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IRbHuIoBVTCNdQwC-aRI
ESSENTIAL T-hollow-lifting module
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Abstract<p>Let M be a R-module, where R be a commutative ring with identity, In this paper, we defined a new kind of module namely ET-hollow lifting module, Let T be a submodule of M, M is called ET-hollow lifting module if for every sub-module H of M with <inline-formula> <tex-math><?CDATA $\frac{M}{H}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mfrac> <mi>M</mi> <mi>H</mi> </mfrac> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012070_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula> is <inline-formula> <tex-math><?CDATA $E(\frac{T+H}{H})$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mi>E</mi> <mo stretchy="false">(</mo> <mfrac> <mrow> <mi>T</mi> <mo>+</mo> <mi>H</mi> </mrow> <mi>H</mi> </mfrac> <mo stretchy="false">)</mo> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012070_ieqn2.gif" xlink:type="simple"></inline-graphic> </inline-formula>-hollow, then there exists a direct summand D of M such that <inline-formula> <tex-math><?CDATA $D\subseteq E(\frac{T+D}{D})ce$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mi>D</mi> <mo>⊆</mo> <mi>E</mi> <mo stretchy="false">(</mo> <mfrac> <mrow> <mi>T</mi> <mo>+</mo> <mi>D</mi> </mrow> <mi>D</mi> </mfrac> <mo stretchy="false">)</mo> <mi>c</mi> <mi>e</mi> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012070_ieqn3.gif" xlink:type="simple"></inline-graphic> </inline-formula>. we introduce some properties of ET-hollow lifting module.</p>
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Publication Date
Mon Jan 08 2024
Journal Name
Al-academy
Designing a module in light of cognitive learning theories and their impact on the achievement of students of the Department of Art Education and their motivation in learning the subject of aesthetics.
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This research aims to:
1 – Make a proposed module for (aesthetics) for the second stage - Department of Art Education under education theories.
2 - Verification from the effect of the proposed module on student achievement and motivation towards learning aesthetics material.
To verification the second goal we wording these two hypotheses:
1- There are no individual differences with statistically significant at level (0.05) between the student's scores average. (Experimental group ) who studied according to the proposed module and the average student's scores (control group) who studied in the usual way for the achievement test for the Aesthetics material.
2- There are no individual differences with statistically signifi

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Publication Date
Wed Jun 01 2016
Journal Name
Journal Of Biotechnology Research Center
TGF-β1 Gene Polymorphism in Codon 10 +869*C/T and Codon 25 +915*G/C Positions in Iraqi Patients with Type 2 Diabetes Mellitus
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This study included 50 blood samples that were collected from patients with age ranged between 35-65 years. Thirty samples were collected from patients with Type 2 Diabetes Mellitus (T2DM), while 20 blood samples were collected from healthy individuals as a control sample. The polymorphism results of TGF-β1 gene in codon 10: +869*C/T position by using amplification refractory mutation system (ARMS-PCR) showed that the T allele was suggested to have a protective effect, while C allele was associated with an increased risk of T2DM. The TT and CT were suggested to have a protective effect, while CC genotype was associated with an increased risk of T2DM. The polymorphism results of TGF-β1 gene in codon 25: +915*G/C position in samples

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Publication Date
Thu Mar 03 2022
Journal Name
Archives Of Rheumatology
Association of tumor necrosis factor-alpha promoter region gene polymorphism at positions -308G/A, -857C/T, and -863C/A with etanercept response in Iraqi rheumatoid arthritis patients
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Objectives: This study aims to evaluate the association between polymorphisms in the promoter region of the tumor necrosis factor-alpha (TNF-α) gene at locations -308G/A, -857C/T, and -863C/A with the tendency of being non-responder to etanercept.

Patients and methods: Between October 2020 and August 2021, a total of 80 patients (10 males, 70 females; mean age: 50 years; range, 30 to 72 years) with rheumatoid arthritis (RA) receiving etanercept for at least six months were included. The patients were divided into two groups responders and non-responders, based on their response after six months of continuous treatment. Following polymerase chain reac

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Publication Date
Mon Jan 02 2023
Journal Name
Pakistan Heart Jornal
The Effect of the Strategy of Differentiated Education According to the Auditory Learning Style by Using Assistance in Learning the Back Kick (T-Chagi) for the Young Players of …
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Publication Date
Wed Dec 30 2015
Journal Name
College Of Islamic Sciences
Achieve breastfeeding book and theft book To the end of the door cut the way of the manuscript Sailing Forum for Sheikh Ibrahim bin Mohammed Halabi (T: 659 H): Study and achieve
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Achieve breastfeeding book and theft book
To the end of the door cut the way of the manuscript
Sailing Forum for Sheikh Ibrahim bin Mohammed Halabi
(T: 659 H)

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