In this work, FZ-hollow and Z-semihollow modules are defined as a generalization of F-
hollow and semihollow modules, and some properties of these concepts of modules are …

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 …

In this paper, we introduce the notion of t-epi-modules. An R-module M is called t-epi if every
t-closed submodule of M is a homomorphic image of M. Various properties of these modules …

T المقاسات الرفع المجوفة من النمط Page 1 Yaseen and Elewi Iraqi Journal of Science, 2019, Vol.60,
No.11, pp: 2486-2489 DOI: 10.24996/ijs.2019.60.11.20 …

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 …

A submodule Ϝ of an R-module Ε is called small in Ε if whenever, for some submodule W of
Ε, implies. In this paper, we introduce the notion of Ζ-small submodule, where a proper …

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 …

The purpose of this paper is to introduce new concepts in a module  over a ring, the first
one is called e*-small essential submodule, which is a generalization of the small …

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 …

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 ≠ª M), ie N+ W ≠M …