A module M is said to be lifting, if it satisfies the following lifting property: For any submodule
X of M, there exists a direct summand of M which is a co-essential submodule of X in M. This …

Let R be any ring and let M be any right R-module. M is called hollow-weak lifting if every
semisimple submodule N of M such that M/N is hollow has a cossential submodule that is a …

Let R be an arbitrary ring with identity and let M be a left R-module. In this paper, I introduce
a class of modules analogous to that of principally lifting modules. The module M is called …

In this paper, we study a module which is lifting and supplemented relative to a module
class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules …

Let R be a ring with identity and let M be a left R-module. M is called µ-lifting modulei f for
every sub module A of M, There exists a direct summand D of M such that M= D⊕ D', for …

Let $ R $ be any ring and let $ M $ be any right $ R $-module. $ M $ is called hollow-lifting if
every submodule $ N $ of $ M $ such that $ M/N $ is hollow has a coessential submodule …

Let R be a ring. A collection of R-modules containing the zero module and closed under
isomorphisms will be denoted by X. An R-module M is said to be X-lifting if for every X …

المعممة - مقاسات الرفع المجوفه Generalized-hollow lifting modules Page 1 Hasan Iraqi Journal
of Science, 2016, Vol. 57, No.3B, pp:2089-2093 _______________________________ *Email …

A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …

The novel ideas in module M over a ring R are introduced in this study. The first one, a
generalization of the e∗-lifting module, is known as e∗-hollow-lifting. The second idea, an …