Nilpotency of Centralizers in Prime Rings

A new definition of a graph called Pure graph of a ring denote Pur(R) was presented , where the vertices of the graph represent the elements of R such that there is an edge between the two vertices ???? and ???? if and only if ????=???????? ???????? ????=????????, denoted by pur(R) . In this work we studied some new properties of pur(R) finally we defined the complement of pur(R) and studied some of it is properties

In this paper we introduce the idea of the commutator of two fuzzy subsets of a group and study the concept of the commutator of two fuzzy subsets of a group .We introduce and study some of its properties .

Adsorption and ion exchange are examples of fixed-bed sorption processes that show transient behavior. This means that differential equations are needed to design them. As a result, numerical methods are commonly utilized to solve these equations. The solution frequently used in analytical methods is called the Thomas solution. Thomas gave a complete solution that adds a nonlinear equilibrium relationship that depends on second-order reaction kinetics. A computational approach was devised to solve the Thomas model. The Thomas model's validity was established by conducting three distinct sets of experiments. The first entails the adsorption of acetic acid from the air through the utilization of activated carbon. Following

Abstract: Various peoples have contributed to building the Islamic civilization through the achievements and creativity of their scholars. In particular, the Kurdish scholars have provided new and great services to the Holy Qur’an that deserves attention. For example, it is no secret that Sheikh Ahmadian, with his interpretation, rendered a great service to the Glorious Book of God. His style is distinguished by modernity, seriousness and objectivity, and represents a lively response to the needs of the Kurdish Muslim people. Due to the importance of Ahmadian’s interpretation of the Qur’an, therefore, I have demonstrated his approach in this research in terms of dealing with his interpretation of the Qur’an with the Qur’an, the

This study aims to reach the right of governorates that are not organized in a region to impose local legislation, including tax legislation, and the extent of the constitutionality of this legislation and its consistency with constitutional texts and legal rules. The imposition of local taxes finds its constitutional and legal basis in the Iraqi constitution for the year 2005 and the law of governorates not organized in a region.The imposition of local taxes corresponds to the principle of tax legality, which is reflected in the necessity of issuing tax laws from a competent authority, whether this authority is federal, regional or local. Rather, it is sufficient that it be competent

Resumen The article deals with the analysis of different ways of creating Arabic scientific terminology. Arabic scientific style includes the terminology that represents different scientific areas functioning in all Arabic countries. These ways can be classified as: giving the meaning of terms; construction of new terms according to the rules of word formation; reduction and ellipsis of terms; direct term borrowing, all the above-mentioned being subject to further analysis. Main objectives of academic style, the specific features and certain lexical and grammatical peculiarities of the Arabic scientific terminology are under consideration as well. Discussed in the paper are linguistic and extra-linguistic factors influencing the ways of sci

     Our purpose in this paper is to introduce new operators on Hilbert space which is called weakly normal operators. Some basic properties of these operators are studied in this research. In general, weakly normal operators need not be normal operator, -normal operators and quasi-normal operators.