Module Decompositions Using Pairwise Comaximal Ideals
Module Decompositions Using Pairwise Comaximal Ideals
In this article, we show that for a given set of pairwise comaximal ideals {Xi}i∈I in a ring R with unity and any right R-module M with generating set Y and , M = ⊕i∈IC(Xi) if and only if for every y ∈ Y there exists a nonempty finite subset …