Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
ET-Coessential and ET-Coclosed submodules
View through CrossRef
Let M be an R-module, where R be a commutative;ring with identity. In this paper, we defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of M. Let T be a submodule of M. Let K H M, K is called ET-Coessential of H in M (K⊆ET.ce H), if . A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by (K⊆ET.cc H) , that is, K⊆ET.ce H implies that K = H. In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M.
University of Baghdad College of Science
Title: ET-Coessential and ET-Coclosed submodules
Description:
Let M be an R-module, where R be a commutative;ring with identity.
In this paper, we defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of M.
Let T be a submodule of M.
Let K H M, K is called ET-Coessential of H in M (K⊆ET.
ce H), if .
A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by (K⊆ET.
cc H) , that is, K⊆ET.
ce H implies that K = H.
In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M.
Related Results
Closed-coessential and Closed-coclosed Submodules
Closed-coessential and Closed-coclosed Submodules
The aim of this study is to present the concept of closed-coessential submodule and closed-coclosed submodule, the consideration of certain properties. Allow R be a ring with ident...
(m, n)-Closed Submodules of Modules over Commutative Rings
(m, n)-Closed Submodules of Modules over Commutative Rings
Let R be a commutative ring and m, n be positive integers. We define a proper submodule N of an R-module M to be (m,n)-closed if for r∈R and b∈M, r^{m}b∈...
2-Visible Submodules and Fully 2-Visible Modules
2-Visible Submodules and Fully 2-Visible Modules
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this
paper we introduce the concepts of 2-visible submodules and fully 2-visible mo...
2-Visible Submodules and Fully 2-Visible Modules
2-Visible Submodules and Fully 2-Visible Modules
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In thispaper we introduce the concepts of 2-visible submodules and fully 2-visible mod...
Soc-T-ABSO submodules and related concepts
Soc-T-ABSO submodules and related concepts
In this paper, we present the idea of Soc-T-ABSO submodule observations and examine how-T-ABSO submodule and Socle relate to one another in terms of qualities and characteristics. ...
Weakly sdf-Absorbing Submodules Over Commutative Rings
Weakly sdf-Absorbing Submodules Over Commutative Rings
Let $R$ be a commutative ring with identity and $M$ a unital $R$-module. A proper submodule $N$ of $M$ is called a weakly square-difference factor absorbing submodule (briefly, wea...
Approximaitly Quasi-primary Submodules
Approximaitly Quasi-primary Submodules
In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module over a commutative ring with identity. This concept i...
Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
Let be a commutative ring with identity. The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule a...