On Derivations In Prime Gamma-Near-Rings

  • Kalyan Kumar Dey Department of Mathematics University of Rajshahi, Rajshahi-6205
  • Akhil Chandra Paul Department of Mathematics University of Rajshahi, Rajshahi-6205
Keywords: Prime G-near-rings, semiprime G-near-rings, N-subsets, derivations. 2010 Mathematics Subject Classification. 16Y30

Abstract

Let N be a non zero-symmetric left ?-near-ring. If N is a prime ?-near-ring with  nonzero derivations D1 and D2 such that D1(x)?D2(y) = D2(x)?D1(y) for every x, y?N and ???, then we prove that N is an abelian ?-near-ring. Again if N is a 2-torsion  free prime ?-near-ring and D1 and D2 are derivations satisfying D1(x)?D2(y) =  D2(x)?D1(y) for every x, y?N and ???, then we prove that D1D2 is a derivation on N if and only if D1 = 0 or D2 = 0.

DOI: http://dx.doi.org/10.3329/ganit.v32i0.13642

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 32 (2012) 23-28

 

 

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Abstract
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Published
2013-02-04
How to Cite
Dey, K., & Paul, A. (2013). On Derivations In Prime Gamma-Near-Rings. GANIT: Journal of Bangladesh Mathematical Society, 32, 23-28. https://doi.org/10.3329/ganit.v32i0.13642
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