In this work, we study C 1-(extending) module M through the sub-module of M which have
two properties namely prime and semi-prime (P.(S. P)). Indeed these properties with another …

An almost prime submodule is a generalization of prime submodule introduced in 2011 by
Khashan. This algebraic structure was brought from an algebraic structure in ring theory …

The goal of this research is to introduce the concepts of Large-small submodule and Large-
hollow module and some properties of them are considered, such that a proper submodule …

In this paper, we will present a new result that clarify the relationship between divisible
module and Injective module. But before starting to give the most important results, we need …

This note investigates modules having quasi-injective and duo submodules. We introduce a
new generalization of-module. The main method that was adopted in this generalization is …

Open Access proceedings Journal of Physics: Conference series Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS Weakly Coretractable Modules To cite this …

Let R and S be arbitrary rings. In the algebraic structure it is known that the R-module
structure is a generalization of a vector space. As in the ring structure, in the R-module some …

An R-module M is Artinian iff every non-empty set of submodules admits a minimal element.
The aim of this paper, is studied three cases. The first case is to provide general properties …

Let Script U be a family of R-modules and V be a submodule of a direct sum of some
elements in Script U The aim of this paper is to generalize basis and free modules. We use …

The notion of X-sub-exact sequence of modules is a generalization of exact sequences. Let
K, L, M be R-modules and X a submodule of L. The triple (K, L, M) is said to be X-sub-exact …