The set of all (n×n) non-singular matrices over the field F this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension  over the field F, denoted by . The determinant of these matrices is a homomorphism from  into F* and the kernel of this homomorphism was the special linear group and denoted by  Thus  is the subgroup of  which contains all matrices of determinant one.

The rational valued characters of the rational representations written as a linear combination of the induced characters for the groups  discuss in this paper and find the Artin indicator for this group after study the rational valued characters of the rational representations and the induce

It is the dynamic tension between the relatively fixed built environment and the constantly changing in social life that determines the nature of urban spaces belonging to different historical periods, and considered as a tool for diagnosing transformations in urban spaces, that’s why, the characteristics of urban space became unclear between positive spaces and negative spaces, so emerged the need to study contemporary urban space belonging to the current period of time and show the most important transformations that have occurred in contemporary urban space to reach urban spaces that meet the current  life requirements. Therefore, the research dealt with a study of the characteristics of contemporary urban space and the most pr

The study aims at elicitation the morals strategies from sunnah depending on the analytic-qualitative method. It revealed a comprehensive integrated system of creative strategies to improve morals. It was categorized into three areas: cognitive strategies, affective strategies, and some strategies based on self-initiative and practice. The researcher recommended that teachers and educators should employ these effective strategies in the process of moral guidance for the Muslim generation. He also recommended that researchers should put more effort to do more In-depth qualitative studies, which must be directed to establish the origin of different education strategies from the Holy Qur’an, the Sunnah, and Muslim scholars’ legacy.

The childhood of the important stages in which the adopted child's personality, mental and physical, motor and configure , as well as gain experience , it is the basis on which the future life of the child , studies have unanimously competent in the fields of childhood verily the first five years of a child of the most important stages of life and the most fertile life . Because the stage Childhood its an active role as the foundation upon which to build human personality , it was necessary to create all leads to raise the level of intelligence of children , because intelligence is the first element in the organization of thinking makes the child able to do the activities characterized by mental qualities .
Indicated most of the scien

النظام السياسي في كوريا الشمالة

This paper is mainly concerned with the study of the moral aspects that prompts William Shakespeare to attempt a romance in which he has embedded the epitome of his thought, experience, and philosophy concerning certain significant aspects of human life whose absence or negligence may threaten human existence, peace, and stability. From the beginning of history man realizes the importance of prosperity on the many and various levels that touch and address his needs and desires—natural, material, and spiritual. The Tempest, due to the dramatist's awareness of the aforementioned values, reflects the dramatist's duty as to projecting and unfolding these important aspects, reconciliation and forgiveness, that promote prosperity which is th

Introduction. Tangential gunshot wounds (TGSW) to the head is the high-velocity bullet that does not penetrate the cranium but passes through the tissue adjoining the cranial cavity, creating a “gutter” wound and indirectly causing cerebral injury. This article presents a reporting case of TGSW to the head, discusses the mechanism underlying this traumatic injury and the possible complications resulting from it, and reviews of literature.  Case description. A thirteen-year-old schoolboy was admitted to the emergency department (ER) of the neurosurgery teaching hospital in Baghdad, Iraq, with a tangential gunshot to the head of an unknown source during civilian protests in Baghdad. In addition to a seizure attack in the ER, his

The present research is concerned with the way in which different dialects interact with each other in contemporary sculpture through the use of the metaphor for various shapes, meanings and materials and placing them in contexts that conflict with the familiar. These attempts come in harmony with the spirit of the times in seeking exoticism, surprise and splendor as a means of renewal. modern Art . Therefore, the research was divided into four axes, the first of which included the research problem, its importance and its aim, which is to attempt to uncover the metaphorical metaphorical relational mechanism in modern sculpture. The second axis included the theoretical framework. The third axis included the research procedures of determin

A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element. Also shows the relationship between the Jacobsen Radical, and the set of invertible elements and gets some results, and linked these results with the divisible hyperring. After going through the concept of divisible hypermodule that presented 2017, later in 2022, the concept of the divisible hyperring will be related to the concept of division hyperring, where each division hyperring is divisible and the converse is achieved under conditions that will be explained in the theorem 3.14. At the end of this paper, it will be clear that the goal of this paper is to study the concept

Because of the tremendous changes in the business environment and significant growth in living standards, increased demand for services in general and about the realized practitioners in the field of service that traditional marketing strategies and models administrative based solutions to mono as the price alone does not lead to the desired outcomes with customers and even organizations as it does not apply always for the manufacture of their services unique . therefore , the need to learn marketing service order and a clear and critical to avoid failures in service and the marketing document to knowledge would avoid the organization that the failure in the delivery of service and enhances the desired response to fix it in a tim