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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
Thu Feb 19 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Effects of light smoking on salivary levels of alkaline phosphatase and osteocalcin in chronic periodontitis patients
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Background: Chronic periodontitis is an inflammatory disease that affects the supporting tissues of the teeth and it’s common among adults. Smoking is an important risk factor for periodontitis induces alveolar bone loss. Alkaline phosphatase enzyme is involved in the destruction of the human periodontium. It is produced by many cells such as polymorphonuclear leukocytes, osteoblasts, macrophages and fibroblasts within the area of the periodontium and gingival crevice. Osteocalcin is one of the most abundant matrix proteins found in bones and the only matrix protein synthesized exclusively there. Smaller Osteocalcin fragments are found in areas of bone remodeling and are actually degradation products of the bone matrix.The purpose of

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Publication Date
Mon Aug 15 2011
Journal Name
International Journal Of Poultry Science
Effect of Dietary Supplementation with Different Levels of Arginine on Some Blood Traits of Laying Hens
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This experiment was carried out at the Field of Poultry, Department of Animal Resources, College of Agriculture, University of Baghdad, during the period from 1/5/2011 until 5/7/2011 to study the effect of adding arginine to laying hens diet on certain blood traits. A total of 100 Brown Lohmann laying hen chickens, 38 weeks of age, were randomly distributed into four treatment groups, with 25 hens for each treatment. Treatment groups were: T1: bird-fed diet with no additional arginine (control group); T2, T3, and T4: bird-fed diet supplemented with 0.4, 0.7, and 0.9%, respectively. Therefore, the total amounts of arginine in the four treatments (T1, T2, T3, and T4) become 1.1, 1.5, 1.8, and 2.0%, respectively. Results of this experiment rev

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Publication Date
Sat Dec 01 2018
Journal Name
Al Mustansiriyah Journal Of Pharmaceutical Sciences
Effect of Lead Exposure on Some Biochemical Parameter of Battery Factory and Benzene Fuel Stations Workers
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Publication Date
Sat Jun 01 2024
Journal Name
Journal Of Physics: Conference Series
Study of The Effect of Concentration on The Efficiency of The Sensitive N749-TiO2 Solar Cell
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In this research, we studied the effect of concentration carriers on the efficiency of the N749-TiO2 heterogeneous solar cell based on quantum electron transfer theory using a donor-acceptor scenario. The photoelectric properties of the N749-TiO2 interfaces in dye sensitized solar cells DSSCs are calculated using the J-V curves. For the 〖(CH_3)〗_3 COH solvent, the N749-TiO2 heterogeneous solar cell shows that the concentration carrier together with the strength coupling are the main factors affecting the current density, fill factor and efficiency. The current density and current increase as the concentration increases and the strength coupling increases as the N749-TiO2 heterogeneous in solar cell. However, the efficiency is more sens

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
A new approach for the topical treatment of acne vulgaris by clindamycin HCL supported on kalion
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Has been studied both processes Almetzaz and extortion of a substance Alklanda Maysan different amounts of Alcaúlan Guy 70% alcohol solution using the method when the wavelength

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Publication Date
Sat Feb 12 2022
Journal Name
Engineering, Technology &amp; Applied Science Research
Prestressing Effects on Full Scale Deep Beams with Large Web Openings¨: An Experimental and Numerical Study
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Most studies on deep beams have been made with reinforced concrete deep beams, only a few studies investigate the response of prestressed deep beams, while, to the best of our knowledge, there is not a study that investigates the response of full scale (T-section) prestressed deep beams with large web openings. An experimental and numerical study was conducted in order to investigate the shear strength of ordinary reinforced and partially prestressed full scale (T-section) deep beams that contain large web openings in order to investigate the prestressing existence effects on the deep beam responses and to better understand the effects of prestressing locations and opening depth to beam depth ratio on the deep beam performance and b

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Publication Date
Thu Jun 30 2022
Journal Name
Pakistan Journal Of Medical And Health Sciences
The Effect of Music Therapy on Clients' Vital Signs during Pulmonary Function Test: An Experimental Study
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Background: The patient's vital signs must stay stable pre a pulmonary function test since the approach demands the patient to breathe slowly and deeply and exhale quickly. However, events that cause variations in normal vital signs may impact the patient. Many strategies can be utilized to stabilize vital signs, including music treatment. The purpose of this study is to compare the effectiveness of music therapy on the vital signs of client's pre a pulmonary function test. Methods: An experimental design study with an application (pre-test, post-test), to determine the effectiveness of music therapy for clients pre pulmonary function test for 106 clients in Al-Diwaniyah, Al-Shamiya, and Al- Hamza public hospitals In Iraq. Parti

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Publication Date
Sun Jun 05 2016
Journal Name
Baghdad Science Journal
Synthesis, Characterization of some New 1, 3, 4-Oxadiazole derivatives based on 4- amino benzoic acid
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In this research various of 2,5-disubstituted 1,3,4-oxadiazole (Schiff base, oxo-thiazolidine , and other compounds) were synthesized from 2,5-di(4,4?- amino-1,3,4-oxadiazole ) which use quently synthesized from mixture of 4-amino benzoic acid and hydrazine in the presence of polyphosphorus acid. The synthesized compounds were characterized by using some Spectral data (UV, FT-IR, and 1H-NMR).

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Publication Date
Fri Sep 15 2023
Journal Name
Al-academy
Contemporary Iraqi arts techniques and their reflection on the products of the students of Art Education
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The techniques of contemporary Iraqi painting and their reflection on the productions of students of art education is an important subject in the field of painting at the theoretical and practical levels in academic study, whether theoretical or practical. Al-Iraqi is one of the arts with historical roots and a distinguished position among other artistic genres. Painting has received a sufficient level of development through the use of various contemporary techniques to advance it for the better.
The methodological framework included the problem of research and the need for it, and then the importance of research came in shedding light on the techniques of contemporary Iraqi painting, and the impact of these techniques on the producti

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Publication Date
Thu Feb 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
the administrative investigation and its impact on the performance of the offices of the inspectors General.
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The purpose of this research is to highlight the relationship between the   administrative investigation and the improvement of institutional performance, and the research sought to achieve a set of cognitive and applied goals. the administrative investigation is the modern trend of managing the offices of the general  hginspectors and the main source to build the necessary standards to manage and invest its resources efficiently and effectively required to achieve the goals it seeks. The institutional performance is the cornerstone for the implementation of all tasks and duties carried out by institutions operating within the borders of a particular country, The significant change

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