In this paper, we define a new notion namely compressible relative to a submodule also, a
new generalizations of compressible modules relative to a submodule are introduced where …

Let R be a ring with identity and Ą a left R-module. In this article, we introduce new
generalizations of compressible and prime modules, namely s-compressible module and s …

Let R be a commutative ring with identity, and M be a unital (left) R-module. In this paper we
introduce and study the concepts: small prime submodules and small prime modules as …

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 …

An R-module M is called rationally extending if each submodule of M is rational in a direct
summand of M. In this paper we study this class of modules which is contained in the class …

Let R be associative ring with identity and let M be unitary left R-module. A submodule N of
M is called, T-small in M denoted by N≪ TM, in case for any submodule X⊆ M, T⊆ N+ X …

In this work, some properties of amply weak essential supplemented modules are
investigated. Let M be a projective and weakly essential supplemented module. Then every …

n−Primary Submodules Page 1 Ali hadi Iraqi Journal of Science. Vol 54.No 3.2013.pp 836-841
836 Coregular Modules Inaam Mohammed Ali Hadi Department of Mathematics, College of …

Let α be an endomorphism of an arbitrary ring R with identity. The aim of this paper is to
introduce the notion of an α-rigid module which is an extension of the rigid property in rings …

Modules with ⊛(⊛’or ⊛’’) Condition Inaam Mohammed Ali Hadi, Ghaleb Ahmed Humod Page 1
Modules with ⊛(⊛’or ⊛’’) Condition Inaam Mohammed Ali Hadi, Ghaleb Ahmed Humod …