# IJPAM: Volume 82, No. 5 (2013)

PRIME GAMMA-NEAR-RINGS WITH -DERIVATIONS

Isamiddin S. Rakhimov, Kalyan Kumar Dey, Akhil Chandra Paul
Department of Mathematics, FS
and
Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
MALAYSIA
Department of Mathematics
Rajshahi University

Abstract. Let be a 2 torsion free prime -near-ring with center and let be a nontrivial derivation on such that . Then we prove that is commutative. Also we prove that if be a nonzero (,-derivation on such that commutes with an element of then ether is trivial or is in . Finally if be a nonzero (,-derivation and be a nonzero derivation on such that , , , with then is a commutative -ring.

AMS Subject Classification: 16Y30, 19W25, 16U80

Key Words and Phrases: ring, prime ring, derivation

DOI: 10.12732/ijpam.v82i5.1 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 5