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 an analogous to δsupplemented modules and principally⊕ …

In this paper, we introduce principally⊕-supplemented modules as a generalization of⊕-
supplemented modules and principally lifting modules. This class of modules is a …

In this work, notion of principally strongly generalized⨁-radical supplemented modules,
briefly, principally sgrs⨁-modules are defined as a generalization of sgrs⨁-modules and …

In this paper, we defined and studied the idea of principally⨁-gsupplemented modules as an
advanced concept of⨁-g-supplemented modules. Many properties, characterizations and …

Let $ M $ be a module over a ring $ R $. We call $ M $, $\delta $-$ H $-supplemented
provided for every submodule $ N $ of $ M $ there is a direct summand $ D $ of $ M $ such …

Let R be a commutative ring with unit and M be a unitary left R-module. The δ-small
intersection graph of non-trivial submodules of, denoted by, is an undirected simple graph …

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 commutative ring with unit and U be a unitary left R-module. The d-small
intersection graph of non-trivial submodules of U, denoted by GdðUÞ, is an undirected …

The purpose of this paper is to further study the concept of a very important module theory
namely principally supplemented modules. Therefore, our work presents some properties of …