Let\(L\) be a left module over a ring\(\text {\S}\) with identity. In this paper, the concept of
primary isolated submodules is introduced. We look for relations between this class of …

Let be a non-zero right module over a ring with identity. The weakly second submodules is
studied in this paper. A non-zero submodule of is weakly second Submodule when, where …

Let $ R $ be a commutative ring with identity, and\(U_ {R}\) be an $ R $-module, with\(E=
End (U_ {R})\). In this work we consider a generalization of class small essential …

To consider\(R\) is a commutative ring with unitary,\(X\) be a non--Zero unity left\(R-
module\);\(X\) is known hollow module if each proper sub module of\(X\) is semi small local …

Let be a ring with identity and be a submodule of a left-module. A submodule of is called-
small in denoted by, in case for any submodule of, implies. Submodule of is called semi-T …

Let $ R $ be a commutative ring with identity and $ M $ be a unitary $ R $-module. Let $ S
(M) $ be the set of all submodules of $ M $ and $\phi: S (M)\rightarrow S (M)\cup\lbrace …

Let $ R $ be a commutative ring with identity, and let $ W $ be a unitary $ R $-module. In this
paper, we introduced the concept of a weakly semi-primary submodule as a generalization …

A Note on Primary and Weakly Primary Submodules Page 1 EUROPEAN JOURNAL OF PURE
AND APPLIED MATHEMATICS Vol. 9, No. 1, 2016, 48-56 ISSN 1307-5543 –www.ejpam.com A …

Throughout this paper R represents an associative ring with identity and M is unitary right R-
module, the purpose of this paper is to study a new concept, named s-closed submodules. It …

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 …