On Hollow – J–Lifting Modules

Abstract

In this paper, we introduce and study the concepts of hollow – J–lifting modulesand FI – hollow – J–lifting modules as a proper generalization of both hollow–liftingand J–lifting modules . We call an R–module M as hollow – J – lifting if for everysubmodule N of M withis hollow, there exists a submodule K of M such thatM = K Ḱ and K N in M . Several characterizations and properties of hollow–J–lifting modules are obtained . Modules related to hollow – J–lifting modules aregiven .