Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.

Perhaps it is of paramount importance for researchers to present grammatical topics with a uniqueness that distinguishes them from everything else that may overlap with them, and a specificity that distances them from much of what may be thought to be similar to them or similar to them. The subject pronoun is one of these topics that should be considered. Due to the uniqueness of this pronoun among the rest of the family of pronouns, with features and adverbs that deserve research and study, and then analysis and treatment; Because of its scientific value, it goes hand in hand with other pronouns. This topic would not have drawn my attention or received much of it had it not raised some fundamental questions, including, f

This study aims to investigate the features of stellar-gaseous kinematics and dynamics mass using scaling coefficient relationships (such as the Faber–Jackson relation (FJR)) of two samples of elliptical and lenticular galaxies. These two samples of 80 ellipticals and 97 lenticulars were selected from previous literature works. The Statistical Package for Social Sciences )SPSS( and Matrix Laboratory (MATLAB) program were used to find out the associations of multiple factors under investigation such as main kinematic properties of the gaseous-stellar (effective radius Re, surface density within the effective radius (Ʃeff) , stellar mass in the blue band (Mstar (B)), gas mass ( Mgas), dynamic (Mdyn) and baryonic (Mbar), supermassiv

The Historical effect of Conflict between North and South

This study aims to conduct an exhaustive comparison between the performance of human translators and artificial intelligence-powered machine translation systems, specifically examining the top three systems: Spider-AI, Metacate, and DeepL. A variety of texts from distinct categories were evaluated to gain a profound understanding of the qualitative differences, as well as the strengths and weaknesses, between human and machine translations. The results demonstrated that human translation significantly outperforms machine translation, with larger gaps in literary texts and texts characterized by high linguistic complexity. However, the performance of machine translation systems, particularly DeepL, has improved and in some contexts

Postmodern arguments, formed a critic case of what modernity brought in several levels. Postmodern practice was considered as a proactive case having amorphous concepts and features to what entiled as an intellectual trends postmodern philosophically and intellectually. But, what postmodernism architecture broughts in it essence, was not isolation from the intellectual context and entrepreneurship case, and it was not disconnecting from the intellectual and philosophical era of that period. Lliteratures and philosophical argument precede what (Robert Venturi) and (Charles A Jencks) had brought, albeit it was closer to critics and correction the path of modernity from crystallizing a direction that exceeds modrinity to wh

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South Sudan is known by its tribal and racial variation .Tribal Perception represents the
procedure of dealings in Southern society .And that what make Sudan as a stable country that
suffer from divisions . Everybody wants to rule in spite of his inability and un qualification
which enables the establishment of an urbanized country .the frustration of the state in
handling the interior variety on religious, tribal and racial basis and contracting national
ideality in spared by shared ingredients between gathered groups in one state, all these reasons
make it hard to create a united national identity which is able to unite atheist and religious
parties together. Due to this ,the study is established to clarify the nat

     Concentrated research topic in addressing variable vital to the work of offices of inspectors general, construction and scale effectiveness and efficiency is the organizational structure, which are important as is obvious to any researcher in the management and organization and this variable would affect the exercise task supervision and inspection of financial and administrative corruption and combat efficiently, Thus this effect will be placed in the fold ability to achieve goals. That the creation of the organizational structure and requirements to achieve harmony between its properties is creating step towards success. This research aims to analyze the characteristics and style o