A Ring Associated with a Near-Ring

Abstract

LetNbe a right near-ring with identity such that (N, +) is abelian. BecauseNenjoys the right distributive property, every right multiplication map onNis an endomorphism of (N, +). The set of all right multiplication maps onNgenerates a ring R, a subring of the ring End(N). The structure of R is investigated whenNis a finite simple near-ring and whenNis a finite centralizer near-ring.