Abstract

Supplemented modules and ⊕-supplemented modules are useful in characterizing semiperfect modules and rings. Recently, the notion of cofinitely supplemented modules and δ-supplemented modules were introduced as generalizations of supplemented modules. In this paper, ⊕ − cofδsupplemented and cofinitely δ-semiperfect modules are defined as generalizations of ⊕-cofinitely supplemented modules and cofinitely semiperfect modules. Several properties of these modules are obtained.