On A Class of Idealized Near-Rings Admitting Frobenius Derivations

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.