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 .

Recently, several concepts and expressions have emerged that have often preoccupied the world . around the concept of environment and sustainability. This is due to the negative and irresponsible impact of man and his innovations in various industrial and technological fieldsthat have damaged the natural environment. Architecture and cities at the broader level are some of the man made components that caused these negative impacts and in the same time affected by them. What distinguishes architectural and urban projects is the consumption of large . quantities of natural resources and production larger amounts of waste and pollution, along the life of these projects. At the end of the twentieth century and the beginning of the twenty-fir

Research Summary

Praise be to God, and may blessings and peace be upon the Messenger of God. As for:

The Noble Qur’an is the constitution of life, and a comprehensive educational approach that deals with individuals comprehensively, as it organizes worldly and eschatological life, and it is a curriculum concerned with organizing life starting with individuals and the family until the establishment of states, and from its comprehensiveness is reform, guidance and establishing boundaries. They have a disease in their hearts. They are exposed to this and are trying, by falsehood, to subjugate the Islamic world with man-made laws set by the West. Their aim is to distance people from

This is a descriptive study that used the survey method, it’s aimed to identify the topics and frameworks of diplomatic and political issues covered by the news of the website of the Iraqi Ministry of Foreign Affairs, through the content analysis method applied on a sample selected in a systematic random manner for news published in the year 2021. The sample included (191) news equivalent to (20%) of the total study population of (942). The study reached some results, the most important of which were as follows: The political issue, in its general sense, grabbed the most prominent attention among the various issues and events focused on by Iraqi diplomacy: "international cooperation", "bilateral cooperation", and then "regional politic

It is noted in the title that the paper studies the viewpoint in the novel The Dog and the Long Night by the Iranian novelist Shahranoush Parsi Pour and in the novel Alibaba's Sad Night by the Iraqi novelist Abdulkhaliq Ar-Rikabi. Both are well known novelists, and about whose stories and novels many critical books, MA theses, and Ph.D. dissertations have been written. Also, some of their literary works have won prizes. Here, the researcher shed light on the concept of viewpoint, its types, and its importance in novels in general. This was done along with tackling the two viewpoints in both novels, where similarities and differences were identified. For this end, the researcher has adopted the analytic-descriptive appro

أصبحت التنشئة الاجتماعية السليمة من أكثر الأدوات في التصدي لأوبئـة العنف والتطرف ومظاهرها المتفشية بصورة أو بأخرى في مجتمعاتنـا المعاصـرة عامـة باختلاف أيديولوجياته الفكرية ومعتقداته الدينيـة ومسـتوى نموهـا الاقتصـادي، وأصبحت بأشكالها المتنوعة معنية بترسيخ التعاليم الدينيـة السـمحة وغـرس القـيم الديمقراطية السليمة ومبادئ وقيم حقوق الإنسان في شتى مجالات الحياة الإنسانية، وهي أيضا تعد حجر الأساس من اج

أصبحت التنشئة الاجتماعية السليمة من أكثر الأدوات في التصدي لأوبئـة العنف والتطرف ومظاهرها المتفشية بصورة أو بأخرى في مجتمعاتنـا المعاصـرة عامـة باختلاف أيديولوجياته الفكرية ومعتقداته الدينيـة ومسـتوى نموهـا الاقتصـادي، وأصبحت بأشكالها المتنوعة معنية بترسيخ التعاليم الدينيـة السـمحة وغـرس القـيم الديمقراطية السليمة ومبادئ وقيم حقوق الإنسان في شتى مجالات الحياة الإنسانية، وهي أيضا تعد حجر الأساس من اج

يُسلط البحث الضوء على الدور الجيواستراتيجي للمرأة في مجالي الإغاثة والتنمية ضمن نظام الحوكمة الصحية الدولية، متخذاً من منظمة الصحة العالمية (WHO) أنموذجاً تحليلياً لتقييم فاعلية العمل الإنساني. تنطلق الدراسة من إشكالية "المفارقة الهيكلية"؛ ففي حين تُشكل المرأة (70%) من القوى العاملة وتمثل فاعلاً محورياً وعنصراً حاسماً لامتصاص الصدمات ومنع تفكك النظم المجتمعية في بؤر الأزمات المعقدة (كما أثبتت النماذج في غزة، ا

 My research deals with the positions that the Prophet (PBUH) distressed. And condolences to those who lost her father and other problems and calamities that impede the life of women, has been given to the Lord of men, and good qualities, to strike the nation's finest proverbs in ensuring lost and lost of women and children, to be shown to us humanity in its finest form, and the best analyzed, and I hope God help And guidance and Rashad