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Publication Date

Tue Mar 14 2023

Journal Name

Iraqi Journal Of Science

Volume

56

Issue Number

3C

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On Two Sided -n-Derivations in Prime near – Rings

prime near-ring

semi group ideal

derivation

n-derivation

two sided α- derivation

two sided α-n-derivation

Abdulahman H.

Enaam

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In this paper, we investigate prime near – rings with two sided α-n-derivations
satisfying certain differential identities. Consequently, some well-known results
have been generalized. Moreover, an example proving the necessity of the primness
hypothesis is given.

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Publication Date

Sun Mar 01 2015

Journal Name

Baghdad Science Journal

S-maximal Submodules

Maximal submodules

S-maximal submodules

Almost maximal submodules

Semimaximal submodules

Semi essential submodules and Jacobson radical of modules.

د.

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Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ⊊ W ⊆ M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of rings

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Publication Date

Sat Feb 27 2021

Journal Name

Iraqi Journal Of Science

Efficient Iterative Methods for Solving the SIR Epidemic Model

SIR epidemic model

Semi-analytical method

Daftardar-Jafari method

Temimi-Ansari method

Banach contraction method

Maximum error remainder

Sawsan Mohsin

Majeed Ahmed

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In this article, the numerical and approximate solutions for the nonlinear differential equation systems, represented by the epidemic SIR model, are determined. The effective iterative methods, namely the Daftardar-Jafari method (DJM), Temimi-Ansari method (TAM), and the Banach contraction method (BCM), are used to obtain the approximate solutions. The results showed many advantages over other iterative methods, such as Adomian decomposition method (ADM) and the variation iteration method (VIM) which were applied to the non-linear terms of the Adomian polynomial and the Lagrange multiplier, respectively. Furthermore, numerical solutions were obtained by using the fourth-orde Runge-Kutta (RK4), where the maximum remaining errors showed th

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(4)

Publication Date

Wed Oct 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Some Games with Soft -á¶…-Pre-Generalized Open Sets

Soft ideal

Soft-Æ®_i-space

Soft-á¶…-pre-g-Æ®_i-space

Åžá¶ƒ(Æ®_i

Ó¼

á¶… ). Where i= {0

1

2}

Hammood A.

Esmaeel R.

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In this paper, the concept of soft closed groups is presented using the soft ideal pre-generalized open and soft pre-open, which are -á¶…- - -closed sets " -closed", Which illustrating several characteristics of these groups. We also use some games and - Separation Axiom, such as (Æ®_0, Ó¼, á¶…) that use many tables and charts to illustrate this. Also, we put some proposals to study the relationship between these games and give some examples.

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Publication Date

Sun Sep 29 2019

Journal Name

Iraqi Journal Of Science

Strongly and Semi Strongly E_h-b-Vex Functions: Applications to Optimization Problems

E-convex functions

strongly E-convex set

strongly E_h-b-vex sets

strongly E_h-b-vex functions

semi strongly E_h-b-vex functions

Saba Nasser

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In this paper, we propose new types of non-convex functions called strongly --vex functions and semi strongly --vex functions. We study some properties of these proposed functions. As an application of these functions in optimization problems, we discuss some optimality properties of the generalized nonlinear optimization problem for which we use, as an objective function, strongly --vex function and semi strongly --vex function.

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(2)

(1)

Publication Date

Sun May 14 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Annsemimaximal and Coannsemimaximal Modules

: Annsemimaximal module

semisimple module

semisimple ring

semiprime module

max-module

uniform module

Z-regular module

F-regular module

Artinian module

flat module

coprime module

coannsemimaximal module.

I. M.A.

, H. Y.

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Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp. coannsemimaximal) if ann_RN (resp. ) is semimaximal ideal of R for each nonzero submodule N of M.

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Publication Date

Wed Jan 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Î±g_á»Š-open sets and Î±g_á»Š-functions

Î±g_á»Š-closed set

Î±g_á»Š O-functions

Î±g_á»Š C-functions

Î±g_á»Š-continuous function

Strongly Î±g_á»Š-continuous function

Î±g_á»Š-irresolute function

ideal.

Sufyan

R.

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The objective of this paper is to show modern class of open sets which is an -open. Some functions via this concept were studied and the relationships such as continuous function strongly -continuous function -irresolute function -continuous function.

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Publication Date

Thu Jun 30 2022

Journal Name

Journal Of Economics And Administrative Sciences

Comparing Some of Robust the Non-Parametric Methods for Semi-Parametric Regression Models Estimation

Semi-Parametric Regression

M-Estimation

S-Estimation

Robust Semiparametric Methods

Nonparametric Estimation Method

Kernel Method.

طريقة M-estimation

طريقة S-estimation

انموذج الانحدار شبه المعلمي

طرائق التقدير الحصينة

طرائق التقدير اللامعلمية الحصينة

طريقة Kernel

Zahraa

Husam

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In this research, some robust non-parametric methods were used to estimate the semi-parametric regression model, and then these methods were compared using the MSE comparison criterion, different sample sizes, levels of variance, pollution rates, and three different models were used. These methods are S-LLS S-Estimation -local smoothing, (M-LLS)M- Estimation -local smoothing, (S-NW) S-Estimation-NadaryaWatson Smoothing, and (M-NW) M-Estimation-Nadarya-Watson Smoothing.

The results in the first model proved that the (S-LLS) method was the best in the case of large sample sizes, and small sample sizes showed that the

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Publication Date

Mon Jan 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

CONVERGENCES VIA áº›Ù€ PREÙ€ gÙ€ OPEN SET

: Ideal

separation axioms

áº› Ù€pre Ù€g Ù€open set

áº› Ù€pre Ù€g Ù€closed set

áº›Ù€pre Ù€gÙ€ Convergent

áº› Ù€pre Ù€g Ù€open function

áº› Ù€pre Ù€g Ù€cotinuous function.

Ahmed A.

R. B.

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The main aim of this paper is to use the notion which was introduced in [1], to offered new classes of separation axioms in ideal spaces. So, we offered new type of notions of convergence in ideal spaces via the set. Relations among several types of separation axioms that offered were explained.

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Publication Date

Fri Mar 01 2019

Journal Name

Applied Acoustics

Theoretical model of absorption coefficient of an inhomogeneous MPP absorber with multi-cavity depths

Micro-perforated panel (MPP) absorber has been known as an alternative absorber to classical porous material given its facile installation

long durability

environmental friendliness and attractive appearance. Extensive studies of MPP absorber proposing the improvement of its absorption frequency bandwidth have been published. This study presents a MPP absorber introduced with inhomogeneous perforations and with multi-cavity depths. The MPP is divided into two sub-area

where each area has different hole diameter

perforation ratio and a separated backed cavity depth. The acoustic impedance is modelled using electrical equivalent circuit and the absorption coefficient is calculated under normal-incidence of sound. It is found that the inhomogeneous MPP can have good bandwidth of absorption by designing the sub-MPP of smaller perforation ratio with large hole diameter and the one having the larger perforation ratio with smaller hole diameter. The absorption bandwidth can be conveniently controlled by adjusting the cavity depth of each sub-MPP. The results from the experimental work show good agreement with the theoretical model.

Ali Ibrahim

Azma

Roszaidi

Iwan

Al-Ameri

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Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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