On Quasi-Small Prime Modules
(1)
(1)
Publication Date
Sun Dec 05 2010
Journal Name
Baghdad Science Journal
ON M- Hollow modules
"Maximal Submodule
Small Submodule
Hallow Module
Projective Module and Lifting Module"
Let R be associative ring with identity and M is a non- zero unitary left module over R. M is called M- hollow if every maximal submodule of M is small submodule of M. In this paper we study the properties of this kind of modules.
Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
On Primary Multipliction Modules
Multiplication module
Weak multiplication
Primary submodule
Primary multiplication module.
Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a primary multiplication module if every primary submodule of M is a multiplication submodule of M. Some of the properties of this concept will be investigated. The main results of this paper are, for modules M and N, we have M N and HomR (M, N) are primary multiplications R-modules under certain assumptions.
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
On J–Lifting Modules
Abstract<p>Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if for every submodule N of M, there exists a submodule K of N such that <inline-formula>
<tex-math><?CDATA ${\rm{M}} = {\rm{K}} \oplus \mathop {\rm{K}}\limits^\prime,\>\mathop {\rm{K}}\limits^\prime \subseteq {\rm{M}}$?></tex-math>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll">
<mrow>
<mi mathvariant="normal">M</mi>
<mo>=</mo>
<mi mathvariant="normal">K</mi></mrow></math></inline-formula></p>
... Show More
(5)
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
On Small Semiprime Submodules
Abstract<p>Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules. We investigate some basis properties of small semiprime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.</p>
(6)
(2)
Publication Date
Tue Nov 19 2024
Journal Name
Baghdad Science Journal
On En- Prime Compactly Packed Acts over Monoid
في هذا العمل تم دراسة المقاسات الاولية من النمطEn المرصوصة المكتضة ودراسة تعيم هذا المفهوم الى مفهوم الآثار الاولية من النمط En المرصوصة المكتضة حيث تم دراسة بعض العلاقات والتشخيصات الخاصة بهذه المفاهيم حيت تم برهنت العلاقات الخاصة بمفهوم المقاسات الاولية من النمط En المرصوصة المكتضة ليكن ₩ مقاس و كل مقاس جزئي هو اولي من النمط En فان المقاس ₩ هو مقاس اولي من النمط En مرصوص مكتض اذا و فقظ اذا كل مقاس جزئي د
... Show More
(1)
(1)
Publication Date
Sun Dec 01 2019
Journal Name
Baghdad Science Journal
Principally Quasi-Injective Semimodules
Principally quasi-injective semimodules
(injective
quasi-injective) semimodules
semimodules
In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules.
Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally quasi-injective, if every -homomorphism from any cyclic subsemimodule of to can be extended to an endomorphism of .
(6)
(2)
Publication Date
Thu Nov 17 2022
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
(2)
Publication Date
Sat Mar 06 2010
Journal Name
J. Of University Of Anbar For Pure Science
Some Results on Epiform Modules
monoform modules
rational submodules
essential submodules polyform modules
copolyform modules
hollow modules.
The concept of epiform modules is a dual of the notion of monoform modules. In this work we give some properties of this class of modules. Also, we give conditions under which every hollow (copolyform) module is epiform.
Publication Date
Sun Mar 04 2018
Journal Name
Baghdad Science Journal
On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules
fully stable Banach A-modules
the algebra of endomorphism of a fully stable Banach A-module
fully pseudo stable Banach A-module.
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.
(1)
Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Some Results of (α, β) Derivations on Prime Semirings
This paper investigates the concept (α, β) derivation on semiring and extend a few results of this map on prime semiring. We establish the commutativity of prime semiring and investigate when (α, β) derivation becomes zero.
(11)
(2)