The left-right derivation of an AT-algebra

Rana Noori Majeed; Fatema Kareem

doi:10.1063/5.0264925

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Publication Date

Thu Apr 03 2025

Journal Name

Aip Conference Proceedings

Volume

3282

Issue Number

1

DOI

10.1063/5.0264925

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The left-right derivation of an AT-algebra

an AT-algebra

a derivation

a fuzzy derivation

a level derivation.

Rana Noori Majeed

Fatema Kareem

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This work aims to introduce the concepts of left and right derivations in an AT-algebra and discuss some interesting theorems of these concepts. Also, a fuzzy derivation of an AT-subalgebra, a fuzzy right (left) derivation ideal, a fuzzy derivation of AT-subalgebra, and a fuzzy right (left) derivation ideal are studied. Finally, a level derivation of AT-algebras is defined and some propositions are achieved.

Publication Date

Fri Dec 19 2014

Journal Name

Journal Of Advances In Mathematics

LEFT FIXED MAPS AND -DERIVATIONS OF KU-ALGEBRA

Samy M.

Fatema F.

...Show More Authors

Publication Date

Thu Oct 06 2022

Journal Name

2022 9th International Conference On Electrical Engineering, Computer Science And Informatics (eecsi)

On the Performance of a Composite Right Left Hand Electromagnetic Bandgap Structure

microwave

5G NL

LTE

Rana Riad K.

Mustafa Mahdi

Omar Almukhtar

Yasir

Hind Salim

Noor M.

Taha A.

...Show More Authors

This paper presents the design and analysis of composite right left hand (CRLH) electromagnetic bandgap (EBG) structure. The proposed unit cell is consistent of a dielectric substrate with dimensions of 5×5×1 mm 3 made of FR4-Epoxy with εr = 4.4 underneath of a conductive patch with dimensions of 4.4×4.4mm 2 . The unit cell is structured to perform a negative permittivity (ε) and negative permeability (µ) in different bands. The proposed unit cell is developed to 5G systems in the sub-6GHz bands. In this work, a complete analysis of the unit cell in terms of Sparameters, constitutive parameters and refraction index are evaluated using HFSS simulation package based on Finite Element Method (FEM).

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Publication Date

Mon Jan 01 2024

Journal Name

Baghdad Science Journal

On Semigroup Ideals and Right n-Derivation in 3-Prime Near-Rings

Generalized right derivations

Prime near-ring

Right derivations

Right n –derivations

Semigroup ideals

Enaam

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The current paper studied the concept of right n-derivation satisfying certified conditions on semigroup ideals of near-rings and some related properties. Interesting results have been reached, the most prominent of which are the following: Let M be a 3-prime left near-ring and A_1,A_2,…,A_n are nonzero semigroup ideals of M, if d is a right n-derivation of M satisfies on of the following conditions,
d(u_1,u_2,…,(u_j,v_j ),…,u_n )=0 ∀ 〖 u〗_1 〖ϵA〗_1 ,u_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n ϵA〗_u;
d((u_1,v_1 ),(u_2,v_2 ),…,(u_j,v_j ),…,(u_n,v_n ))=0 ∀u_1,v_1 〖ϵA〗_1,u_2,v_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n,v_n ϵA〗_u ;
d((u_1,v_1 ),(u_2,v_2 ),…,(u_j,v_j ),…,(u_n,v_n ))=(u_

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Publication Date

Fri May 01 2020

Journal Name

Journal Of Physics: Conference Series

Hyper AT-ideal on AT-algebra

Areej

Fatema F.

Saba

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Abstract<p>In this paper is to introduce the concept of hyper AT-algebras is a generalization of AT-algebras and study a hyper structure AT-algebra and investigate some of its properties. “Also, hyper AT-subalgebras and hyper AT-ideal of hyper AT-algebras are studied. We study on the fuzzy theory of hyper AT-ideal of hyper AT-algebras hyper AT-algebra”. “We study homomorphism of hyper AT-algebras which are a common generalization of AT-algebras.</p>

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Publication Date

Mon Feb 01 2021

Journal Name

Journal Of Physics: Conference Series

Hyper Fuzzy AT-ideals of AT-algebra

Saba Hussein

Fatema F.

Areej Tawfeeq

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Abstract<p>The aim of this paper is to introduce the notion of hyper fuzzy AT-ideals on hyper AT-algebra. Also, hyper fuzzy AT-subalgebras and fuzzy hyper AT-ideal of hyper AT-algebras are studied. We study on the fuzzy theory of hyper AT-subalgebras and hyper AT-ideal of hyper AT-algebras. Furthermore, the fuzzy set theory of the (weak, strong, s-weak) hyper fuzzy ATideals in hyper AT-algebras are applied and the relations among them are obtained.</p>

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Publication Date

Thu Jan 01 2015

Journal Name

Aip Conference Proceedings

Performance measurements of single server fuzzy queues with unreliable server using left and right method

centroid formula

centroid formula integration

CFI

fuzzy assignment models

FAMs

optimal solution

Opt. Sol.

Pascal's triangle graded mean

PT-GM

pentagonal fuzzy numbers

PFNs.

Zeina

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The fuzzy assignment models (FAMs) have been explored by various literature to access classical values, which are more precise in our real-life accomplishment. The novelty of this paper contributed positively to a unique application of pentagonal fuzzy numbers for the evaluation of FAMs. The new method namely Pascal's triangle graded mean (PT-GM) has presented a new algorithm in accessing the critical path to solve the assignment problems (AP) based on the fuzzy objective function of minimising total cost. The results obtained have been compared to the existing methods such as, the centroid formula (CF) and centroid formula integration (CFI). It has been demonstrated that operational efficiency of this conducted method is exquisitely develo

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Publication Date

Mon Apr 01 2019

Journal Name

World Heart Journal

Echocardiographic Evaluation of the Right Ventricular Function in a Sample of Iraqi Patients with Left Ventricular Dysfunction

Right ventricular dysfunction

left ventricular dysfunction

myocardial performance index

tricuspid annular plane systolic excursion.

Marwah Qasim

Muataz Fawzi

Samar I.

Yaarub Shawkat

Ammar A.

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Background: Assessment of function of the right side of the heart in cases of left ventricular dysfunction has been widely studied but the sensitive and specific echocardiographic parameter to be tested is still a matter of controversy. Right ventricular function is related to left ventricular function by ventricular independence so function of both should be assessed carefully. The objective of this study was to evaluate the effects of left ventricular systolic dysfunction on right ventricular systolic and diastolic functions and pulmonary pressure using conventional and tissue Doppler echocardiography. Patients and Methods: Sixty patients (39 males and 21 females) with heart failure due to left ventricular systolic dysfunction

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Publication Date

Fri Dec 15 2017

Journal Name

Journal Of Baghdad College Of Dentistry

Comparison of periodontal health status in relation to IQ in right- and left handed individuals

Nada K.

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Background: Periodontal disease (PD) is a chronic inflammatory condition characterized by destruction of supporting structures of the teeth. Intelligence quotient (IQ) was potentially reported to significantly associated with prevalence of gingivitis. Mild gingivitis was obtained in high IQ levels while moderate gingivitis may be attributed to poor oral hygiene seen among the subjects having low IQ levels. Method: One hundred volunteers aged between 20-45 years old were enrolled in this study, patients were equally divided into right- and left-handed (50 patients each)and each group then subdivided into patients with healthy gingiva(10), patients with gingivitis (20), and patients suffering from periodontitis (20).An IQ questionnaire was p

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Publication Date

Sun Jun 01 2014

Journal Name

Baghdad Science Journal

On Higher N-Derivation Of Prime Rings

derivation

Jordan ideal

higher derivation

prime ring.

Anwar K.

Abdulrahman H.

...Show More Authors

The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char. 2, U be a Jordan ideal of R and be a higher N-derivation of R, then , for all u U , r R , n N .

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Publication Date

Fri Jul 29 2022

Journal Name

Journal For Vascular Ultrasound

A Comparative Study of the Right and Left Carotid Arteries in Relation to Age for Patients With Diabetes and Hypertension

Introduction: Age

hypertension

and diabetes can cause significant alterations in arterial structure and function

including changes in lumen diameter (LD)

intimal-medial thickness (IMT)

flow velocities

and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers

and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patients with hypertension and diabetes for 2 age groups. Methods: We studied 250 patients with both diabetes and hypertension. Patients were divided into 2 age groups with the old age group being 56 to 75 years and the young age group 35 to 55 years. The bilateral common carotid and internal carotid arteries were evaluated with B-mode ultrasound and Doppler examinations. The LD and IMT were measured for both common carotid arteries

and spectral waveform parameters and indices were recorded for both internal carotid arteries. Results: The difference in LD between the left and right common carotid arteries for the old age group was 11.64% and for the young age group was 6.42%

with significant P values of <.05 for both age groups. The difference in IMT between the left and right common carotid arteries was 18.27% in the old age group compared with 15.38% in the young age group

with significant P values of <.05. There was a difference in peak systolic velocity between the left and right internal carotid arteries of 4.85% in the old age group which was not significant

compared with 14.28% in the young age group with a significant P value <.05

whereas the difference in end-diastolic velocity between the left and right internal carotid arteries was not significant for both age groups. Differences between the right and left internal carotid arteries for resistive index

pulsatility index

and pressure gradient were significant only in the young age group. Conclusion: We found significant differences between the right and left common carotid and internal carotid arteries in patients with diabetes and hypertension which were more prominent in the young age group. Values for common carotid IMT and LD were significantly higher in the left common carotid artery versus the right common carotid artery in both age groups. Differences between the 2 carotid sides may be attributed to anatomic variations in the common carotid artery origins which lead to differences in stress between the 2 sides

Ahmed Abduljabar

Samar I.

Anmar Z

...Show More Authors

Introduction:

Age, hypertension, and diabetes can cause significant alterations in arterial structure and function, including changes in lumen diameter (LD), intimal-medial thickness (IMT), flow velocities, and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers, and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patient

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