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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
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
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
Sat Jan 01 2022
Journal Name
International Journal Of Early Childhood Special Education (int-jecse)
(𝝁∗- Essential Lifting Modules)
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Publication Date
Fri May 01 2015
Journal Name
Journal Of Physics: Conference Series
Spectrum of Secondary Submodules
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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
J-Small Semiprime Submodules
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Abstract<p>Let <italic>R</italic> be a commutative ring with identity and <italic>Y</italic> be an unitary <italic>R</italic>-module. We say a non-zero submodule <italic>s</italic> of <italic>Y</italic> is a <italic>J –</italic> small semiprime if and only if for whenever <italic>i</italic> ∈ <italic>R, y ∈ Y,(Y)</italic> is small in <italic>Y</italic> and <italic>i<sup>2</sup>y</italic> ∈ <italic>S</italic> + <italic>Rad (Y)</italic> implies <italic>iy</italic> ∈ <italic>S.</italic> In this paper, we investigate some properties and chara</p> ... Show More
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Weakly Small Smiprime Submodules
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Abstract<p>Let <italic>R</italic> be a commutative ring with an identity, and <italic>G</italic> be a unitary left <italic>R</italic>-module. A proper submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is called semiprime if whenever <italic>a ∈ R, y ∈ G, n ∈ Z</italic> <sup>+</sup> and <italic>a<sup>n</sup>y ∈ H</italic>, then <italic>ay ∈ H</italic>. We say that a properi submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is a weakly small semiprime, if whenever <ita></ita></p> ... Show More
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Publication Date
Mon Aug 29 2016
Journal Name
World Journal Of Experimental Biosciences
Effect of sub-inhibitory and inhibitory concentrations of some antibiotics and rosemary essential oil (Rosmarinus officinalis L.) on biofilm formation of Klebsiella pneumoniae
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Klebsiella pneumoniae have an ability to form biofilm as one of strategies to persist and overcome host defenses. The study aims to evaluate the effectiveness of rosemary essential oil alone and in combination with some antibiotics against biofilm of K. pneumoniae isolated from urine. The antibiotics resistance pattern by disc diffusion method and minimal inhibitory concentration (MIC) of gentamicin, ciprofloxacin, amoxicillin, trimethoprim/ sulfame- thoxazole, cefotoxime and rosemary essential oil were determined. The ability to form biofilm as well as inhibition of biofilm formation of K. pneumoniae was performed. MICs 128, 0.25, 768, 64, 384 and 10 µg/ml were used. The effect of MIC and 1/2 MIC of antibiotics and rosemary essential oil

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Publication Date
Thu Jun 10 2010
Journal Name
Iraqi Journal Of Laser
Generation of Weak Coherent Pulses for Quantum Cryptography Systems
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This work is a trial to ensure the absolute security in any quantum cryptography (QC) protocol via building an effective hardware for satisfying the single-photon must requirement by controlling the value of mean photon number. This was approximately achieved by building a driving circuit that provide very short pulses (≈ 10 ns) for laser diode -LD- with output power of (0.7-0.99mW) using the available electronic components in local markets. These short pulses enable getting faint laser pulses that were further attenuated to reach mean photon number equal to 0.08 or less.

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