In this paper we have introduced the notion of weak reduced module and weak rigid module
as the generalizations of reduced module by working on the context of nilpotent elements of …

The aim of this study is to present the concept of closed-small submodule and closed-hollow
module as generalization of small and hollow concepts respectively. As evidence, attributes …

The aim of this study is to present the concept of closed-small submodule and closed-hollow
module as generalization of small and hollow concepts respectively. As evidence, attributes …

In this paper, we introduce the notion of the generalized nilpotent element of a module. In [4],
the notion of nilpotent element of a module is introduced in the following sense: a non-zero …

In this paper, we introduce and study the concepts of hollow –J–lifting modules and FI
–hollow –J–lifting modules as a proper generalization of both hollow–lifting and …

The main goal of this paper is to give a new generalizations for two important classes in the
category of modules, namely the class of small submodules and the class of hollow …

A new generalizations of retractable modules relative to a submodule are introduced where
a module Script M is called retractable module relative to a submodule N of M if for all non …

Apstract. Let be a ring with identity and let be a left R-module. is called J-semiregular
module if every cyclic submodule of is J-lying over a projective summand of, The aim of this …

Direct Sum and Projectivity of SemiHollow-Lifting Modules Page 1 IOP Conference Series:
Materials Science and Engineering PAPER • OPEN ACCESS Direct Sum and Projectivity of …

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 …