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 .

Abstract

The pressures of life have become a tangible phenomenon in all societies in varying degrees. This disparity determines several factors, including the nature of societies, the level of their urbanization, the intensity of interaction, the intensity of conflict, and the increasing rate of change in those societies. many people name The modern era in which we live the “era of pressures", where one of the most important of these changes is the “new Coronavirus 19-COVID”, which has spread widely throughout the world, as the pandemic, has affected all aspects of daily life, including the educational and academic process, academic activities have been suspended in universities, which caused sudden change

Despite the global economic downturn, online e-commerce, especially the sale of counterfeit goods, continues to witness a rise in sales, and one of the important players in e-commerce is the owners of e-commerce auction sites. Although they do not have a direct role in trademark infringement, they still consider them indirectly responsible (secondary liability) for infringing on their trademarks. Thus, many cases have been filed by the owners of the original trademarks (which have been infringed by persons who have sold some of the goods and products that are imitating their marks through some electronic auctions) against the owners of those auctions. In view of the international character of the Internet, in different countries, and despit

The impedance from the cognitive field and reliance on it, ambition  level, and the academic ego concept are concepts on which too many varied studies had been conducted. The current research aims to the followings:

First:

Measuring the independence from the cognitive field and the reliance on it of the college students and this done for: the whole sample, the equalization among the degrees in accordance to the sex variable (male, female), specialty variable (scientific, humanistic).

Second:

Measuring the ambition level of the college students and this done for: the whole sample, the equalization among the degrees in accordance to the sex variable (male, female) and specialty variable (scientific, hum

استشعار النصاب (Quorum sensing, QS) هو آلية معروفة تستخدمها جراثيم عديدة للسيطرة على عوامل الضراوة الهامة من خلال الإنتاج والاستجابة اللاحقة ل .)N-acylhomoserine (AHLs جرى تسجيل تثبيط استشعار النصاب (QSI) ، الذي يستهدف الإشارات المعتمدة على AHL، كاستراتيجية للسيطرة على الأمراضية الجرثومية. وبالتالي، تهدف هذه الدراسة إلى البحث عن قدرة جرثومة الزائفة الزنجارية كمؤشر للفحص السريع عن QSI المحتمل المتسبب عن المستخلصات النباتية على أسا

Abstract:

                In light of the development in the banking environment and the increasing reliance on electronic systems in providing banking services and due to the intense competition witnessed by the banking sector, the need has emerged to apply the comprehensive electronic banking system, which works on the Internet in providing new and diverse banking services regardless of time and place by linking all branches to one central database, and despite the advantages achieved from the application of the comprehensive system, there is a set of risks that accompany the use of that system, What requires the auditors to develop the audit method in line with the size of the development in the

يكتسب موضوع تدريب وتطوير العاملين أهمية بالغة في الظروف الاقتصادية الحالية التي تسودها مفاهيم وتوجهات جديدة كعولمة الاقتصاد ورأس المال المعرفي والفكري، وحيث صارت المعارف والمهارات والقابليات التي يمتلكها العاملون محركاً أساسياً باتجاه النجاح، وعنصراً مهماً في زيادة فاعلية منشأة الأعمال، وإدامة وجودها واستمرارها.

إن العاملين المدربين بشكل جيد على عمليات المنشأة وطبيعة المواد التي تستخدمها وإنتاجه

This current study aims to:
1st: The recognizing of Alexithymia level for 6th grade students (Study Specimen) through the next Zero Hypothesis:1. There are no statistically significant differences at (0.05) level between the arithmetic mean of the specimen degrees as a whole and the central assumption for the scale of the lack in emotions expression
2. There are no statistically significant differences at (0.05) level between the arithmetic mean of the male students specimen and the arithmetic meanc of the female students specimen for the scale of Alexithymia.
2nd: ldentification the level of the emotional intelligence among 6th grade students (Study Specimen) through the next Zero Hypothesis:
1) There are no statistically si

God, may He be glorified and exalted be He, has given every human being the right to life and a dignified life, and has warned against transgression against any of its sanctities without a legitimate right. No one, regardless of his status or authority, can deprive a person of his rights that the Sharia came to preserve, and whoever does that has declared all people to war, as all humanity is in solidarity. In raising the hand that is simplified to harm a person and oppress him unjustly and exalted in the land.
If this is the case, the Sharia came to establish the right of people, groups and individuals, to defend their sanctities, preserve their security, recover their usurped rights, repel the aggression of the aggressors, and oppre