The aim of the present article is to investigate the structure of rings R satisfying the condition:
for any family {S i| i∈ ℕ} of simple right R-modules, every essential extension of⊕ i∈ ℕ E (S …

© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate
the structure of rings (Formula presented.) satisfying the condition: for any family (Formula …

A module M over a ring R is called a lifting module if every submodule A of M contains a
direct summand K of M such that A/K is a small submodule of M/K (eg, local modules are …

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 …

For a ring R, there are classical facts that R is right Noetherian if and only if every direct sum
of injective right R-modules is injective, and R is right Noetherian if and only if every …

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 there be a left-unitary Module over ring R which has identity called K. In this paper, we
presented an introduction to the idea of T-hollow-lifting Module. An R-Module K is T-hollow …

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

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 …

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 …