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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
Sat Dec 31 2016
Journal Name
مجلة جامعة االنبار للعلوم البدنية والرياضية
The effects of Pilates exercises while using the ladder barrel device on fitness and coordinatedin performance for motor formations in artistic gymnastics for students
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The aim of the research was to prepare Pilates exercises using the barrel ladder apparatus and to identify the effect of Pilates exercises on agility, coordination, and motor sequences of third-year female students in artistic gymnastics. The researcher adopted the experimental method to achieve the objectives of the study and to verify its hypotheses, as it is suitable for the nature and problem of the research. In selecting the research population, the researcher carefully chose the sample using a purposive method, clarifying its elements and constituent units. The research population consisted of third-year female students at the College of Physical Education and Sports Sciences for Women / University of Baghdad, with a total of 20 stud

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Publication Date
Wed Dec 14 2016
Journal Name
Journal Of Baghdad College Of Dentistry
Comparative Evaluation of the Effect of Different Universal Adhesives and Bonding Techniques on the Marginal Gap of Class I Composite Restoration (A SEM Study)
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Background: With the increase in composite material use in posterior teeth, the concerns about the polymerization shrinkage has increased with the concerns about the formation of marginal gaps in the oral cavity environment. New generation of adhesives called universal adhesive have been introduced to the market in order to reduce the technique sensitive bonding procedures to give the advantage of using the bonding system in any etching protocol without compromising the bonding strength. The aim of the study was to study marginal adaptation of two universal adhesives (Single bondâ„¢ Universal and Prime and Bond elect) using 3 etching techniques under thermal cycling aging. Materials and Methods: Forty-eight sound maxillary first premola

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Publication Date
Thu Jun 02 2022
Journal Name
Neuroquantology
The effect of the relationship of leptin hormone and live body weight on some chemical characteristics of the blood serum of local laying hens
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The study was conducted out at the Ministry of Agriculture's Poultry Research Station/Animal ResourcesDepartment/Agricultural Research Center. To see how body weight (BW) and leptin hormone (LEP) levels inbreeder blood affect fertility and hatchability. 140 Iraqi local laying chickens (120 females + 20 males) aged 28weeks were used in the study. Following the numbering of The experiment was divided into three periods,each lasting 28 days, during which the breeder's live body weight was recorded and divided into two categories(greater than 1.5 kg and less than 1.5 kg), and blood samples were collected at the end of each period todetermine the concentration of leptin hormone in the breeders' blood. For comparison between mothers'performance,

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Publication Date
Fri Feb 01 2019
Journal Name
Meta Gene
Cytokine gene variations and their impact on serum levels of IFN-γ, IL-2, IL-4, IL-10 and IL-12 among Iraqi Arabs
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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of The Mechanical Behavior Of Materials
The slenderness ratio effect on the response of closed-end pipe piles in liquefied and non-liquefied soil layers under coupled static-seismic loading
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Abstract<p>This study presents the findings of a 3D finite element modeling on the performance of a single pile under various slenderness ratios (25, 50, 75, 100). These percentages were assigned to cover the most commonly configuration used in such kind of piles. The effect of the soil condition (dry and saturated) on the pile response was also investigated. The pile was modeled as a linear elastic, the surrounded dry soil layers were simulated by adopting a modified Mohr-Coulomb model, and the saturated soil layers were simulated by the modified UBCSAND model. The soil-pile interaction was represented by interface elements with a reduction factor (R) of 0.6 in the loose sand layer and 0.7 in t</p> ... Show More
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Publication Date
Sun Mar 01 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Impact assessment of strategic goods on government grants and as a result of activity: An analytical study at the General Company of grain trading
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  In Iraq,  government contributions to the public companies have become a very important aspect which contributes to the survival and sustainability of these institutions as it consider  one of the main sources of funding, if not it consider the basis of funding.

  According to  the vital roles assigned to these institutions to follow up, which usually  include important activities in the national economy, the research focused on studying the field reality of the method used in evaluating the stock of total production and purchases of goods for the purpose of selling the strategic commodities of the General Company for Grain Trade.  As a result, the aim of this study came to came to highlight&n

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Publication Date
Sun Mar 10 2024
Journal Name
Journal Of Sport And Health Research
The effectiveness of a rehabilitation program with aqueous media on the egree of pain and balance for those suffering from sacroiliitis in football players
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Abstract in English  The aim of this study is to identify the effectiveness of rehabilitation exercises in conjunction with aquatic therapy for those suffering from sacroiliitis in football players. The researcher used the experimental approach, using the experimental design (pre-measurement, post-measurement). Similar to the objectives and procedures of the research, the researcher assumed the following: the existence of significant differences. Statistics between pre- and post-measurements in variables in favor of post-measurement for the following variables (degree of pain and level of balance). The experimental approach was used with a pre- and post-measurement design on one group of football players with sacroiliitis, nu

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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of Pharmaceutical Negative Results
Influence of Leukotriene Pathway Polymorphisms (Arachidonate 5-lipoxygenase ALOX5,Cysteinyl Leukotriene Receptor CysLTR1) On Response to Montelukast in A sample of Asthmatic Iraqi Patients
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Publication Date
Mon Aug 31 2020
Journal Name
Journal Of Research In Medical And Dental Science
The Effect of Super Oxidized Water Mouthwash on the Level of IL 1? in Gingival Crevicular Fluid for Patients with Gingivitis Randomized Clinical Trial
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Background: One of the most predominant periodontal diseases is the plaque induced gingivitis. For the past 20 years, super-oxidized solutions have be..

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Publication Date
Mon Mar 09 2026
Journal Name
Journal Of Physical Education
Special Exercises Using A Proposed Training Apprentice And Its Effect On Some Biomechanical Indicators and Achieving 110m Hurdles For players Under 20 years old
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