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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
Wed Oct 08 2025
Journal Name
Journal Of Baghdad College Of Dentistry
The effect of inhaled corticosteroid on condition oral among asthmatic children
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Background: Inhalation therapy has been employed as the mainstay of the treatment in chronic respiratory diseases such as asthma, Patients who taking asthma medication may be at risk of many health problems including oral health .The purpose of this study was to assess the local effect of ICS on oral tissue by measuring Candida albicans count colonies in saliva among12 years old asthmatic children who were collected from AL- Zahra Center Advisory for Allergy and Asthma, and compares them with non asthmatic children of the same age and gender. Material and Methods: The total sample involved sixty children of 12 years old, thirty asthmatic children who received medium dose of ICS/day (200-400 microgram/day) for 2 years and 30 non-asthmatic ch

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Publication Date
Tue Jun 12 2018
Journal Name
Indian Journal Of Natural Sciences
Effect of Pomegranate Seed Oil on Glycemic Index in Diabetic Rabbits
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This study aimed to investigate the effect of oral administration of pomegranate seed oil on diabetic in male rabbits. A total of 32 adult male rabbits.6 months old weighting 1-2kg were divided in to four equal groups. G- Control (negative) Rabbits were received olive oil, G2- (control positive) Rabbits were received (30 mg/kg B.W/daily of the Pomegranate seed oil orally and daily for 45 day. G3-Rabbits were received (150mg/kg of Alloxan injected Intraperitonealy, G4-Rabbits were received the same dose orally of the Pomegranate seed oil four 45 days. There is significant increase (Insulin, Insulin resistance) and decreased glucose in group received Pomegranate seed oil (G4) as compared with G3 (diabetic group). On conclusion, the administra

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Publication Date
Tue Nov 01 2016
Journal Name
World J. Pharmaceut. Res
Histological study on kidney affected by carbamazepine drug in postnatal rat
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Background: The use of antiepileptic drugs (AEDs) during pregnancy warrants several side effects and also deleterious effects on fetal development, the antiepileptic drugs have potential to affect the fetal development throughout the pregnancy although, the majority of infants born to epileptic pregnant women are normal but more expose to the malformations. Aim: The present study aimed to investigate the effect of carbamazepine drug on the kidney development at day 7 postnatally in the Albino Rat (Rattus rattus) as a mammalian model. Material & Methods: 20 healthy pregnant female rats were divided into two groups, 10 pregnant rats in each group; group one served as control group administrated distal water while group two used as experimenta

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Publication Date
Tue Jan 01 2019
Journal Name
Eurasian Chemico --technological Journal
Influence of addition (Mn) on enhance efficiency of (CuInTe2) photovoltaic cell
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Publication Date
Thu Oct 01 2020
Journal Name
Green Engineering
Sustainability and recovery project management implementation on construction projects in Iraq
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Scopus
Publication Date
Wed Jan 01 2020
Journal Name
Medical Journal Of Babylon
Impact of chronic hepatitis B virus infection on bone mineral density
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Background: Chronic hepatitis B virus (HBV) infection is a common health problem that has a worldwide distribution. Apart from the direct effect of the virus on the liver, there are many extrahepatic manifestations among which the probable effect on bone turnover associated with low bone mineral density (BMD). Objectives: This study aimed to determine the association between treated and untreated chronic HBV infection with BMD. Methods: This is a cross-sectional study which included a total of 48 patients with chronic HBV (28 patients treated with tenofovir-disoproxil-fumarate [TDF] antiviral drug and 20 patients have not yet started treatment). Other age- and sex-matched 30 apparently healthy individuals were recruited to represent the hea

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Publication Date
Fri Dec 01 2023
Journal Name
Iop Conference Series: Earth And Environmental Science
Impact of Glycetin Injection on Productive Traits in local Iraqi Chickens
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Abstract<p>This study aimed to investigate the impact of implementing Glycetin by injection on the productive features of local Iraqi chickens. 100 female hens and 20 roosters from a local Iraqi chicken population, at age 26 weeks. The sample was divided into three groups, in addition to a control group. Each experimental group had 25 female hens, with the same procedure being performed for each individual hen, and 20 roosters, which were reared separately for the purpose of artificial insemination. The avian specimens were housed in separate enclosures, and the experimental conditions were allocated as follows: the initial condition (Control Group) did not receive any injections, whereas condit</p> ... Show More
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Publication Date
Wed Feb 27 2019
Journal Name
Political Sciences Journal
Effects of Neighboring Countries on the Iraqi Parliament Performance after 2003
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Publication Date
Sun Sep 27 2020
Journal Name
Journal Of The College Of Education For Women
The Effect of Globalized Media on Ideological Deviation of Young Adults
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This study aims to identify the effects of globalized media on the creed deviation of young adults in the light of the challenges of globalization in all its forms. It aims to identify globalization’s most important means; media, while clarifying its concept and its most important types and tools and employing all media means for learning and proper education. The latters are safeguarded from the influences and effects of globalization, developing the spirit of coexistence and peaceful dialogue with others and clarifying the effect of creed deviation on weakening the Muslim community. The importance of the topic lie in how to address and maintain the ideological values ​​and morals of our youth, make them aware of the challenges/da

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Publication Date
Fri Sep 30 2011
Journal Name
Al-khwarizmi Engineering Journal
Effect of Solid Loading on Carbon Dioxide Absorption in Bubble Column
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In the present work experiments were conducted to study  the effect of solid loading (1,5 and 9 vol.%) on the enhancement of carbon dioxide absorption in bubble column at various volumetric gas flow rate (0.75, 1 and 1.5 m3/h) and absorbent concentration (caustic soda)( 0.1,0.5 and 1 M  ). Activated carbon and alumina oxide (Al2O3) are used as solid particles. The Danckwerts method was used to calculate interfacial area and individual mass transfer coefficients during absorption of carbon dioxide in a bubble column. The results show that the absorption rate was increased with increasing volumetric gas flow rate, caustic soda concentration and solid loading. Mass transfer coefficient and interfac

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