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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
Wed Jul 07 2010
Journal Name
Al-mustansiriya J. Sci
Synthesis and Spectroscopic Studies of New Heterocyclic Azo Dye and Their Complexes with Selected Metal Ion
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Coupling reaction of 4-aminoantipyrene with 8-hydroxyqunoline gave the new bidentate azo ligand 5-(4-antipyrene azo)-8-hydroxyqunoline. Treatment of this ligand with the following metals ions (MnII, CoII, NiII, CuII and ZnII) in aqueous ethanol with a 1:2 M:L ratio yielded a series of neutral complexes of the general formula [M(L)2Cl2]. The prepared complexes were characterized using flame atomic absorption, FT.IR, UV-Vis spectroscopic as well as magnetic susceptibility and conductivity measurements. Chloride ion content were also evaluated by (Mohr Method). From above data, the proposed molecular structure for these complexes as octahedral geometry.

Publication Date
Sat Jun 01 2024
Journal Name
Applied Thermal Engineering
Design and optimization of a household photovoltaic/thermal collector with serpentine tube: Energy and exergy analysis
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Publication Date
Tue Mar 01 2011
Journal Name
Journal Of Kufa For Chemical Science
systhesis,spectral and kinetic of N2O2macrocycle ligand with divalent metal ions ( Co , Ni and Cu ) complexes
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Publication Date
Thu Jan 01 1970
Journal Name
Journal Of Biotechnology Research Center
Diagnostic values of serum IL-17A and IL-18 in Rheumatoid arthritis and Correlation with treatment
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Background: Rheumatoid arthritis (RA) is an autoimmune disorder that involves autoantibodies attacking and weakening joints. RA is characterized by leukocyte (Monocyte, Lymphocyte mast cell .etc) infiltrations into the synovial compartment leading to inflammation in the synovial membrane.   Synovitis leads to the release of pro-inflammatory cytokines, matrix metalloproteinases, chemokines, complement proteins, and growth factors. Objective: The current study pointed to verify the diagnostic values of interleukin -17 A and interleukin -18 in Rheumatoid arthritis (RA) patients and the effect of treatment thereon. Study subjects and methods: A total of 88 samples with RA were selected from the health clinics of AL-Yarmouk

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Publication Date
Wed Jul 01 2026
Journal Name
Journal Of Materials In Civil Engineering
Optimum Proportions and Properties of Foamed Concrete Made with Waste Plastic as Fine and Coarse Aggregate
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This research aimed to explore the use of foamed concrete (FC), a lightweight concrete, by replacing sand with crushed plastic from washing machines to improve environmental and thermal properties. The primary components included traditional materials like cement, water, and a foaming agent, along with the innovative use of waste plastic (WP). Utilizing Minitab software, the study applied the Response Surface Method to optimize mix designs, reducing the experimental mixtures to 31, which were then tested for dry density, porosity, water absorption, shrinkage, compressive strength, splitting tensile strength, and thermal conductivity. Results indicated a significant 24% reduction in dry density when using plastic as fine and coarse aggregate

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Publication Date
Mon Dec 20 2021
Journal Name
Baghdad Science Journal
Anemia and The Level of IL-6 in Children Infected with Entamoeba histolytica and Giardia lamblia
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The relation between anemia and inflammatory immune response has lately had much attention. This research was conducted from October 2018 until April 2019, including  (110) children below 12 years from both gender in some Hospitals, Primary Health care centers, Public Primary Schools and Kindergarten in Baghdad, Iraq. The objective of this study is to determine the possible correlation between iron deficiency anemia and inflammatory immune response  among children infected with Entamoeba  histolytica or Giardia  lamblia. Blood samples were taken from all groups to measure  hemoglobin level, serum iron, total iron binding capacity (TIBC), mean corpuscular volume (MCV), and mean corpuscular  hemoglobin concentration

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Publication Date
Fri Oct 01 2021
Journal Name
Applied Thermal Engineering
Simultaneous and consecutive charging and discharging of a PCM-based domestic air heater with metal foam
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Publication Date
Mon Jan 01 2018
Journal Name
International Journal Of Agricultural And Statistical Sciences
Response of growth and yield of zea maize for foliar spraying with humic acid
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Publication Date
Thu Apr 01 2021
Journal Name
Biochemical And Cellular Archives
Design, Synthesis and Antibacterial Evaluoation of mutual Prodrugs of Antioxidants With Different quinolone Antibiotics
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Publication Date
Mon Jun 01 2015
Journal Name
Journal Of Engineering
Variation of Compression Index and Swelling Index with Degree of Saturation in Unsaturated Soils
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The variation of compression index Cc and swelling index Cs with the degree of saturation S was studied on unsaturated and fully saturated soils for different degrees of saturation (100%, 91%, 85%, 75%, 60%), several mathematical equations were found to describe these relationships, these equations can be used to predict settlement during the consolidation process in unsaturated and fully saturated soils.

 

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