ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS
ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS
Let M be an R-module, where R is a commutative ring with identity 1 and let G(V,E) be a graph. In this paper, we study the graphs associated with modules over commutative rings. We associate three simple graphs <TEX>$ann_f({\Gamma}(M_R))$</TEX>, <TEX>$ann_s({\Gamma}(M_R))$</TEX> and <TEX>$ann_t({\Gamma}(M_R))$</TEX> to M called full annihilating, semi-annihilating and star-annihilating …