, E (M))= 0, where E (M) is the injective hull of M. Rational submodules have been studied
and discussed by many authors such as HH Storrer, H. Khabazian, E. Ghashghaei, A …

The main goal of this paper is to introduce a new class in the category of modules. It is called
quasi-invertibility monoform (briefly QI-monoform) modules. This class of modules is a …

The notion of rationally-extending module and supplement submodule are known. In our
work, we introduce a supplement rationally-extending module," which is a proper …

In this paper, we investigate polyform modules and introduce the notion of relatively
polyform modules over a ring R. Some new characterizations and properties of polyform …

The main objective of this work is to present and study a new generalization of the concept
of rationally extending module. A module M is called weakly supplement rationally …

An R-module M is called a polyform module if every essential submodule of M is rational.
The main objective of this paper is to introduce a new concept of modules named fully …

Let $ R $ be a commutative ring with identity and $ M $ be a unitary $ R $-module. First, we
study multiplication $ R $-modules $ M $ where $ R $ is a one dimensional Noetherian ring …