When Finitely Generated δ-Supplemented Modules Are Supplemented

We investigate the structure of rings over which every finitely generated δ-supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊕-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊕-δ-supplemented R-modules are ⊕-supplemented.