Let be a ring with 1 and D is a left module over . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules. We show that if D is a scalar small quasi-prime -module, thus D is an essentially small quasi-Dedekind -module. We also show that if D is a faithful multiplication -module, then D is an essentially small prime -module iff is an essentially small quasi-Dedekind ring.

Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and pattern recognition. This paper presents a mathematical model for discussing an application of non-additive measures and corresp

This research delves into the role of satirical television programs in shaping the image of Iraqi politicians. The research problem is summarized in the main question: How does satire featured in television programs influence the portrayal of Iraqi politicians? This research adopts a descriptive approach and employs a survey methodology. The primary data collection tool is a questionnaire, complemented by observation and measurement techniques. The study draws upon the framework of cultural cultivation theory as a guiding theoretical foundation. A total of 430 questionnaires were disseminated among respondents who regularly watch satirical programs, selected through a multi-stage random sampling procedure.
Th

The research aims to study some of the human characteristics of the state of Singapore to know the impact of these characteristics on the strength of the state, its development and. The research included two aspects, theoretical and analytical, using the descriptive analytical method, force analysis method, as well as the historical method. The data was analyzed according to mathematical equations, including the size of the country's population, the extraction of the population growth rate and the concept of age structure, where some indicators related to this concept have been explained. The researcher reached a set of results, the most important of which were: that the population size of the state of Singapore in the period between (19

Uncompleted Personality and it’s relation with Some Variables of the University Students

In this paper, we will study and prove the existence and the uniqueness theorems
of solutions of the generalized linear integro-differential equations with unequal
fractional order of differentiation and integration by using Schauder fixed point
theorem. This type of fractional integro-differential equation may be considered as a
generalization to the other types of fractional integro-differential equations
Considered by other researchers, as well as, to the usual integro-differential
equations.

This   study   has   investigated   the   effect   of   jaundice   on   some

hematological  and biochemical paramenters in male and female.  The results have shown significant decrease in Hemoglobin concentration, packed cell volume, white blood cell count and platelet count. The biochemical parameters results have shown significant increase in prothrombine time, level of total bilirubin, Aspartale transminase and Alanin trans aminase in the serum of male and femal.

This study dealt with many of morphological, anatomical characteristics and geographical distribution of Capparis spinosa L. that grown wildly in Iraq, The species were compared to the adoption of field and herbarium specimens. A detailed morphological feature of the stem, leaf, fruit and seed were introduced. Anatomical studies reveal constant taxonomic characteristics such as the obvious cuticle on the epidermis of stems and leaves, developed cortex, pith and vascular tissue in stems. From an environmental perspective has been studied the habitat and the distribution of C. spinosa in Iraq that showed inhabit very dry places and had mesophytic and xerophytic habitat.

Praise be to God, Lord of the worlds, and prayers and peace be upon the most honorable of God’s creation, Muhammad bin Abdullah, the illiterate Arab prophet, the faithful, and his family and companions.
And yet ...

     The realistic view is that Islamic jurisprudence is not exaggerated in the judgment of compensation, so it is judged for everything that has been lost by the victim of a profit or his loss, but he takes into account the bearing of the guarantee between profit and loss or the principle on which the theory of bearing liability is found, and it is clear through research that Islam The principle of respecting money, souls and rights is considered a public order, but it may exclude some ca

This work involves the synthesis and characterization of  asymmetrical  pyromellitdiimide derivatives [VII]a-f  by four sequences steps reaction . One mole of pyromellitic dianhydride was reacted with one mole of various primary aromatic amines [2aminothiazole , 2-aminobenzothiazole , 5-(4-amino phenyl)-1,3,4-oxadiazole-2-thiol , 4-nitro aniline , 4-chloro aniline , 4-toludine] in excess of dry acetone to produce six compounds (Nsubstituted-pyromellitamic monoacid) [IV]a-f . These new compounds [IV]a-f  were converted to the  corresponding N- substituted- pyromellitmonoimide [V]a-f  when heating then at (8090) 0C in sodium acetate-acetic anhydride system .The compounds [V]d-f were allowed to react with one m