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 …

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 …

⊕-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 …

Let $ M $ be a right $ R $-module and $ S= End_R (M) $. We call $ M $ a $\mathcal {K} $-
extending module if for every element $\phi\in S $, Ker $\phi $ is essential in a direct …

A module M is called generalized extending if for any submodule N of M, there is a direct
summand K of M such that N≤ K and K/N is singular. Any extending module and any …

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 …

We introduce the notion of I-lifting modules as a proper generalization of the notion of lifting
modules and present some properties of this class of modules. It is shown that if M is an I …

Modules Whose h-Closed Submodules Are Direct Summands Page 1 Southeast Asian Bulletin of
Mathematics c SEAMS. 2020 Southeast Asian Bulletin of Mathematics (2020) 44: 79–86 Modules …

\noindent Acta Math . Univ . Comenianae \ hfill 1 93 \noindent Vol . LXXVI , 2 ( 2007 ) , pp . 1
93 −− 200 \centerline{ON \q Page 1 \noindent Acta Math . Univ . Comenianae \ hfill 1 93 \noindent …

An R-module hf is called extending (or a CS-module) if every submodule of M is essential in
a direct summand of M. The module M is called C-eztendzng (resp., finitely or countably C …