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 …

Throughout this paper R represents commutative ring with identity and M is a unitary left R-
module, the purpose of this paper is to study a new concept,(up to our knowledge), named …

The purpose of this paper is to introduce new concepts in a module over a ring, the first one
is called e*-small essential submodule, which is a generalization of the small submodule …

Throughout this paper R represents commutative ring with identity, and M is a unitary left R-
module. The purpose of this paper is to study a new concept,(up to our knowledge), named …

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 …

Let be a unitary left R-module on associative ring with identity. A submodule of is called-
annihilator small if, where is a submodule of, implies that ann ()= 0, where ann () indicates …

Let R be a commutative ring with identity and let M be a unital left R-module. Goodearl
introduced the following concept: A submodule A of an R–module M is an y–closed …

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 ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

On 𝚭-Coessential Submodules and 𝚭-Coclosed Submodules Page 1 On 𝚭-Coessential
Submodules and 𝚭-Coclosed Submodules Amina T. Hamad1,a) and Alaa A. Elewi1,b) …