Let  be a commutative ring with identity, and  be a unitary left -module. In this paper we introduce the concept pseudo weakly closed submodule as a generalization of -closed submodules, where a submodule  of an -module  is called a pseudo weakly closed submodule, if for all , there exists a -closed submodule  of  with  is a submodule of  such that . Several basic properties, examples and results of pseudo weakly closed submodules are given. Furthermore the behavior of pseudo weakly closed submodules in class of multiplication modules are studied. On the other hand modules with chain conditions on pseudo weakly closed submodules are established. Also, the relationships of  pseudo weakly closed

This research Find semantic relations between the Holy Quran and readings anomalous in particular, does not mention the readings anomalies are all but signed the examples of them where he found a marked contrast between them and what is known in the Holy Quran, and the intervention of research in the words of the commentators and between their views and stated what is unacceptable and what before, nor Luck meaning significantly different in some readings, leading to different Islamic ruling as well, also found that of the readings made clear what is meant by the blessed verse in the Holy Quran and signed to be even if it was abnormal.

A submodule Ϝ of an R-module Ε is called small in Ε if whenever  , for some submodule W of Ε , implies  . In this paper , we introduce the notion of Ζ-small submodule , where a proper submodule Ϝ of an R-module Ε is said to be Ζ-small in Ε if  , such that  , then  , where  is the second singular submodule of Ε . We give some properties of Ζ-small submodules . Moreover , by using this concept , we generalize the notions of hollow modules , supplement submodules, and supplemented modules into Ζ-hollow modules, Ζ-supplement submodules, and Ζ-supplemented modules. We study these concepts and provide some of their relations .

The problem of research tagged: (metaphor and its transformations in the surreal drawing) dealt with the nature of the concept of metaphor and the mechanisms of its work in the contemporary global achievement. The research came in four chapters: The first chapter was concerned with the systematic framework for the research represented by the problem of the research, as it was manifested through this study by metaphor and its transformations, which were associated with the Surreal drawing papers in Europe. The goal of the study has been crystallized with the following:

Exposing metaphor and its transformations in the visual system of the surreal drawing.
As for the limits of the research, I was interested in analyzing video mod

Honorifics are linguistic expressions which maintain social as well as religious respect to other people. They are linguistic techniques which express politeness to other interlocutors. Semantically speaking, honorifics are of two types: al-Laqab (title) and al-Kuniya (teknonyms) following a specific word order. They form part of the Arab recognitions and are mold into their social and communicative competence.

      The study focuses upon religious and regional honorifics which convey deference and respect. It assumes that religious and cultural recognitions play vital roles in formulating and embedding the sense of honorifics. It is hypothesized that Arab people express respect to religious personalitie

         The main goal of this paper is to give  a new generalizations for two important classes in the category of modules, namely the class of small submodules and the class of hollow modules. They are purely small submodules and purely hollow modules respectively. Various properties of these classes of modules are investigated. The relationship between purely small submodules and P-small submodules which is introduced by Hadi and Ibrahim, is studied. Moreover, another characterization of  purely hollow modules is considered.

In this paper, we will generalized some results related to centralizer concept on
prime and semiprime Γ-rings of characteristic different from 2 .These results
relating to some results concerning left centralizer on Γ-rings.

Cybercrime and risks to children between the problems and solutions( An analytical study in the light of international, Arab and national statistics).
Lies the problem of the study to identify a new type of crime is different from the same traditional character of the crimes or what was customary since human creation up to the information revolution and we enter the era of globalization, which is also called (cyber crime) and their negative impact on all segments of society, especially children, as they the day of the most important social security threats, for all local and international communities alike , and those risks require collective action to various sectors and segments of society ,especially the educated classes in order t

The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where ? be surjective endomorphism of R . It is also proved that if T(x?y)=T(x)??(y)=?(x)?T(y) for all x, y ? R and ?-centralizers of R coincide under same condition and ?(Z(R)) = Z(R) .

Old Iraq includes the first experiences in establishing the first residential settlements in the Mesopotamian, and model villages designed and the pulp units in it and their natural matter, that made it perennial, and construction continues until now with it. These experiences were the basis for the emergence of the Iraqi civilization and thus the world and the beginning of writing, trade and the religions of the divine since before history, and then the Sumerian, Babylonian and Assyrian civilizations, and their villages that formed the Fertile Crescent.

There is a lack of knowledge and disregard for the distant and near history of Iraq in the field of rural housing, despite Iraq's leadership in this field, with the aim of the re