Let M and X be R-modules. We define the X--supplemented modules via the class  B
(M, X) as a generalization of-supplemented modules. We show that any finite direct sum …

Given a hereditary torsion theory $\tau=(\mathbb {T},\mathbb {F}) $ in Mod-$ R $, a module $
M $ is called $\tau $-supplemented if every submodule $ A $ of $ M $ contains a direct …

A Module M is called cofinite J-Supplemented Module if for every cofinite submodule L of M,
there exists a submodule N of M such that M= L+ N with main properties of cof-J …

Following the concept of generalized small submodule, we define $ g $-supplemented
modules and characterize some fundamental properties of these modules. Moreover, the …

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 …

Abstract Let\(R\) be a ring, let\(M\) be a left\(R\)-module, and let\(U, V, F\) be submodules
of\(M\) with\(F\) proper. We call\(V\) an\(F\)-supplement of\(U\) in\(M\) if\(V\) is minimal in the …

The purpose of this paper is to introduce the concepts of $ e^{*} $-supplement submodules,
weakly $ e^{*} $-supplement submodules, ample $ e^{*} $-supplement submodules, co …

Finitely g-Supplemented Modules Page 1 Conference Proceeding Science and Technology,
3(1), 2020, 82–86 Conference Proceeding of 3rd International E-Conference on Mathematical …

On essential g-supplemented modules Page 35 ON ESSENTIAL g-SUPPLEMENTED
MODULES Celil Nebiyev 1, Hasan Hüseyin Okten 2 Abstract. Let M be an R− module. If …

In this paper we introduce Goldie $^{\ast} $-$\delta $-supplemented modules as follows. A
module $ M $ is called Goldie $^{\ast} $-$\delta $-supplemented (briefly, G $ _ {\delta}^{\ast} …