IJPAM: Volume 82, No. 5 (2013)
Department of Mathematics, FS
Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
Department of Mathematics
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.
Received: May 24, 2012
AMS Subject Classification: 16Y30, 19W25, 16U80
Key Words and Phrases: ring, prime ring, derivation
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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