A module M is called H-supplemented if for every submodule A of M there is a direct
summand A′ of M such that A+ X= M holds if and only if A′+ X= M for each submodule X …

Let R be a ring and M a right R-module. M is called a cofinitely lifting module if for any
cofinite submodule N of M, there exists a direct summand K of M such that K≤ N and N/K≪ …

A module M over a ring R is called hollow-lifting if every submodule N of M with M/N hollow
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …

We introduce the notions of M-pjective modules. We show that relative pjectivity is necessary
and sufficient for a direct sum of two lifting modules to be lifting. We also introduce the new …

Open Access proceedings Journal of Physics: Conference series Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS Generalized Projectivity and *Generalized …

A Note on Cofinitely δ-Lifting (Supplemented) Modules Page 1 International Journal of
Algebra, Vol. 4, 2010, no. 9, 439 - 446 A Note on Cofinitely δ-Lifting (Supplemented) …

This humble project aims mainly to reveal the characteristics of what so-called hollow-lifting
modules. We start with providing some basics concerning modules. Afterwards, in part three …

A module M is called an NCS-module if M is amply supplemented and every non-cosingular
submodule of M is a direct summand of M. Let M= M1⊕ M2 be an amply supplemented …

Abstract GENERALIZED RELATIVE INJECTIVITY WAS RENAMED AS OJECTIVE BY
MOHAMED AND MULLER [4]. THEY ALSO STUDIED THE CONCEPT OF OJECTIVE …