Let M and X be right R-modules. We introduce several modules relative to the class of B (M,
X) and we investigate relation among these modules. In this note, we show if M is X …

Let M be a right R-module. M is called XH-supplemented if for every submodule A of M with
A∈ B (M, X) there exists a direct summand D of M such that M= A+ Y if and only if M= D+ Y …

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 of X-+ …

In this article, we define a (an amply) F δ-supplemented module in category of R-Mod. The
general properties of F δ-supplemented modules are briey discussed. Then, concentrating …

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 …

In this paper, B (M, X)-cc-projective modules are defined as generalization of M-cc-projective
modules. Let M be an X-amply supplemented module such that B (M, X) is closed under …

Principally δM−Lifting Modules 1 Introduction Page 1 International Journal of Algebra, Vol. 6,
2012, no. 22, 1057 - 1067 Principally δM−Lifting Modules Ali Omer Alattass Department of …

Let V be a submodule of a direct sum of some elements in U, and X be a submodule of a
direct sum of some elements in N, where U and N are families of R-modules. A U-free …

Xue introduced the following concept: Let M be an R-module. M is called a generalized
supplemented module if for every submodule N of M, there exists a submodule K of M such …

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 …