On A Class of Idealized Near-Rings Admitting Frobenius Derivations
Ojiema M. Onyango *
Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya.
Onyango B. Achieng
Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya.
Abuga J. Motanya
Department of Mathematics, Kisii University, P.O Box 408-40200, Kisii, Kenya.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we use the idealization procedure for finite rings to construct a class of quasi-3 prime Near-Rings N with a Jordan ideal J(N) and admitting a Frobenius derivation. The structural characterization of N; J(N) and commutation of N via the Frobenius derivations have been explicitly determined.
Keywords: Idealization of modules, near-rings, frobenius derivations.