Let $ R $ be a commutative ring with identity and let $ M $ be an R-module. This study
presents the nearly locally hollow module that's a strong form of a hollow module. We …

To consider\(R\) is a commutative ring with unitary,\(X\) be a non--Zero unity left\(R-
module\);\(X\) is known hollow module if each proper sub module of\(X\) is semi small local …

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 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 …

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\(L\) be a left module over a ring\(\text {\S}\) with identity. In this paper, the concept of
primary isolated submodules is introduced. We look for relations between this class of …

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 …

Let $ R $ be a commutative ring with identity, and\(U_ {R}\) be an $ R $-module, with\(E=
End (U_ {R})\). In this work we consider a generalization of class small essential …

Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small,
if whenever N+ L= M with M/L is singular, we have L= M. M is called δ-small monoform if any …

Let be an associative ring with identity and let be a unitary left-module. Let be a non-zero
submodule of. We say that is a semi--hollow module if for every submodule of such that is a …