⊕-supplemented modules as a famous generalization of lifting (projective supplemented)
modules were widely studied in the last decades. In this paper, we peruse a homological …

The class of $ H $-supplemented modules, which is a nice generalization of that of lifting
modules, has been studied extensively in the last decade. As the concept of …

Lifting modules plays important roles in module theory. H-supplemented modules are a nice
generalization of lifting modules which have been studied extensively recently. In this article …

Let 𝑅 be an arbitrary ring with identity and 𝑀 a right 𝑅-module. In this paper, we introduce a
class of modules which is analogous to that of Goldie*-lifting and principally Goldie*-lifting …

Let $ R $ be a ring and $ M $ be a left $ R $-module. $ M $ is called generalized $\oplus $-
supplemented if every submodule of $ M $ has a generalized supplement that is a direct …

Let R be a ring with identity and let M be a left R-module. M is called µ-lifting modulei f for
every sub module A of M, There exists a direct summand D of M such that M= D⊕ D', for …

A module M is said to be H-supplemented if, for any submodule X of M, there exists a direct
summand M′ of M such that M= X+ Y if and only if M= M′+ Y for all Y⊆ M (cf.[SH …

Let R be a ring and M a right R-module. M is called⌖-supplemented if every submodule of M
has a supplement that is a direct summand of M, and M is called completely⌖-supplemented …

Lifting modules as a main concept in module theory have been studied and investigated
extensively in recent decades. The first author in [1] tried to consider and investigate this …

The notion of $\mathcal {K} $-extending modules was defined recently as a proper
generalization of both extending modules and Rickart modules. Let $ M $ be a right $ R …