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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
Sun Mar 05 2017
Journal Name
Baghdad Science Journal
Notes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings
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Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-Biderivation D. In this paper some certain identities are presented satisfying by the traces of G and D on an ideal of R which forces R to be commutative

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Publication Date
Wed Dec 20 2023
Journal Name
Health Education And Health Promotion
Influence of Educational Program of Cholera Disease on Nannies' Practices in the Nurseries
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Publication Date
Tue Feb 05 2019
Journal Name
Journal Of The College Of Education For Women
The Role of Italian Occupation of Ethiopia On the Egyptian- Italian Relations 1935
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When the Italian fascist party leaded & access to the top of regime, it took Benito
Mussolini as a post of Italian prime minister on 1922, that lead to rise the voices which need
to find colonies of Italy, like other colonial countries, especially that of its colonies in Libya,
Eritrea and Somalia were not achieved its ambitions, was to be the occupation of Ethiopia to
revive her dreams to exert control over the Red sea and the Mediterranean and the
establishment of a vast empire satisfy colonial ambitions.
the Italian invasion of Ethiopia gained particularly important, what led to the
disruption of the balance of political forces is not at the level of local powers in the region,
but at the level of the exten

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Publication Date
Wed Dec 12 2018
Journal Name
International Journal Of Pharmaceutical Research
Effect of Carbamazepine Drug on Liver Ultrastructure in Female White Mice (Mus musculus)
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Epilepsy is the most common neurological disorder after Alzheimer and other cerebrovascular diseases. Antiepileptic drugs (AED's) are one of the most important methods to prevent epileptic seizers. Antiepileptic drugs can cause damage to the liver which is the largest and most important glandular organ in the body with many other drugs. Carbamazepine (CBZ) is a known anticonvulsant that is widely used and known for a decade, it was used to treat trigeminal neuralgia, bipolar disorder and epilepsy and it can cause hepatotoxicity. In this study female white mice received CBZ suspension at a dose of 20 mg/kg/mouse via gastric gavage for 30 days, tissue samples were collected for scanning electron microscopy. We observed the adverse effects of

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Publication Date
Fri Dec 01 2023
Journal Name
Iop Conference Series: Earth And Environmental Science
Impact of Different Levels of Insulin on Cryopreservation Local Roosters Stored Semen Biomarkers
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Abstract<p>The aim of this research to examine the impact of different level of Insulin certain biomarkers of local roosters semen after being cooling for varying lengths of periods, roosters semen pooled, diluted with extender, and distributed randomly among five groups: Diluted semen put through the semen cryopreservation technique; the control treatment (C1) 0 insulin; (C2) contained 4 IU/insulin; (C3) contained 5 IU/insulin; (C4) contained 6 IU/insulin; and (C5) contained 7 IU/insulin. After 0, 24, 48 and 72 hours, cooling semen were evaluated for plasma membrane integrity(MI), acrosome integrity(AI), malondialdehyde (MDA) and total antioxidant capacity (TCA). The result showed significant d</p> ... Show More
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Publication Date
Thu Dec 22 2022
Journal Name
Fine Art Journal
Spatial relationships and their impact on monumental sculptures (arab capitals as a model)
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The current research deals with spatial relations as a tool to link urban landmarks in a homogeneous composition with monumental sculptures, by identifying these landmarks and the extent of their impact on them, which constitutes an urgent need to evaluate the appropriate place and its effects on them, so that this analytical study is a critical approach adopted in artistic studies of monumental models in Arabcapitals .The current research came in four chapters, the first chapter of which dealt with the research problem, its importance and the need for it, then its objectives that were determined in revealing the spatial relations and their impact on

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Publication Date
Fri Oct 01 2010
Journal Name
Iraqi Journal Of Physics
Effect of Hg on superconducting and microstructure properties of l2-xHgxSr2Ca2Cu3O10+δ systems
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Bulk polycrystalline samples have been prepared by the two-step solid state reaction process. It has been observed that as grown Tl2-xHgxSr2Ca2Cu3O10+δ (with x = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.8, 1) corresponds to the 2223 phase. It has been found that Tc varies with Hg content .The optimum Tc is about 120K for the composition Tl1.6Hg0.4Sr2Ca2Cu3O10+δ.The microstructure for Tl1.6Hg0.4Sr2Ca2Cu3O10+δ observed to be most dense and this phase exhibits the highest stability.

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Publication Date
Mon Dec 10 2007
Journal Name
Iraqi Journal Of Laser
Combination Effect of Laser, Antibiotics and Different Temperature on Locally Isolated Pseudomonas aeruginosa
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In humans, Pseudomonas aeruginosa is the second most frequent gram negative nosocomial pathogen in hospitals and has the highest case-fatality rate of all hospital-acquired bacteremia because of the hardy resistance of these bacteria to mechanical cleansing as well as to disinfectant, and many antibiotics. The susceptibility of bacteria against the antibiotics is modulated by several local factors such as temperature which modified drug efficacy, so this study was carried out to evaluate the effect of different temperature (20,42,45)Ċon the susceptibility of Pseudomonas aeruginosa to the minimum inhibitory concentrations (MIC) of the antimicrobial agents before and after irradiation. The samples collected from 150 persons suffering from

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Publication Date
Sun Mar 05 2017
Journal Name
Baghdad Science Journal
Studying the effective of conductor polymer substrate on the electrical properties of semiconductors
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This research includes depositionof thin film of semiconductor, CdSe by vaccum evaporation on conductor polymers substrate to the poly aniline where, the polymer deposition on the glass substrats by polymerization oxidation tests polymeric films and studied the structural and optical properties through it,s IR and UV-Vis , XRD addition to thin film CdSe, on of the glass substrate and on the substrate of polymer poly-aniline and when XRD tests was observed to improve the properties of synthetic tests as well as the semiconductor Hall effect proved to improve the electrical properties significantly

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Publication Date
Fri Apr 05 2024
Journal Name
Techhub Journal
The effect of suggested exercises on improving the kinesthetic response of soccer goalkeepers
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The introduction to the research included a presentation of some physical characteristics and their importance in sports, including the speed of kinesthetic response response and the extent of its usefulness and importance, especially for soccer goalkeepers, as it is the most important element that goalkeepers must have, and it is also the main key to the excellence and development of all physical and kinesthetic response qualities and skills of a goalkeeper. Football. The speed of kinesthetic response response and reaction is one of the requirements of the game of football, as well as all other sports and even in general professional life. Its importance is highlighted for the football goalkeeper, so he must master it perfectly to perform

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