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The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS
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In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields  into the sets  Jacobsons results shows that  and Sliwa confirm that  and  are the only real quadratic fields in .

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Publication Date
Thu Jan 25 2024
Journal Name
Entrepreneurship Journal For Fiinance And Business
The role of psychological ownerships' dimensions in deterring the effects of toxic leadership: Analytical research in some companies at the Ministry of Industry and Minerals in Iraq
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The research aims to clarify the role that psychological ownership, through its dimensions, plays in deterring the effects of toxic leadership, through its dimensions, in the Ministry of Industry and Minerals. The research started with a basic problem represented by the following question: "Using psychological ownership and its application in deterring the negative effects of toxic leadership." The research used the descriptive-analytical method. The sample was randomly selected from workers in some selected companies affiliated with the Ministry of Industry and Minerals in Baghdad, and the sample size reached 124 individuals. One of the most important results is that there is an effect of the psychological ownership variable, based on the

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Publication Date
Sun Jul 01 2018
Journal Name
Journal Of Educational And Psychological Researches
The effect of constructivist model of yager in acquiring the geographical concepts among first intermediate students in geography
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The purpose of the study is to investigate the effect of the constructivist model of yager in acquiring the geographical concepts among first intermediate students in geography. The study was carried on based on the null hypothesis, which states, there is no significant difference at the level of (0.05) between the experimental group that follows yager model in learning the principles of geography, and the control group that studies the same subject considering the traditional methods of learning, the. To do so, a sample of (70) first-intermediate student were chosen purposefully from two random class for the academic year (2016-2017) divided into two groups. The selected schools located at Al-rusafa side in the city of Baghdad, as well

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Publication Date
Thu Jan 29 2026
Journal Name
Journal Of Baghdad College Of Dentistry
In vivo immunohistochemical investigation of the effect of the topical application of growth hormone on the osseointegration of cpTi implant
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Background: Dental implants are a suitable option for the replacement of some or all missing teeth. The successful insertion of a biocompatible material into living tissue with little to no evidence of rejection has revolutionized medicine and dentistry. An increase in bone response was observed with local administration of growth hormone around dental implants. Growth hormone may act as a bone stimulant in the placement of endosseous dental implants and enhances osseointegration. The aim of the study was to evaluate immunohistochemically the effect of the topical application of growth hormone on the osseointegration of cpTi implant. Materials and Methods: Eighty titanium screw implants were inserted in the tibia of the forty adult rabbits.

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Publication Date
Wed Aug 16 2023
Journal Name
Journal Of Humanities And Social Sciences Research
The impact of the use of hydromassage rehabilitation exercises on the recovery of certain motor potentials of knee roughness sufferers
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The research included the introduction to the research and its importance as knee joint is an important joint in the human body that is prone to injury. One such injury is knee roughness injury that occurs as a result of the stress of the knee joint and age. The importance of examining the need for the use of rehabilitation exercises, especially in the watercourse system, is highlighted by the fact that the aquatic environment is one of the most important factors helping to alleviate pain and rehabilitate the knee joint and thereby improve the mobility of those with knee roughness. The problem of research is that rehabilitation exercises have been developed in the watercourse system on the basis of scientific bases with a repetitive and sys

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Publication Date
Sun Apr 06 2014
Journal Name
Journal Of Educational And Psychological Researches
Spiritual intelligence in a sample of students from the University of Baghdad in the Light of some of the variables
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The research aims to identify intelligence spiritual among a sample of students Baghdad University as well as to identify the differences between students in intelligence spiritual according to variable type (male - female), and variable area of ​​study (Science - a human) and variable (First grade - fourth grade), The research sample consisted of (300) students, were applied scale search - a spiritual Intelligence Scale (prepared by the researcher), has resulted in the search results for: -

The students of the University of Baghdad (sample) enjoyed a high level of spiritual intelligence.
- There are no differences between males and females in the spiritual intelligence.
- There

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Publication Date
Tue Nov 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
The Impact of the Financial Reporting of Liabilities and Assets of Deferred Income Tax in the quality of Accounting Information
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Abstract

The research problem Focused about extent adoption of the financial reporting obligations and assets of the deferred income tax attributable to the concepts of accounting theory and whether the tax laws or accounting principles as well as local accounting rules to recognize the obligations and assets of deferred income tax in the financial statements, and what is the impact of the financial reporting of liabilities and assets Deferred tax in the quality of accounting information, and research aims to the statement of the accounting concepts of the theory of financial reporting obligations and assets of deferred income tax, view and analyze the differences in reporting, resulting from a discrepanc

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Publication Date
Thu Jun 27 2019
Journal Name
Journal Of The College Of Education For Women
The Background of the siffing Arbitration Agreement
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It is important to set the background of stiffen arbitration agreement, to understand the real reasons of the fighting. When the Syrians began to lose, raised the masahif and made their announcement, most the qurrar, and so no need to continued fighting.

            In their view all that remained was the matter of drawing up formal peace with Ali, Muamiya; Ali would recognize as Amir al-muminin by both Syrian and Iraqis.

            The most of the Iraqisfavored settlement for different persons, for example-A'shath, the most power full of the clan leaders of Rabia, his interest by insuring that neither Ali nor Mu

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Publication Date
Wed Oct 05 2016
Journal Name
Al-academy
The concept of rhythm in the play
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The training of great importance in the play, in building optic and intellectual broadcast codes tags, and then comes after the recipient at the reception of such codes and decoded tags, and is the rhythm, the color of the most important elements of configuration, consistent with other elements, Kaltmathl, and focus, and harmony, and dissonance

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Publication Date
Thu Jun 29 2017
Journal Name
College Of Islamic Sciences
The verbal opinions of the Najjar band
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This research is a study in which the researcher follows the al-Najjariya sect, which is attributed to Abi Abdullah al-Hussain bin Muhammad bin Abdullah al-Najjar, who died around (220 AH) and aims to:

1- Finding out the time of the emergence of this sect, and removing the confusion as to whether it was from the origins of the sects, or just an independent sect, or affiliated with one of the famous sects.

2- Standing on the most prominent theological opinions adopted by this sect, and in which of them did the Mu'tazila sect agree, and in which of them did the Sunnis and the community agree.

3- Statement of the most prominent sects that branched out from this sect.

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Publication Date
Sun Apr 03 2016
Journal Name
Journal Of Educational And Psychological Researches
The Advancement of the Educational Process Requirements
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Education represents a different their areas, especially after the educational cornerstone of Staff of the community in which young person’s that can stand up and shared the overall development process.

            In order for education to be effective in the community, there is a need to develop to cope with the process development of civilization and modern technology. And for that to be achieved the goal of current research to stand on the advancement of the educational process through Knowledge of educational strategies that had previously requirements put forward for the development of educational process as well as through Knowledge of the mo

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