• On Semi – modules of Artinian Regular Delta Near rings (SM-AR- δ-NR)

Abstract

Let N be a right Artinian Regular Delta Near ring with identity and M_n(N) be the Regular Delta Near Ring of n X n matrices over N is the sense of Meldrum and Vander walt. The purpose of this paper is to define the notions of semi modules and equi prime semi modules in Artinian Regular Delta Near Rings. We show that (1) – there is a one to one correspondence between the set of semi modules of N and the set of full semi modules of Matrix Artinian Regular Delta Near Ring M_n(N).  (2) – There is a one to one correspondence between the set of Equiprime semi modules of N and the set of Equiprime semi modules of Matrix Artinian Regular Delta Near Ring M_n (N).