neutrosophic primary submodule, localization and residual quotients

Abstract. let r be a commutative ring with identity, m be a unital r-module and let l be a complete heyting algebra. in this paper, among results on colon structures of l-neutrosophic sub- modules and l-neutrosophic ideals, we introduce and study the notion of primary (and prime) l-neutrosophic submodules and give connections with primary (prime) behavior of its t, i and f compo- nents. then, for a multiplicatively closed subset s of r, we define the notion of localization formation for an l-neutrosophic submod- ule λ of m and study its behavior. some types of l-neutrosophic quotients will also be investigated.