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 …

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 …

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 …

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 …

Hollow module, which is an important concept is studied in this article. The main property
about this module is a cyclic module with radical it means M is hollow module. On the other …

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 …

Let M be a R-module, where R be a commutative ring with identity, In this paper, we defined
a new kind of module namely ET-hollow lifting module, Let T be a submodule of M, M is …

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 …

In previous research, a concept was presented f–small submodules A submodule L of an R-
module W is named f–small if L+ X= W and W/X are small-singular, then X= W. In this work …