Domination in the entire nilpotent element graph of a module over a commutative ring

Let R be a commutative ring with unity and M unitary module. Nil(M) the set of all nilpotent elements M. The entire element graph over is an undirected E(G(M)) vertex as any two distinct vertices x y are adjacent if only + ∈ Nil(M). In this paper we attempt to study domination in investigate number well bondage its induced subgraphs N(G(M)) Non(G(M)). Some parameters also studied. It has been showed that excellent, domatically full covered under certain conditions.