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Publication Date

Fri Jan 26 2024

Journal Name

Iraqi Journal Of Science

Volume

54

Issue Number

4Appendix

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Fully Principally Extending Module

Extending module

P-Extending

P-Continuous

P-Quasi-Continuous

fully invariant submodule

stable submodule

uniform module

closed submodule.

Emad

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In this work, We introduce the concepts of an FP-Extending, FP-Continuous and FP-Quasi-Continuous which are stronger than P-Extending, P-Continuous and P-Quasi-Continuous. characterizations and properties of FP-Extending, FP-Continuous and FP-Quasi-Continuous are obtained . A module M is called FP-Extending ( FP-Continuous, FP-Quasi-Continuous) if every submodule is P-Extending (P-Continuous, P-Quasi-Continuous) .

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Publication Date

Thu Apr 27 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On A Bitopological (1,2)*- Proper Functions

(1

2)*-proper functions

(1

2)*-perfect functions

(1

2)*-compact functions

(1

2)*-cluster points

(1

2)*- 2 T -spaces

(1

2)*-compactly closed sets and (1

2)*-K-spaces .

Sabiha I .

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In this paper, we introduce a new type of functions in bitopological spaces, namely, (1,2)*-proper functions. Also, we study the basic properties and characterizations of these functions . One of the most important of equivalent definitions to the (1,2)*-proper functions is given by using (1,2)*-cluster points of filters . Moreover we define and study (1,2)*-perfect functions and (1,2)*-compact functions in bitopological spaces and we study the relation between (1,2)*-proper functions and each of (1,2)*-closed functions , (1,2)*-perfect functions and (1,2)*-compact functions and we give an example when the converse may not be true .

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Publication Date

Sun Jan 01 2023

Journal Name

International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021

Fibrewise slightly topological spaces

fibrewise slightly closed topological spaces

fibrewise slightly open topological spaces

fibrewise slightly locally sliceable and fibrewise locally slightly sectionable topological spaces.

Mohammed G.

Y. Y.

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Publication Date

Sat Oct 01 2022

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

On Fibrewise Fuzzy Topological Spaces

fibrewise j-closed fuzzy topological spaces

fibrewise j-open fuzzy topological spaces

fibrewise locally sliceable fuzzy j-topological spaces and fibrewise locally sectionable fuzzy j-topological spaces.

M. A.

Y. Y.

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The aim of this research is to study some types of fibrewise fuzzy topological spaces. The six major goals are explored in this thesis. The very first goal, introduce and study the notions types of fibrewise topological spaces, namely fibrewise fuzzy j-topological spaces, Also, we introduce the concepts of fibrewise j-closed fuzzy topological spaces, fibrewise j-open fuzzy topological spaces, fibrewise locally sliceable fuzzy j-topological spaces and fibrewise locally sectionable fuzzy j-topological spaces. Furthermore, we state and prove several Theorems concerning these concepts, where j={δ,θ,α,p,s,b,β} The second goal is to introduce weak and strong forms of fibrewise fuzzy ω-topological spaces, namely the fibrewise fuz

Publication Date

Mon Apr 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On SAH â€“ Ideal of BH â€“ Algebra

BH â€“ algebra

SAH â€“ ideal of BH â€“ algebra

closed SAH â€“ ideal with respect to an element of BH â€“ algebra

(SAH) Ì… â€“ideal .

Alaa Saleh

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The aim of this investigation is to present the idea of SAH â€“ ideal , closed SAH â€“ ideal and closed SAH â€“ ideal with respect to an element , and s- of BH â€“ algebra .

We detail and show theorems which regulate the relationship between these ideas and provide some examples in BH â€“ algebra .

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Publication Date

Wed Nov 30 2022

Journal Name

Iraqi Journal Of Science

New Generalizations of Soft LC-Spaces

Soft K(NpC)-space

soft L(NpC)-space

soft F ̃_σ-Np-closed set

soft NpL_k- spaces

for k=1

2

3

4

soft NP-space

soft NpQ-set space

Haider Juber

Sabiha I.

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In this article, we introduce a new type of soft spaces namely, soft spaces as a generalization of soft paces. Also, we study the weak forms of soft spaces, namely, soft spaces, soft spaces, soft space, and soft spaces. The characterizations and fundamental properties related to these types of soft spaces and the relationships among them are also discussed.

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(1)

Publication Date

Fri Jul 01 2022

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

Fibrewise Slightly Topological Spaces and Their Generalizations

fibrewise slightly topological spaces

fibrewise slightly closed

fibrewise slightly open

fibrewise locally sliceable

fibrewise locally sectionable slightly topological spaces

slightly compact fibrewise slightly topological spaces

connected fibrewise slightly topological spaces.

MOHAMMED GATEA

Y. Y.

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The aim of this thesis is to introduce a new concept of fibrewise topological spaces which is said to be fibrewise slightly topological spaces. We generalize some of the main results that have been reached from fibrewise topology into fibrewise slightly topological space. We introduce the concepts of fibrewise slightly closed, fibrewise slightly open, fibrewise locally sliceable, and fibrewise locally sectionable slightly topological spaces. Also, state and prove several propositions related to these concepts. On the other hand, extend separation axioms of ordinary topology into fibrewise setting. The separation axioms are said to be fibrewise slightly T_0 spaces, fibrewise slightly T_1 spaces, fibrewise slightly R_0 spaces, fibrewise s

Publication Date

Mon Aug 16 2021

Journal Name

Al-qadisiyah Journal Of Pure Science

Pairwise Lower Separation Axioms in C ̌ech Fuzzy Soft Bi-Closure Spaces

Fuzzy soft set

fuzzy soft closure operator

closed fuzzy soft set

fuzzy soft bitopological space

pairwise 〖 T〗_0

pairwise T_1

pairwise〖 T〗_2

pairwise semi〖 T〗_2

pairwise pseudo〖 T〗_2

pairwise Uryshon 〖 T〗_2.

Mohamad Th.

R. N.

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The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined and studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pairwise pseudo and pairwise Uryshon) - fs bicsp's are introduced and studied in both ech fuzzy soft bi-closure space and their induced fuzzy soft bitopological spaces. It is shown that hereditary property is satisfied for , with respect to ech fuzzy soft bi-closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft bi-closure space.

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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

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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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(2)

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

Sun Dec 07 2014

Journal Name

Baghdad Science Journal

Synthesis, Characterization and Stability Study of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) Complexes with Pyrazol Derivative

In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate

which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV)

Zr(IV)

Rh(III)

Pd(II)

Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1

2) were characterized by FT-IR and UV spectroscopy

as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N)

flame atomic absorption technique

FT-IR and UV-Vis spectroscopy

in addition to magnetic susceptibility and conductivity measurements. Metal to ligand [M:L] ratio was obtained for all complexes in ethanol using molar ratio method

which gave comparable results with those obtained for the solid complexes. As well as the appa

Sinan M.

Enaam M.

Maysoon A

Sarab M

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In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate, which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1, 2) were characterized by FT-IR and UV spectroscopy, as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N), flame atomic absorption technique, FT-IR and UV-Vis spectroscopy, in additio

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