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On J–Lifting Modules
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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> <mo>⊕</mo> <mover> <mi mathvariant="normal">K</mi> <mo>′</mo> </mover> <mo>,</mo> <mi mathvariant="normal"> </mi> <mover> <mi mathvariant="normal">K</mi> <mo>′</mo> </mover> <mo>⊆</mo> <mi mathvariant="normal">M</mi> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012025_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula> and <inline-formula> <tex-math><?CDATA ${\rm{N}} \cap \mathop {\rm{K}}\limits^\prime { \ll _{\rm{J}}}\mathop {\rm{K}}\limits^\prime $?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mi mathvariant="normal">N</mi> <mo>∩</mo> <mover> <mi mathvariant="normal">K</mi> <mo>′</mo> </mover> <msub> <mo>≪</mo> <mi mathvariant="normal">J</mi> </msub> <mover> <mi mathvariant="normal">K</mi> <mo>′</mo> </mover> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012025_ieqn2.gif" xlink:type="simple"></inline-graphic> </inline-formula>. The am of this paper is to introduce properties of J–lifting modules. Especially, we give characterizations of J–lifting modules.We introduce J–coessential submodule as a generalization of coessential submodule . Finally, we give some conditions under which the quotient and direct sum of J–lifting modules is J–lifting.</p>
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Publication Date
Tue Sep 19 2017
Journal Name
Journal Of Engineering
Fire Flame Influence on the Behavior of reinforced Concrete Beams Affected by Repeated Load
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The influence and hazard of fire flame are one of the most important parameters that affecting the durability and strength of structural members. This research studied the influence of fire flame on the behavior of reinforced concrete beams affected by repeated load. Nine self- compacted reinforced concrete beams were castellated, all have the same geometric layout (0.15x0.15x1.00) m, reinforcement details and compressive strength (50 Mpa).

To estimate the effect of fire flame disaster, four temperatures were adopted (200, 300, 400 and 500) oC and two method of cooling were used (graduated and sudden). In the first cooling method, graduated, the tested beams were leaved to cool in air while in the seco

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Publication Date
Thu Mar 15 2018
Journal Name
Journal Of Baghdad College Of Dentistry
The Impact of Mother-Infant Bonding on Periodontal Health Status in the Postpartum Period
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Background: Mother-infant bonding is an important psychological step postpartum and disturbed relationship may carry dramatic consequences as a psychological disorder which may affect the periodontal health of the mother. The aim of the present study was to assess the effect of the postpartum Mother-infant bonding on their periodontal condition. Materials and Methods: Mothers in the postpartum period with age range 20-35 years were subjected to postpartum Bonding Questionnaire (PBQ). Periodontal health status was assessed by measuring probing pocket depth and clinical attachment level. Results: The mean values of both probing pocket depth (PPD) and clinical attachment loss (CAL) were higher among disordered mothers than mothers with normal

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Publication Date
Wed Dec 01 2021
Journal Name
Case Studies In Construction Materials
CFRP strengthening efficiency on enhancement punching shear resistance of RC bubbled slabs with openings
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Publication Date
Mon Jun 28 2021
Journal Name
Journal Of Engineering
The Catholyte Effects on The Microbial Desalination Cell Performance of Desalination and Power Generation
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A microbial desalination cell (MDC) is a new approach to bioelectrochemical systems. It provides a more sustainable way to electrical power production, saltwater desalination, and wastewater treatment at the same time. This study examined three operation modes of the MDC: chemical cathode, air cathode, and biocathode MDC, to give clear sight of this system's performance. The experimental work results for these three modes were recorded as power densities generation, saltwater desalination rates, and COD removal percentages. For the chemical cathode MDC, the power density was 96.8 mW/m2, the desalination rate was 84.08 ppm/hr, and the COD removal percentage was 95.94%. The air cathode MDC results were different

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Publication Date
Wed May 15 2024
Journal Name
Iraqi Journal Of Applied Physics
Effect of Solvent on Spectroscopic Characteristics and Energy Transfer Processes of Some Laser Dyes
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Publication Date
Mon Oct 01 2018
Journal Name
World Journal Of Pharmacy And Pharmaceutical Sciences
THE ANTIBACTERIAL EFFECT OF FLAXSEED EXTRACT ON SELECTIVE ORAL PATHOGENS - COMPARATIVE IN VITRO STUDY
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Flaxseed from the flax plant (Linum usitatissimum), which has been cultivated for domestic use since prehistoric times. This study aims to investigate presence of antibacterial effect of flaxseed extract against selected oral pathogen in-vitro.

Publication Date
Sat Feb 07 2026
Journal Name
Journal Of Al-qadisiyah For Computer Science And Mathematics
Modified LASS Method Suggestion as an additional Penalty on Principal Components Estimation – with Application-
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This research deals with a shrinking method concernes with the principal components similar to that one which used in the multiple regression “Least Absolute Shrinkage and Selection: LASS”. The goal here is to make an uncorrelated linear combinations from only a subset of explanatory variables that may have a multicollinearity problem instead taking the whole number say, (K) of them. This shrinkage will force some coefficients to equal zero, after making some restriction on them by some "tuning parameter" say, (t) which balances the bias and variance amount from side, and doesn't exceed the acceptable percent explained variance of these components. This had been shown by MSE criterion in the regression case and the percent explained v

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Publication Date
Sat Sep 21 2013
Journal Name
Nonlinear Dynamics
BER performance enhancement for secure wireless optical communication systems based on chaotic MIMO techniques
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Publication Date
Tue Dec 01 2020
Journal Name
Iop Conference Series: Materials Science And Engineering
Effect of Adding Chopped Carbon Fiber (CCF) on the Improvement of Gypsum Plaster Characteristicssss
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Abstract<p>The current work studies the effect of adding chopped carbon fiber (CCF) on gypsum plaster properties (precisely the compressive strength and the modulus of rupture). The research plan consists of using six mixes of gypsum plaster; these mixes are divided into two groups according to the (Water/Gypsum) ratios (0.5 & 0.6). Each group was divided into three subgroups according to CCF volume fraction (Vf): 0.0%, 0.2% and 0.4%. Three cubic (50×50×50) mm and three prismatic (40×40×160) mm samples were performed for each mix. It was found that, the addition of CCF to the gypsum plaster mixes increases both the compressive strength and the modulus of rupture for both (W/G) ratios, an</p> ... Show More
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Publication Date
Sat Feb 07 2026
Journal Name
Al-fatih Journal
Effect of resistance training on the development of marital some elements of physical fitness
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يشهد العالم تقدما في كافة مجالات الحياة المختلفة وتزداد الحياة صعوبة يوما بعد يوم, ويزداد البحث في كافة المجالات التي تعمل على خدمة الإنسان ولقد طال هذا التقدم النشاط الرياضي ,فقد يكون لتطور التدريب الرياضي وتنوع أساليبه الدور الكبير في تحقيق اللياقة البدنية التي تعد إحدى أهم الأهداف التي يرمي إليها الدرس في كلية التربية الرياضية . واللياقة البدنية تستمد أهميتها من كونها إحدى مكونات اللياقة الشاملة التي بدو

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