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Some Results on Weak Essential Submodules
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Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.

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Publication Date
Thu Apr 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Extend Nearly Pseudo Quasi-2-Absorbing submodules(I)
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The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the en

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Publication Date
Sun Oct 20 2024
Journal Name
Baghdad Science Journal
Modules Whose St-Closed Submodules are Fully Invariant
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The duo module plays an important role in the module theory. Many researchers generalized this concept such as Ozcan AC, Hadi IMA and Ahmed MA. It is known that in a duo module, every submodule is fully invariant. This paper used the class of St-closed submodules to work out a module with the feature that all St-closed submodules are fully invariant. Such a module is called an Stc-duo module. This class of modules contains the duo module properly as well as the CL-duo module which was introduced by Ahmed MA. The behaviour of this new kind of module was considered and studied in detail,for instance, the hereditary property of the St-duo module was investigated, as the result; under certain conditions, every St-cl

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Publication Date
Sat Jan 13 2018
Journal Name
Current Research In Microbiology And Biotechnology
Study of Rosemary Essential Oil Antibacterial Effect on bacteria Isolated from Urinary Tract Infections in some Hospitals of Baghdad
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Sixty urine samples were collected from women with urinary tract infection in different ages. The aims of this study were determined the dominancy of pathogens isolated from urine of women with UTI and evaluating the antibacterial activity of Rosmarinus officinalis L. essential oil against these pathogenic isolates. Identification of bacteria was done on Chromogenic orientation agar while disc diffusion method was used for determination the sensitivity of bacterial isolates to antibiotics and Agar well diffusion method was used for evaluation the antibacterial effect of Rosemary essential oil on these isolates. The results showed that 50% of women infected with Escherichia coli, it was dominants in ages above 15 years old while Staphyl

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Publication Date
Sat Jan 13 2018
Journal Name
Current Research In Microbiology And Biotechnology
Study of Rosemary Essential Oil Antibacterial Effect on bacteria Isolated from Urinary Tract Infections in some Hospitals of Baghdad
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Sixty urine samples were collected from women with urinary tract infection in different ages. The aims of this study were determined the dominancy of pathogens isolated from urine of women with UTI and evaluating the antibacterial activity of Rosmarinus officinalis L. essential oil against these pathogenic isolates. Identification of bacteria was done on Chromogenic orientation agar while disc diffusion method was used for determination the sensitivity of bacterial isolates to antibiotics and Agar well diffusion method was used for evaluation the antibacterial effect of Rosemary essential oil on these isolates. The results showed that 50% of women infected with Escherichia coli, it was dominants in ages above 15 years old while Staphylococc

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Publication Date
Thu Jan 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Strongly Maximal Submodules with A Study of Their Influence on Types of Modules
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      Let S be a commutative ring with identity, and A is an S-module. This paper introduced an important concept, namely strongly maximal submodule. Some properties and many results were proved as well as the behavior of that concept with its localization was studied and shown.

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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
⊕ μ*–essential – Supplemented
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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
DJ-coessential submodules
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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.

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Publication Date
Mon Mar 11 2019
Journal Name
Baghdad Science Journal
Results on a Pre-T_2 Space and Pre-Stability
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This paper contains an equivalent statements of a pre-  space, where  are considered subsets of with the product topology. An equivalence relation between the preclosed set  and a pre-  space, and a relation between a pre-  space and the preclosed set  with some conditions on a function  are found. In addition, we have proved that the graph  of  is preclosed in if  is a pre-  space, where the equivalence relation  on  is open.

     On the other hand, we introduce the definition of a pre-stable ( pre-stable) set by depending on the concept of a pre-neighborhood, where we get that every stable set is pre-stable. Moreover, we obtain that

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Publication Date
Mon May 08 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Evaluation Of The Activity Of Aqueous And Alcoholic Extract And Essential Oil Of Eucalyptus incrassata Toward Some Biological Characteristics Of The Water Mold Saprolegnia ferax
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The study was conducted to evaluate the antifungal activity of the aqueous and
alcoholic extract and the essential oil of E. incrassata leaves toward some biological
characteristics of the water mold S. ferax. Chemical analysis of the plant leaves using HPLC
showed the content of several active compounds included 1,8-Cineole, Terpineal, Citronellal,
Phellendrene and Citiric acid.
Treatment of the fungus growing on solid media containing different concentrations of
the extracts showed significant gradual decrease in radial growth with the increasing
concentration, and the effect varied with the different extracts.
Treatment of the fungus grown in distilled water on sesame seeds with different
concentratio

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Publication Date
Sat Jan 01 2022
Journal Name
International Journal Of Early Childhood Special Education (int-jecse)
(𝝁∗- Essential Lifting Modules)
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