The aim of this paper is to generate topological structure on the power set of vertices of digraphs using new definition which is Gm-closure operator on out-linked of digraphs. Properties of this topological structure are studied and several examples are given. Also we give some new generalizations of some definitions in digraphs to the some known definitions in topology which are Ropen subgraph, α-open subgraph, pre-open subgraph, and β-open subgraph. Furthermore, we define and study the accuracy of these new generalizations on subgraps and paths.

Abstract

Research title: The legal ruling of advice.

This research deals with the topic of advice, as the research included the following:

Preamble: I explained in it the meaning of advice in the Qur’an and Sunnah, and that what is meant by it is a good performance of the duty, then explaining its importance, importing it, and the difference between advice and what is similar to it, from enjoining good, denial, reproach and reprimand, backbiting and the will.

The first topic: It dealt with the ruling on advice, whether it is recommended or disliked, or forbidden, because what is meant by it is to give advice to others may be an obligation in kind, or it may be desirable or dislike

Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a primary multiplication module if every primary submodule of M is a multiplication submodule of M. Some of the properties of this concept will be investigated. The main results of this paper are, for modules M and N, we have M N and HomR (M, N) are primary multiplications R-modules under certain assumptions.

The main goal of this paper is to introduce and study a new concept named d^*-supplemented which can be considered as a generalization of W- supplemented modules and d-hollow module. Also, we introduce a d^*-supplement submodule. Many relationships of d^*-supplemented modules are studied. Especially, we give characterizations of d^*-supplemented modules and relationship between this kind of modules and other kind modules for example every d-hollow (d-local) module is d^*-supplemented and by an example we show that the converse is not true.

Praise be to God, prayer and peace be upon the Messenger of Allah and after :
For the Holy Qur’an is the constitution of this nation, and it has included everything that the nation needs, and it has appropriate solutions for all the problems it faces, and for a long time the nation has its vision for the future, waiting for a leader who carries the concerns of this nation and proceeds towards progress and progress, so that it rises to the glory and glory. He brings it out from what it is today, from its deterioration in all levels.
The world has witnessed in recent decades the development of programs and curricula, and books have been prepared showing how to prepare leaders and their industry, and what programs they should adopt

The researcher tackles the most outstanding conditions of experimentation, the importance of the study lies in being helpful to the workers in the field of theatre in general and directors in particular which the conditions of experimentation that should be taken.The study aims at knowing the experimental basis which the director (Sami Abdulhamid) followed in the realization of this.The researcher tackles in the First inquiry the concept of experimentation and the second tackles the conditions of experimentation.In the methodology of study the researcher analyzed the show of the "Othello in the Kitchen" and comes up to the following: 1. the dhows has cone with the nature of the previous shows experienced the methods that were not familia

This research is a modest contribution to Put the finishing touches on therole of managerial leaders represented by static companies belonging to theministry of transport and communication/ [iraq] . the research has adopted thedescriptive. Analytical methodology and field study technique, using thequestionnaire as a tool for data collection [58] forms Nar, been distributed tothe research sample. The sample has been deliberately selected {generalmanager, as assistant general manager and heads of department}. Thequestionnaires and the main hypotheses of represented by the existence ofsignificant correlation and impact between successful managerial leadershipand crisis management using the software {SPSS}, were analyzed. Resultswere identic

The sound effects in TV dramas achievements have become very important not only in terms of function and implementation, but at a greater and wider level in terms of artistic and aesthetic values, which are produced and employed in the most important world artistic achievements of drama, using the latest and most prominent technologies and equipment and according to the expressive and dramatic values expressed by these modern digital sound effects. Therefore, the researcher chose the aesthetic effect of digital sound effects in television drama to identify the aesthetic aspects provided by digital sound effects by employing them and their accompaniment for the image.

The researcher, therefor, divided this study into the methodolo

Communication and media technologies have seen several changes in the last two decades. These changes put the basis for the emergence of communicative and media practices on several levels including political, economic, technological and artistic. And these, in turn, led to the emergence of new media trends and phenomena in various areas of media worthily to be studied and researched for example online advertisings.                                                                                          Online advert