Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is
called generalized coessential submodule of N in M, if (N)/K⊆[Rad] _g (M/K). A module M is …

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 a commutative ring with identity, and W be a unitary left R-module. In this paper we,
introduce and study a new class of modules called pure hollow (Prhollow) and pure-lifting …

Let S be a unitary left module over a ring ℝ with 1. In this paper, we introduced the concept
of T-semihollow-lifting module as follows, an T-module F is T-semihollow-lifting if for each …

Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if
for every submodule N of M, there exists a submodule K of N such that ${\rm {M}}={\rm …

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 and℘ be a proper class. In this paper we introduced a new class of R-
modules called℘-supplement submodules and studied its properties, we proved that all …

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 …

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; M be a unitary; left R-module on; associative ring with; identity; R. A submodule; K of M
is called; R-ann-small; if K+ T= M, where T is a submodule of M, implies that ann (T)= 0 …