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bsj-3018
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
Fri Dec 15 2023
Journal Name
Al-academy
The use of metal in ancient Syria in the manufacture of jewelry (ornamental tools in the third and second millennium BC and the molds used in their manufacture)
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 This research sheds light on the use of metal in the manufacture of jewelry, which is represented by ornamental tools in the period between the third and second millennium BC, in addition to the most important molds used in their manufacture. Man has been interested in metals since early ages, and was able to make tools that he uses in his daily life, especially jewelry. And the Syrian people got acquainted with the types of minerals, their characteristics, and how to deal with them. Minerals played an effective and prominent role in the economy of ancient Syria. Trade with those countries and secure their roads.

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Publication Date
Mon Dec 28 2020
Journal Name
Journal Of The College Of Education For Women
Preparing the Arabic Language Teacher for Non-Native Speakers, Following the Experience of the Arabic Language Institute at the International University of Africa: منى يوسف محمَّد وقيع الله
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The study aims to examine the reality of preparing the Arabic language teacher for non-native speakers by presenting the experience of the Arabic Language Institute at the International University of Africa. Thus, it addresses the following questions: How is it possible to invest the long scientific experiences in proposal and experiment preperations to qualify Arabic language teachers for non-native speakers? What is the reality of preparing an Arabic language teacher at the Institute? How did the Arabic Language Institute process teacher preparation? What are the problems facing the preparation of the Arabic language teachers and the most important training mechanisms used in that Institute?What problems faced the implementation of the

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Publication Date
Tue Jun 01 2021
Journal Name
Int. J. Nonlinear Anal. Appl.
Study of the dual ideal of ku-algebra
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In this work, we apply the notion of a filter of a KU-Algebra and investigate several properties. The paper defined some filters such as strong filter, n-fold filter and P-filter and discussed a few theorems and examples.

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Publication Date
Wed May 01 2019
Journal Name
Iop Conference Series: Materials Science And Engineering
Urban renewal of the historic centre of Rusafa
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Abstract<p>The historical centers represent the present of the past, which is embodied in its buildings and spaces, which are places of continuous life bearing the history of the city with all its material and objective dimensions, making it living centers that form an essential part of the body of the city and give it a vision for another time and it represents a cultural heritage that should be preserved and maintained. The research started from the reality that indicates the great change in the land uses of the region and the deterioration of the situation and change in use in addition to the neglect of its role and historical status, the study aims to study the subject of urban renewal of he</p> ... Show More
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Publication Date
Sun Dec 30 2012
Journal Name
College Of Islamic Sciences
A study of the hadiths of supplication orchestration
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A study of the hadiths of supplication orchestration

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Publication Date
Fri Jan 05 2024
Journal Name
Al-academy
Designs treatment of the internal spaces of pharmacies
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The pharmacy is the face for the health buildings and hospitals, The linking professional relationships and functional, it is been from the important places that most people go it, so according to that we must format its interior design in form that suitable with the need of most people use it or work in it, and this the search goal, dashing from the search subject which to hide finding designer treatment for the pharmacies interior spaces, to give share in the functional improvement performance or aesthetic. We define the search goals to share in educate the pharmacist in the effect of interior design for improvement of interior environment, in addition to the search consider as designer trying add to the other trying the interior desig

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Publication Date
Thu Mar 13 2025
Journal Name
Adab Al-rafidain
Guilt in The Condamned of ALtona of Sartre
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Drama "The Condamned of Altona" shows many different aspects of the 20th century. It contrasts strong, self-assured characters with weak, unsure ones to address absurdism and existentialism. Also, this piece shows the misery of the decade by showing Frantz, one of the play's heroes, taking his own life. Through suicide, disillusionment, and worry, the play depicts the upheaval of the 20th century, which was marred by numerous crises. The play's depiction of the jail and its inmates exemplifies the regret that accompanied the two world wars . Not only does guilt serve as a metaphor for the wrongs done by the Germans, but it also serves as a metaphor for the French inactivity during the occupation. And also the writers who did not devote thei

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Publication Date
Fri Jun 20 2025
Journal Name
Bulletin Of The Iraq Natural History Museum
INVESTIGATION OF MACROFUNGI IN THE MIDDLE OF IRAQ
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The study aimed to survey mushroom species from fields among herbs, palm trunks, and trees in central Iraq and to identify them on the basis of morphological and molecular characteristics. As a molecular identification result with polymerase chain reaction six species were recorded (with eight isolates): Agaricus bitorquis (Quéllt) Saccardo. 1887 (SHA14); Candolleomyces candolleanus (Fr.) D. Wächter & Melzer, 2020 (SHA15); Cyclocybe cylindracea (D.C.) Vizzini & Angelini, 2014 (SHA13); Leucoagaricus hesperius Vellinga, 2010 (SHA16); Volvariella sp. (SHA17), and Volvopluteus gloiocephalus (D. C.) Vizzini, Contu & Justo, 2011 (SHA10, SHA101 and SHA12), belonging to four families of Basidiomycetes: Agaricaceae, Pluteaceae,

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Publication Date
Sat Feb 02 2019
Journal Name
Journal Of The College Of Education For Women
THE EFFECT OF SPREACL of KNOWLEDGE ON ETHICS
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THE EFFECT OF SPREACL of KNOWLEDGE ON ETHICS

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
new Estimator of the parameter of negative exponential
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the main of this paper is to give a comprehensive presentation of estimating methods namely maximum likelihood bayes and proposed methods for the parameter

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