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(𝝁∗- Essential Lifting Modules)

Publication Date
Tue Sep 19 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Activity of Myrrh (Commiphora nlolmol) Essential Oil on Growth of Candida Albicans

The study was conducted to e'aluate the effect of Myrrh essential oil on growth of three isolates of Candida albicans. Results
.showed inhlbitory effect of Myrrh essential o.il on growth of the teste<:!
isolates. MTC tor vaginal and nail .isolates· was 5% where is for the standard isolate it w I 0%. AdditionaUy, Es ential oil affect morphology types of Candida albiccms cells, .resuJting double increase in pseu.dohyphae percentage and double decrease in budding cell percentage .compared to the control types which may indicate JYossible
e£fect on division and reproduction.
Activity of essential oil of Myrrh using gaseous contact
method showed .inhibitory effect of the ojl for the hree isolates. with
MIC more than

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Publication Date
Wed Aug 30 2023
Journal Name
Iraqi Journal Of Science
S-Essentially Compressible Modulesand S-Essentially Retractable Modules

     Let R be a commutative ring with 1 and M be a left unitary R-module. In this paper, we give a generalization for the notions of compressible (retractable) Modules. We study s-essentially compressible (s-essentially retractable). We give some of their advantages, properties, characterizations and examples. We also study the relation between s-essentially compressible   (s-essentially retractable modules) and some classes of modules.

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Orthogonal Derivations and Orthogonal Generalized Derivations on - Modules

Let M be ,-ring and X be ,M-module, Bresar and Vukman studied orthogonal
derivations on semiprime rings. Ashraf and Jamal defined the orthogonal derivations
on -rings M. This research defines and studies the concepts of orthogonal
derivation and orthogonal generalized derivations on ,M -Module X and introduces
the relation between the products of generalized derivations and orthogonality on
,M -module.

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Publication Date
Thu Dec 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Modules with Chain Conditions on S-Closed Submodules

  Let L be a commutative ring with identity and let W be a unitary left L- module. A submodule D of an L- module W is called  s- closed submodule denoted by  D ≤sc W, if D has   no  proper s- essential extension in W, that is , whenever D ≤ W such that D ≤se H≤ W, then D = H. In  this  paper,  we study  modules which satisfies  the ascending chain  conditions (ACC) and descending chain conditions (DCC) on this kind of submodules.

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Publication Date
Sun Jun 01 2014
Journal Name
Baghdad Science Journal
On Min - Cs Modules and Some Related Concepts

Our aim in this paper is to study the relationships between min-cs modules and some other known generalizations of cs-modules such as ECS-modules, P-extending modules and n-extending modules. Also we introduce and study the relationships between direct sum of mic-cs modules and mc-injectivity.

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Publication Date
Wed Jan 12 2022
Journal Name
Iraqi Journal Of Science
Hollow Modules With Respect to an Arbitrary Submodule

In this paper ,we introduce hollow modules with respect to an arbitrary submodule .Let M be a non-zero module and T be a submodule of M .We say that M is aT-hollow module if every proper submodule K of M such that T ⊈ K is a T-small submodule of M .We investigate the basic properties of a T-hollow module

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Publication Date
Thu Jul 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fully Fuzzy Visible Modules With Other Related Concepts

In previous our research, the concepts of visible submodules and fully visible modules were introduced, and then these two concepts were fuzzified to fuzzy visible submodules and fully fuzzy. The main goal of this paper is to study the relationships between fully fuzzy visible modules and some types of fuzzy modules such as semiprime, prime, quasi, divisible, F-regular, quasi injective, and duo fuzzy modules, where under certain conditions it has been proven that each fully fuzzy visible module is fuzzy duo. In addition, there are many various properties and important results obtained through this research, which have been illustrated. Also, fuzzy Artinian modules and fuzzy fully stable modules have been introduced, and we study the rel

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Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On Fully Semiprime Submodules and Fully Semiprime Modules

   Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever XXW for all fully invariant R-submodule X of M, implies XW.         M is called fully semiprime if (0) is a fully semiprime submodule of M. We give basic properties of these concepts. Also we study the relationships between fully semiprime submodules (modules) and other related submodules (modules) respectively.

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Publication Date
Fri Dec 08 2023
Journal Name
Iraqi Journal Of Science
Modules With Chain Conditions On δ -Small Submodules

Let R be an associative ring with identity and M be unital non zero R-module. A
submodule N of a module M is called a δ-small submodule of M (briefly N << M )if
N+X=M for any proper submodule X of M with M/X singular, we have
X=M .
In this work,we study the modules which satisfies the ascending chain condition
(a. c. c.) and descending chain condition (d. c. c.) on this kind of submodules .Then
we generalize this conditions into the rings , in the last section we get same results
on δ- supplement submodules and we discuss some of these results on this types of
submodules.

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Publication Date
Sun Sep 03 2023
Journal Name
Al-mansour Journal
SOME CLASSAS OF FULL STABLITY BANACH ALGEBRA MODULES

The research is an article that teaches some classes of fully stable Banach - Å modules. By using Unital algebra studies the properties and characterizations of all classes of fully stable Banach - Å modules. All the results are existing, and they've been listed to complete the requested information.