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RELATIONSHIP OF ESSENTIALLY SEMISMALL QUASI-DEDEKIND MODULES WITH SCALAR AND MULTIPLICATION MODULES
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Let R be a ring with 1 and W is a left Module over R. A Submodule D of an R-Module W is small in W(D ≪ W) if whenever a Submodule V of W s.t W = D + V then V = W. A proper Submodule Y of an R-Module W is semismall in W(Y ≪_S W) if Y = 0 or Y/F ≪ W/F ∀ nonzero Submodules F of Y. A Submodule U of an R-Module E is essentially semismall(U ≪es E), if for every non zero semismall Submodule V of E, V∩U ≠ 0. An R-Module E is essentially semismall quasi-Dedekind(ESSQD) if Hom(E/W, E) = 0 ∀ W ≪es E. A ring R is ESSQD if R is an ESSQD R-Module. An R-Module E is a scalar R-Module if, ∀ , ∃ s.t V(e) = ze ∀ . In this paper, we study the relationship between ESSQD Modules with scalar and multiplication Modules. We show that if E is scalar semismall quasi-prime R-Module. Then E is an ESSQD R-Module, we show that if E is faithful multiplication R-Module, thus E is an essentially semismall prime R-Module iff R is an ESSQD ring

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Publication Date
Tue Jun 30 2020
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
STUDY THE CONTAMINATION OF WATER BOTTLES WITH SOME CHEMICALS DUE TO HEAT EXPOSURE: STUDY THE CONTAMINATION OF WATER BOTTLES WITH SOME CHEMICALS DUE TO HEAT EXPOSURE
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The transfer of chemical pollutants from bottled water into water due to heat, sunlight and poor storage is one of the most serious threats to human health around the world, the objective of this study was to estimate the pH value and the transport of heavy metals from plastic bottles to water, for this purpose, 30 bottles of water for 10 local brands were collected and divided into three groups, the first was left at room temperature 25°C, The second was placed in a heat oven at 25°C and the third in another oven at 50°C for two weeks. The results showed significant differences at (P<0.05) between water samples, pH value and concentrations of heavy metals (Sb, Pb, Ni, Cu, Cr, Cd and Fe) we

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Publication Date
Mon Sep 22 2025
Journal Name
International Journal Of Technology
Numerical Investigations of SiO2 and TiO2 Nanoparticle's Addition Impact on Performance, Combustion Features, and Emission Characteristics of a Diesel Engine Operating with Water Diesel Emulsified Fuel at Different Lambda Values and Engine Speeds
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Publication Date
Tue Jan 17 2012
Journal Name
Journal Of Kerbala University
Synthesis, Characterization, of mixed ligand Complexes of (Anthranilic Acid and Nicotinamide) with Mn(II), Co(II),Ni(II), Cu(II), Zn(II) Cd(II), Hg(II) and pd(II)
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Publication Date
Mon Jan 01 2024
Journal Name
Dental Hypotheses
Effect of Surface Treatments with Plasma and Chemical Bond on Shear Bond Strength of Acrylic Denture Teeth to Flexible and Heat-Cured Denture Base Material: An In Vitro Study
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Introduction: We aimed to evaluate the shear bond strength of acrylic denture teeth to flexible and heat-cured denture base material after surface treatments with argon plasma, chemical bonding agent (PALFIQUE universal), and combination. Methods: A total of 80 incisor acrylic denture teeth were treated with a argonplasma, chemical bond (PALFIQUE universal bond), and a combination with 10 samples for each group. The neck (gingival portion) of teeth was cut at a 45° angle, and the teeth were attached to heat-cured acrylic resin and flexible denture base material. All the specimens were stored in artificial saliva for 7 days in an incubator (37 °C). A shear

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Publication Date
Tue Jun 02 2020
Journal Name
International Journal Of Pharmaceutical Research
Association between Serum Leptin Level and Insulin Resistance in Acromegalic Iraqi Patients with Type 2 Diabetes Mellitus
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Publication Date
Sat Dec 04 2021
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn: 2789-3219 )
Association between Lipid Profile and Glycemic Status in Iraqi patients with Acromegaly Receiving Depot Long-Acting Octreotide
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Background: Treatment modalities of acromegaly and disease control impact differently on glucose homeostasis and lipid changes, and consequently on cardiometabolic risk. Aim: To investigate the possible association of lipid profile changes with the glycemic control status in acromegaly patients treated with octreotide LAR. Methods: This cross-sectional study included 52 Iraqi patients with acromegaly treated with octreotide LAR and not using statins. Demographic, anthropometric, and clinical data were collected, as well as the duration of Octreotide LAR administration. The glycemic state was assessed and classified as DM, prediabetes, or normal. Plasma levels of triglycerides, LDL cholesterol, HDL cholesterol, and non-HDL were evalu

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Publication Date
Sat Jan 01 2011
Journal Name
Journal Of Engineering
MIXED CONVECTION PHENOMINA AFFECTED BY RADIATION IN A HORIZONTAL RECTANGULAR DUCT WITH COCENTRIC AND ECCENTRIC CIRCULAR CORE
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The numerical investigation has been performed to study the radiation affected steady state laminar mixed convection induced by a hot inner varied positions circular core in a horizontal rectangular channel for a fully developed flow. To examine the effects of thermal radiation on thermo fluid dynamics behavior in the eccentric geometry channel, the generalized body fitted co-ordinate system is introduced while the finite difference method is used for solving the radiative transport equation. The governing equations which used are continuity, momentum and energy equations. These equations are normalized and solved using the Vorticity-Stream function. After validating numerical results for the case without radiation, the detailed rad

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Publication Date
Sat Jan 01 2011
Journal Name
Journal Of Engineering
MIXED CONVECTION PHENOMINA AFFECTED BY RADIATION IN A HORIZONTAL RECTANGULAR DUCT WITH COCENTRIC AND ECCENTRIC CIRCULAR CORE
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The numerical investigation has been performed to study the radiation affected steady state laminar mixed convection induced by a hot inner varied positions circular core in a horizontal rectangular channel for a fully developed flow. To examine the effects of thermal radiation on thermo fluid dynamics behavior in the eccentric geometry channel, the generalized body fitted co-ordinate system is introduced while the finite difference method is used for solving the radiative transport equation. The governing equations which used are continuity, momentum and energy equations. These equations are normalized and solved using the Vorticity-Stream function. After validating numerical results for the case without radiation, the detailed radiatio

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Publication Date
Sun Jul 06 2025
Journal Name
Jordan Medical Journal
Enhancing Adherence and Satisfaction with Disease-Modifying Therapies in Multiple Sclerosis Through Pharmacist-Led Interventions: Interventional Study
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Background: Pharmacists are essential in treating MS. Pharmacists' involvement and patient consultation may improve patient adherence and satisfaction. Aim: To evaluate the influence of pharmacist-led interventions (PLI) on medication adherence and satisfaction in patients with multiple sclerosis receiving disease-modifying therapies (DMTs). Methods: This study was conducted on patients with relapsing-remitting multiple sclerosis who were receiving DMTs and attended a neurological consultant clinic in the medical city of Baghdad. It was a pre-post-intervention study. Each patient underwent two educational sessions: the first session took place at the beginning of the study, after completing the Arabic version of the treatment satisfaction q

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Publication Date
Sun Sep 22 2019
Journal Name
Baghdad Science Journal
A Molecular and Biochemical Study for Cholesteryl Ester Transfer Protein (CETP) Taq1B in Iraqi Patients with Hyperlipidemia
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Cholesteryl ester transfer protein gene contains some single nucleotide polymorphisms, which have been associated with serum high-density lipoprotein concentration and other lipoproteins. This study is done for determining of cholesteryl ester transfer protein polymorphism and evaluate its effect on serum lipid profile concentrations in some hyperlipidemic patients compared with healthy subjects in Salah Al-din governorate-Iraq. Blood samples were taken from (90) patients suffering from hyperlipidemia, and (70) samples that were apparently healthy controls.  Serum lipid concentrations were measured by enzymatic assays. The polymorphism was genotyped using polymerase chain reaction restriction fragment length polymorphism analysis.&n

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