Prime Gamma-Near-Rings with sigma-Derivations

Authors

  • K. K Dey University of Rajshahi
  • A. C. Paul University of Rajshahi

DOI:

https://doi.org/10.3329/jsr.v6i3.17158

Keywords:

Gamma-near-ring, Prime Gamma-near-ring, Derivation, ?-derivation, Automorphism

Abstract

Let N be a prime G-near-ring and s be an automorphism on N. In this paper, we prove that if d is a s-derivation of N such that sd = ds with d2 = 0, then d = 0. The composition of two derivations s and ? are considered and investigated the conditions that the derivation is a ??-derivation.

© 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi: http://dx.doi.org/10.3329/jsr.v6i3.17158 J. Sci. Res. 6 (3), 467-473 (2014)

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Author Biographies

K. K Dey, University of Rajshahi

Department of Mathematics

A. C. Paul, University of Rajshahi

Professor, Department of Mathematics,

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Published

2014-08-24

How to Cite

Dey, K. K., & Paul, A. C. (2014). Prime Gamma-Near-Rings with sigma-Derivations. Journal of Scientific Research, 6(3), 467–473. https://doi.org/10.3329/jsr.v6i3.17158

Issue

Vol. 6 No. 3 (2014)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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