Preferred Language
Articles
/
4xeefY8BVTCNdQwCd3lM
Pr-small R-submodules of modules and Pr-radicals
...Show More Authors

The goal of this discussion is to study the twigged of pure-small (pr-small) sub- moduleof a module W as recirculation of a small sub-module, and we give some basic idiosyncrasy and instances of this kind of sub-module. Also, we give the acquaint of pure radical of a module W (pr-radical) with peculiarities.

Scopus Clarivate Crossref
Publication Date
Fri May 01 2015
Journal Name
Journal Of Physics: Conference Series
Spectrum of Secondary Submodules
...Show More Authors

Scopus (2)
Scopus
Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Large-Coessential and Large-Coclosed Submodules
...Show More Authors

The goal of this research is to introduce the concepts of Large-coessential submodule and Large-coclosed submodule, for which some properties are also considered. Let M  be an R-module and K, N are submodules of M such that , then K is said to be Large-coessential submodule, if . A submodule N of M is called Large-coclosed submodule, if K is Large-coessential submodule of N in M, for some submodule K of N, implies that  .

Scopus (4)
Crossref (1)
Scopus Crossref
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Annihilator Essential Submodules
...Show More Authors
Abstract<p>Through this paper R represent a commutative ring with identity and all R-modules are unitary left R-modules. In this work we consider a generalization of the class of essential submodules namely annihilator essential submodules. We study the relation between the submodule and his annihilator and we give some basic properties. Also we introduce the concept of annihilator uniform modules and annihilator maximal submodules.</p>
View Publication
Scopus (3)
Scopus Crossref
Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
DJ-coessential submodules
...Show More Authors

Let R be an individual left R-module of the same type as W, with W being a ring containing one. W’s submodules N and K should be referred to as N and K, respectively that K ⊆ N ⊆ W if N/K <<_J (D_j (W)+K)/K, Then K is known as the D J-coessential submodule of Nin W as K⊆_ (Rce) N. Coessential submodule is a generalization of this idea. These submodules have certain interesting qualities, such that if a certain condition is met, the homomorphic image of D J- N has a coessential submodule called D J-coessential submodule.

View Publication
Scopus Clarivate Crossref
Publication Date
Fri Jan 01 2016
Journal Name
Basrah Journal Of Science
Nearly Maximal Submodules
...Show More Authors

Preview PDF
Publication Date
Sun Mar 01 2015
Journal Name
Baghdad Science Journal
S-maximal Submodules
...Show More Authors

Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ? W ? M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of ri

... Show More
View Publication Preview PDF
Crossref (2)
Crossref
Publication Date
Sun Mar 01 2015
Journal Name
Baghdad Science Journal
S-maximal Submodules
...Show More Authors

Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ⊊ W ⊆ M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of rings

... Show More
View Publication Preview PDF
Crossref
Publication Date
Sun Mar 01 2009
Journal Name
Baghdad Science Journal
Weak Essential Submodules
...Show More Authors

A non-zero submodule N of M is called essential if N L for each non-zero submodule L of M. And a non-zero submodule K of M is called semi-essential if K P for each non-zero prime submodule P of M. In this paper we investigate a class of submodules that lies between essential submodules and semi-essential submodules, we call these class of submodules weak essential submodules.

View Publication Preview PDF
Crossref (1)
Crossref
Publication Date
Sun Mar 04 2018
Journal Name
Baghdad Science Journal
On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules
...Show More Authors

The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced. In this paper we study some properties of fully stable Banach A-module and another characterization of fully pseudo stable Banach A-module has been given.

View Publication Preview PDF
Scopus (1)
Scopus Clarivate Crossref
Publication Date
Mon Jan 01 2024
Journal Name
Fifth International Conference On Applied Sciences: Icas2023
Ejectivity and goldie-extending modules
...Show More Authors

View Publication
Scopus Crossref