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bsj-1121
Jordan ?-Centralizers of Prime and Semiprime Rings
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The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where ? be surjective endomorphism of R . It is also proved that if T(x?y)=T(x)??(y)=?(x)?T(y) for all x, y ? R and ?-centralizers of R coincide under same condition and ?(Z(R)) = Z(R) .

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Publication Date
Tue Nov 19 2024
Journal Name
Baghdad Science Journal
On En- Prime Compactly Packed Acts over Monoid
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في هذا العمل تم دراسة المقاسات الاولية من النمطEn المرصوصة المكتضة ودراسة  تعيم هذا المفهوم الى مفهوم الآثار الاولية من النمط En المرصوصة المكتضة حيث تم دراسة بعض العلاقات والتشخيصات الخاصة بهذه المفاهيم حيت تم برهنت العلاقات الخاصة بمفهوم المقاسات الاولية من النمط En المرصوصة المكتضة ليكن ₩ مقاس و كل مقاس جزئي  هو اولي من النمط  En  فان المقاس ₩ هو مقاس اولي من النمط En مرصوص مكتض اذا و فقظ اذا كل مقاس جزئي د

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Publication Date
Fri Mar 01 2024
Journal Name
Baghdad Science Journal
On Existence of Prime K-Tuples Conjecture for Positive Proportion of Admissible K-Tuples
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Number theorists believe that primes play a central role in Number theory and that solving problems related to primes could lead to the resolution of many other unsolved conjectures, including the prime k-tuples conjecture. This paper aims to demonstrate the existence of this conjecture for admissible k-tuples in a positive proportion. The authors achieved this by refining the methods of “Goldston, Pintz and Yildirim” and “James Maynard” for studying bounded gaps between primes and prime k-tuples. These refinements enabled to overcome the previous limitations and restrictions and to show that for a positive proportion of admissible k-tuples, there is the existence of the prime k-tuples conjecture holding for each “k”. The sig

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Publication Date
Fri Feb 09 2001
Journal Name
Molecular Crystals And Liquid Crysta
Synthesis and characterization of symmetrical liquid crystalline compounds based on oxazole and thaizole rings
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Twelve compounds containing a sulphur- or oxygen-based heterocyclic core, 1,3- oxazole or 1,3-thiazole ring with hydroxy, methoxy and methyl terminal substituent, were synthesized and characterized. The molecular structures of these compounds were performed by elemental analysis and different spectroscopic tequniques. The liquid crystalline behaviors were studied by using hot-stage optical polarizing microscopy and differential scanning calorimetry. All compounds of 1,4- disubstituted benzene core with oxazole ring display liquid crystalline smectic A (SmA) mesophase. The compounds of 1,3- and 1,4-disubstituted benzene core with thiazole ring exhibit exclusively enantiotropic nematic liquid crystal phases.

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Publication Date
Wed Jan 01 2020
Journal Name
Iop Conference Series: Materials Science And Engineering
Determination of naturally occurring radionuclides in Disi aquifer water of Jordan
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The Disi water samples were collected from different Disi aquifer wells in Jordan using a clean polyethylene container of 10-liter size. A hyper-pure germanium (HPGe) detector with high- resolution gamma-ray spectroscopy and a low background counting system was used for the identification of unknown gamma-rays emitting from radionuclides in the environmental samples. The ranges of specific activity concentrations of 226Ra and 228Ra in the Disi aquifer water were found to be from 0.302 ± 0.085 to 0.723 ± 0.207 and from 0.047 ± 0.010 to 0.525 ± 0.138 Bq L−1, with average values of 0.516 ± 0.090 and 0.287 ± 0.091 Bq L−1, respectively. The average combined radium (226Ra + 228Ra) activity and radium activity ratio (228Ra/226Ra) in Disi

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Publication Date
Thu Feb 01 2018
Journal Name
Iosr Journal Of Pharmacy And Biological Sciences
Synthesis, Characterization of Organic Derivatives Containing Heterocyclic Rings and Evaluation Their Antibacterial Activity
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Schiff bases (Sh1-Sh3) have been synthesized (p-aminophenol) was condensed with different aromatic aldehyde in ethanol inthe presence of glacial acetic acid as catalyst. These Schiff bases on treatment with monochloroacetyl choride gave 3-chloro-1-(4-hydroxyphenyl)-4-(substituted)azetidin-2-one(Az4-Az6), with αmercaptoacetic acid gave 3-(4-hydroxyphenyl)-2-( substituted)thiazolidin-4-one (Th7-Th9) and with anthranilic acid gave 3-(4-hydroxyphenyl)-2(substituted)-2,3-dihydroquinazolin-4(1H)-one (Qu10-Qu12). The purity of the derivatives was confirmed by TLC. The some compoundsidentify by (FT-IR and1H, 13C-NMR) data. Some of derivatives were evaluated activity against several microbesto determine ability to inhibit bacterial in some h

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Publication Date
Fri Aug 01 2008
Journal Name
2008 International Symposium On Information Technology
Algebraic strategy to generate pairwise test set for prime number parameters and variables
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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
Orthogonality of generalized G-m-derivations in semi-prime G-nearrings
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We introduced the nomenclature of orthogonal G -m-derivations and orthogonal generalized G -m-derivations in semi-prime G -near-rings and provide a few essentials and enough provision for generalized G -n-derivations in semi-prime G -near-rings by orthogonal.

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Publication Date
Wed Mar 18 2009
Journal Name
Molecular Crystals And Liquid Crystals
Synthesis and Mesomorphic Behavior of Some Novel Compounds Containing 1,3,4-Thiadiazole and 1,2,4-Triazole Rings
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Publication Date
Tue Oct 02 2018
Journal Name
Iraqi Journal Of Physics
Frustrated total internal reflection of newton rings multiple beam interference
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Frustrated Total Internal Reflection FTIR phenomenon is manifested employing Newton‟s rings setup generated via a coherent light beam of a laser diode ( . All concentric bright and dark rings, except the central bright spot, were noticed to recede (disappear) when the incident angle exceeded the critical angle of 41o.
It was also shown that the current setup has proven its applicability for other tests and can give convenient results that conform with theory. Neither the concept nor the design is beyond what can be realized in an undergraduate laboratory. However, technical improvements in mounting the prism - lens may be advisable. As an extension of the experiments, the effect can be studied using hollow prism filled with liquids

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Publication Date
Sat Mar 04 2006
Journal Name
Iraqi National Journal Of Chemistry
Synthesis a new series of azo compounds containing oxadiazole rings
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Some new 2,5-disubsituted-1,3,4-oxadiazole derivatives with azo group were synthesized by known reactions sequence . The structure of the synthesized compounds were confirmed by physical and spectral means .