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...
WE-primary submodules and WE-quasi-prime submodules
WE-primary submodules and WE-quasi-prime submodules
In this paper we introduced and study two concepts one of is a subclass of a class of weakly primary submodules called WE-primary submodules and the other of a subclass of weakly ...
On Nearly Prime Submodules of Unitary Modules
On Nearly Prime Submodules of Unitary Modules
The aim of this paper is to introduce the notion of nearly prime submodules as a generalization of prime submodules. We investigate some of their basic properties and point out the...
Approximaitly Semi-Prime Submodules and Some Related Concepts
Approximaitly Semi-Prime Submodules and Some Related Concepts
We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module over a commutative ring with identity as a generalization of a prime sub...
Coclosed Rickart Modules
Coclosed Rickart Modules
Let be a right module over an arbitrary ring with identity and . In this work, the coclosed rickart modules as a generalization of rickart modules is given. We say a modul...
WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules
WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules
In this research, we introduced and studied, the concepts of WES-2-absorbing submodules and WEQ-2-absorbing submodules as a stronger form of the concepts of weakly semi-2-absorbing...
$S$-$M$-cyclic submodules and some applications
$S$-$M$-cyclic submodules and some applications
In this paper, we introduce the notion of $S$-$M$-cyclic submodules, which is a generalization of the notion of $M$-cyclic submodules. Let $M, N$ be right $R$-modules and $S$ be a...
(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∈...