In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș =  ( ), provided that  is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three

-If   is a principal self-generator semimodule, then (_ȘȘ) = W(Ș).

Subject Classification: 16y60

Current research strives to achieve the following aims:

1. Develop a scale for dominant values of Tikrit university students.
2. Measuring the dominant of Tikrit university students.
3. Identifying the significant differences among dominant values of Tikrit university students according to(sex, specialty, time).
4. Measuring the dominant values of each one of the six fields of the scale.
5. Identifying the differences in dominant values of each field according to the sex variables.

The current research has limi

Iran Regional and Foreign Security Policies Gulf. The long history of regional and other conflicts which their severity increased because of appearance of modern states and cultural and lingual ancient differences resulted in deep feeling of doubt and suspicion between Iran and its Arab neighbors .Meanwhile the two sides have several interests common points , the moist important is the strategic and commercial interests . The fears and objective procedures based on the continuing evaluation of Iran abilities and needs direct security policies in internal and foreign affairs concerning the world in Gulf specially.

The current research aims to identify the level of digital skills of kindergarten teachers, identify the level of professional competence of kindergarten teachers, as well as to identify the relationship between digital skills and the professional competence of kindergarten teachers. The current research was determined by kindergarten teachers in the second Baghdad / Karkh Education Directorate for the academic year (2021-2022). The research sample consisted of (100) teachers chosen in a simple random way. To achieve the objectives of the research, the researcher developed a digital skills scale of (20) items and a scale of professional competence consisting of (22) items. The results revealed that kindergarten teachers have a high level

 A computational investigation has been carried out to describe synthesis optimization procedure of magnetic lenses. The research is concentrated on the determination of the inverse design of the symmetrical double polepiece magnetic lenses whose magnetic field distribution is already defined. Magnetic lenses field model well known in electron optics have been used as the axial magnetic field distribution. This field has been studied when the halfwidth is variable and the maximum magnetic flux density is kept constant. The importance of this research lies in the possibility of using the present synthesis optimization procedure for finding the polepieces design of symmetrical double polepiece magnetic lenses which have the best proje

Abstract :-

The aim of the research is to explain the role of quality costs their  importance and their classification, and to clarify the most important tools that help to reduce costs.

In order to achieve the objective of the research and test hypotheses adopted the descriptive approach, as well as the adoption of the analytical approach in the study of applied data has been relied upon in providing data on the financial and production reports of the research sample company, the data were used to study and analyze financial and productivity reports . A number of conclusions have been reached the most important being the following

generator the metal conductor is replaced by conducting gas plasma.

The Marshlands cover an area of ​​about 24% of the land area of ​​Iraq, which gives it special importance to the country with its resources, resources and human capabilities, and because the conditions of this region are different from other areas environmentally and living necessitates subject to certain design principles achieve sustainable environmental integration to maintain them from For future generations, the idea of ​​research is crystallized by the interest of environmental organizations and urban designers in planning and establishing special laws to exploit the region environmentally, economically and tourism, especially after the current focus of the country's economic revival. T tourism and begin the development