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ijs-5941
Strongly Coretractable Modules

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 are investigated and some relationships between these modules and
other related concepts are introduced. 

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Publication Date
Fri Jan 26 2024
Journal Name
Iraqi Journal Of Science
Comparison between Cefoxitin disk diffusion, Crome agar and EPI-M Screening Kit for Detection of Methicillin- Resistant Staphylococcus aureus

Specimens have been collected from one hundred and seventeen patients residing in local hospitals, 33 with burns and 84 wound injuries,. Three different methods ,Cefoxitin disk diffusion, EPI-M Screening Kit and Crome agar (MeReSa agar)with selective supplement were used to detect methicillin-resistant Staphylococcus aureus (MRSA) . A comparison was made between these 3 methods according to the results. It was found that the results of the Cefoxitin disk diffusion test were compatible with the results of culturing on Crome agar, while those obtained from the EPI-M Screening kit were not accurate and some of them gave false negative results.

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Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
Dedekind Multiplication Semimodules

The aim of this paper is to introduce the concept of Dedekind semimodules and study the related concepts, such as the class of  semimodules, and Dedekind multiplication semimodules .  And thus study the concept of the embedding of a semimodule in another semimodule. 

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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Some Generalizations of Semisimple Gamma Rings

In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple ring. An module is called fully idempotent (semisimple , regular) if for all submodule of (every submodule is a direct summand, for each , there exists and such that . We study some properties and relationships between them.

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Publication Date
Thu May 11 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On Weakly Quasi-Prime Module

  In this work we shall introduce the concept of weakly quasi-prime modules and give some properties of this type of modules.

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Publication Date
Thu Dec 02 2021
Journal Name
Iraqi Journal Of Science
Equality of Dedekind sums modulo 72Z

According to the wide appearance of Dedekind sums in different applications on different subjects, a new approach for the equivalence of the essential and sufficient condition for ( ) ( ) in and ( ) ( ) in where ( ) Σ(( ))(( )) and the equality of .two .Dedekind sums with their connections is given. The conditions for ( ) ( ) in which is equivalent to ( )– ( ) in were demonstrated with condition that of does not divide . Some applications for the important of Dedekind sums were given.

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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fuzzy Semimaximal Submodules

     Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if

 the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are  introduced and given some  properties .

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Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Coprime Submodules

  Let R be a commutative ring with unity and let M be a unitary R-module. Let N be a proper submodule of M, N is called a coprime submodule if   is a coprime R-module, where   is a coprime R-module if for any r  R, either O      r or     r .         In this paper we study coprime submodules and give many properties related with this concept.

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Publication Date
Wed Feb 08 2023
Journal Name
Iraqi Journal Of Science
Nearly Semiprime Submodules

Let be a commutative ring with unity and let be a submodule of anon zero left R-module , is called semiprime if whenever , implies . In this paper we say that is nearly semiprime, if whenever , implies ( ),(in short ),where ( )is the Jacobson radical of . We give many results of this type of submodules.

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Publication Date
Tue May 30 2023
Journal Name
Iraqi Journal Of Science
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Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
On Dense Subsemimodules and Prime Semimodules

In this paper, we study the class of prime semimodules and the related concepts, such as the class of  semimodules, the class of Dedekind semidomains, the class of prime semimodules which is invariant subsemimodules of its injective hull, and the compressible semimodules. In order to make the work as complete as possible, we stated, and sometimes proved, some known results related to the above concepts.

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