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π-Armendariz Rings and Related Concepts
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In this paper we investigated some new properties of π-Armendariz rings and studied the relationships between π-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, α-compatible rings and others. We proved that if R is a central Armendariz, then R is π-Armendariz ring. Also we explained how skew Armendariz rings can be ?-Armendariz, for that we proved that if R is a skew Armendariz π-compatible ring, then R is π-Armendariz. Examples are given to illustrate the relations between concepts.

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Publication Date
Thu Jan 01 2015
Journal Name
International Journal Of Optics And Applications
Modeling and Analysis of a Miniaturized Ring Modulator Using Silicon-Polymer-Metal Hybrid Plasmonic Phase Shifter. Part II: Performance Predictions
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The ring modulator described in part I of this paper is designed here for two operating wavelengths 1550nm and 1310nm. For each wavelength, three structures are designed corresponding to three values of polymer slot widths (40, 50 and 60nm). The performance of these modulators are simulated using COMSOL software (version 4.3b) and the results are discussed and compared with theoretical predictions. The performance of intensity modulation/direct detection short range and long rang optical communication systems incorporating the designed modulators is simulated for 40 and 100Gb/s data rates using Optisystem software (version 12). The results reveal that an average energy per bit as low as 0.05fJ can be obtained when the 1550nm modulator is d

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Publication Date
Thu Jan 01 2015
Journal Name
International Journal Of Optics And Applications
Modeling and Analysis of a Miniaturized Ring Modulator Using Silicon-Polymer-Metal Hybrid Plasmonic Phase Shifter. Part I: Theoretical Framework
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This paper presents comprehensive analysis and investigation for 1550nm and 1310nm ring optical modulators employing an electro-optic polymer infiltrated silicon-plasmonic hybrid phase shifter. The paper falls into two parts which introduce a theoretical modeling framework and performance assessment of these advanced modulators, respectively. In this part, analytical expressions are derived to characterize the coupling effect in the hybrid phase shifter, transmission function of the modulator, and modulator performance parameters. The results can be used as a guideline to design compact and wideband optical modulators using plasmonic technology

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Publication Date
Thu Nov 29 2018
Journal Name
Iraqi Journal Of Science
On Skew Left ∗-n-Derivations of ∗-Ring
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Publication Date
Thu Jun 08 2023
Journal Name
Egyptian Journal Of Chemistry
Ring Opining polymerization of caprolactone And Antibacterial activity by Mixed Ligand of Metal(II) and (III)
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Reaction of L1 [((E)-N1-(nitrobenzylidene)benzene-1,2-diamine] and L2( m-aminophenol), and one equivalent of di- or tri-valent metals(Cr(ӀӀӀ), Mn(ӀӀ), Fe(ӀӀӀ), Co(ӀӀ), Ni(ӀӀ), Cu(ӀӀ) and Zn(ӀӀ) afforded the complexes [M(L1)(L2)2]Cl, M=Cr(ӀӀӀ) and Fe(ӀӀӀ) and the complexes [M(L1)(L2)2] M= Mn(ӀӀ), Co(ӀӀ), Ni(ӀӀ), Cu(ӀӀ) and Zn(ӀӀ). The structure of the Schiff base ligand and their complexes are characterized by (C:H:N), FT.IR, UV.Vis, 1HNMR, 13CNMR and mass spectral. The presence of metal in the complexes are characterized by flame atomic absorption. The spectral data of the complexes have revealed the octahedral geometry. The (L1), (L2) and mixed ligand metal complexes were screened for their ability as cataly

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Publication Date
Sat Oct 01 2022
Journal Name
Baghdad Science Journal
On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring
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     This article introduces the concept of finitely null-additive set function relative to the σ– ring and many properties of this concept have been discussed. Furthermore, to introduce and study the notion of finitely weakly null-additive set function relative to the σ– ring as a generalization of some concepts such as measure, countably additive, finitely additive, countably null-additive, countably weakly null-additive and finitely null-additive. As the first result, it has been proved that every finitely null-additive is a finitely weakly null-additive. Finally, the paper introduces a study of the concept of outer measure as a stronger form of finitely weakly null-additive.

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Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Chromatic Number of Pseudo-Von neuman Regular Graph
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         Let R be a commutative ring , the pseudo – von neuman  regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if   , this graph denoted by P-VG(R) ,  in this work we got some new results a bout chromatic number of  P-VG(R).

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Publication Date
Thu Apr 28 2022
Journal Name
Iraqi Journal Of Science
On Intuitionistic Fuzzy bi- Ideal With respect To an Element of a near Ring
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In this paper we introduce the notions of bi-ideal with respect to an element r
denoted by (r-bi- ideal ) of a near ring , and the notion fuzzy bi- ideal with respect
to an element of a near ring and the relation between F-r-bi-ideal and r-bi-ideal of
the near ring, we studied the image and inverse image of r-bi- ideal under
epimomorphism ,the intersection of r-bi- ideals and the relation between this ideal
and the quasi ideal of a near ring, also we studied the notion intuitionistic fuzzy biideal
with respect to an element r of the near ring N, and give some theorem about
this ideal .

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Publication Date
Tue Jan 04 2022
Journal Name
Iraqi Journal Of Science
NILPOTENCY OF DERIVATIONS
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In this paper we show the nilpotency of nilpotent derivation of simeprime Γ-ring with characteristic 2 must be a power of 2 and we show the nilpotency of a nilpotent derivation of simeprime Γ-ring is either odd or a power of 2 without torsion condition.

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Publication Date
Mon Aug 26 2019
Journal Name
Iraqi Journal Of Science
U- S Jordan Homomorphisim of Inverse Semirings
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     Let S be an inverse semiring, and U be an ideal of S. In this paper, we introduce   the concept of U-S Jordan homomorphism of inverse semirings, and extend the result  of  Herstein on Jordan homomorphisms in inverse semirings.

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Publication Date
Tue Feb 01 2022
Journal Name
Iraqi Journal Of Science
P, P-L. Compact Topological Ring
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In this paper, we introduced some new definitions on P-compact topological ring and PL-compact topological ring for the compactification in topological space and rings, we obtain some results related to P-compact and P-L compact topological ring.

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