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

N V Nagendram*

Abstract


Let N be a right Artinian Regular Delta Near ring with identity and Mn(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 Mn(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 Mn (N).


Keywords


Near Ring, Regular Near-Ring, Regular Delta Near ring, Module, Semi Module, Primitive Module, Prime Module, Artinian regular delta near ring.

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