcen and Nadeem ur Rehman
Published/Copyright: November 3, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 4

Abstract

In this paper we prove the following result. Let R be a n!-torsion free semiprime ring and let f :R → R be an additive mapping satisfying the relation f(x)xn + xnf(x) = 0 for all x ∈ R. In this case f = 0.

MSC 2010: Primary 16N60; 16R50
Keywords: prime ring; semiprime ring; additive mapping; derivation; commuting mapping; centralizing mapping; skew-commuting mapping; functional identities

(Communicated by Miroslav Ploščica)

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Received: 2013-9-3
Accepted: 2014-4-10
Published Online: 2016-11-3
Published in Print: 2016-8-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0183
Keywords for this article
prime ring; semiprime ring; additive mapping; derivation; commuting mapping; centralizing mapping; skew-commuting mapping; functional identities

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  9. Research Article
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  11. Research Article
  12. On skew-commuting mappings in semiprime rings
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