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Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

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Commutativity of near-rings with (σ;τ)-derivations

Ahmed A. M. Kamal
  • Corresponding author
  • Department of Mathematics, College of Science, King Saud University, P.O. Box 2455 Riyadh 11451, Kingdom of Saudi Arabia. Permanent address: Department of Mathematics, Faculty of Sciences, Cairo University, Giza, Egypt
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/ Khalid H. Al-Shaalan
Published Online: 2013-07-30 | DOI: https://doi.org/10.2478/auom-2013-0007


In this paper we study some conditions under which a near-ring R admitting a (multiplicative) (σ; τ )-derivation d must be a commutative ring with constrained-suitable conditions on d, σ and τ. Consequently, we obtain some results which generalize some recent theorems in the literature.

Keywords : zero divisors; (σ;τ)-derivations; 3-prime near-rings; commutativity

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About the article

Published Online: 2013-07-30

Published in Print: 2013-03-01

Citation Information: Analele Universitatii "Ovidius" Constanta - Seria Matematica, Volume 21, Issue 1, Pages 121–141, ISSN (Online) 1844-0835, DOI: https://doi.org/10.2478/auom-2013-0007.

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