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a - Small and S - Large Submodules

المودولات الجزئية a- الصغيرة و s- الكبيرة

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 Publication date 2018
  fields Mathematics
and research's language is العربية
 Created by Shamra Editor




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Our main goal in this research is to find the conditions which make the a - small submodules are equivalent with small submodules and so s- large submodules with large submodules, then find the relatio -nship between the radical of module and the a - small submodules.

References used
Amini B. & Ershad M. & Sharif H: "Co-Retractable Modules", J. Aust. Math. Soc. V. 86, No.3., (2009). P. 289 – 304
Hamza H : " Regularity and Semi-potency of Hom ", Korean J. Math. 22, (2014), No. 1, pp. 151-167
Hamza H:" (Co) Retracability and (Co) Semi-potency ", Korean J. Math. 22. (2017), No. 4, pp. 587 – 606
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لما كان أساس المودول يعرف من خلال المودولات الجزئية الصغيرة فقد نالت هذه المودولات أهمية لا بأس بها وذلك بعد أن نشرت إريك مارس بحثها المودولات نصف التامة عام 1963م
The aim of this paper is to study spin waves in ferromagnetic with spin (S=1/2) in complex coordinates system, the paper is divided into three sections: The First section is about finding a transportation system that enables us to study a microsco pic phenomenon ,its the spin waves in a classical way. The first step in this transportation system lies in finding the suitable wave function in the chosen coordinates, then the Hamiltonian and the Lagrangian then after that the dynamic equations in the general form, and testing the credibility of the system by making sure that it follow the rules of the study. The Second section is about the use of that system, which is called the Simi classic way of studying the spin waves, and finding the dispersing equations and energetic levels then discussing the resultes from different ways and effects. The Third section includes 1- Finding the ground state (basic) and the importance of finding the energy of the ground state lies in its direct effect on the system's energy.2- Finding the movement equations connected with time and place (the time-place equations). Its importance lies in two points; the first one is that it enables us to find the variance in the coordinates of the spin according to time. The second point is to know the spread speed of spin waves according to the chosen axle and the connection of the variation of domains (the magnetic sectors) with the spreading of spin waves and its speed
دراسة حول البعد المنتهي للمؤثر* A ̂S ̂-S ̂ A ̂ في الفضاء[0,∞] L_m^2 تشمل الرسالة على مقدمة وفصلين في الفصل الأول استعرضنا بشكل موجز الدراسات والابحاث ذات الصلة
The small projects are considered as the main brick for building a high economical edifice in developing countries, but such enterprises are facing many challenges in developing countries due to economic openness which is imposed by globalization phenomena with its different mechanism and its political, cultural, technological, managerial, and economical dimensions.
This study aimed at exploring reality and the most critical obstacles that face smallscale industrial firms and identifying the extent to which these firms utilize networking, in Jordan. To achieve the objectives of this study the researcher develo ped a questionnaire to collect data. The study society included all small industrial enterprise in Irbed and Amman Governorates (1179) in 2009, whereas The drawed sample consists of (274) enterprise, The main findings of the study are: A set of obstacles faces small industrial enterprises. Most important: high tax rates, repercussions of an international economic crisis, high raw materials prices, competition from local large enterprises Small industrial enterprises, in addition this study founds quantity of networks with other small firms as well as large firms.

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