Let R be a commutative ring with unity and M be a non zero unitary left R-module. M is
called a hollow module if every proper submodule N of M is small (N≪ M), ie N+ W≠ M for …

Let R be a commutative ring with unity and M be a non zerounitary left R-module. M is called
a hollow module if every proper submodule N of M is small (N≪ M), ie N+ W M for every …

To consider R is a commutative ring with unity, be a nonzero unitary left R-module, is known
hollow module if each proper submodule of is small. L-hollow module is a strong form of …

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 …

In this paper, we introduce hollow modules with respect to an arbitrary submodule. Let M be
a non-zero module and T be a submodule of M. We say that M is aT-hollow module if every …

Let R be a commutative ring with unity and let M be an R-module. In this paper we study
strongly (completely) hollow submodules and quasi-hollow submodules. We investigate the …

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

Semihollow Modules and Semilifting Modules Page 1 Let R be a commutative ring with identity
and M be a left unital Rmodule. M is called a hollow module if every ​proper submodule is …

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 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 …