The main objective of this thesis is to study new concepts (up to our knowledge) which are P-rational submodules, P-polyform and fully polyform modules. We studied a special type of rational submodule, called the P-rational submodule. A submodule N of an R-module M is called P-rational (Simply, N≤_prM), if N is pure and Hom_R (M/N,E(M))=0 where E(M) is the injective hull of M. Many properties of the P-rational submodules were investigated, and various characteristics were given and discussed that are analogous to the results which are known in the concept of the rational submodule. We used a P-rational submodule to define a P-polyform module which is contained properly in the polyform module. An R-module M is called P-polyform if every essential submodule of M is P-rational in M. We study this kind of module in some detail and introduced some characterizations of the P-polyform module and its relationships with some other modules. The third kind of module in this thesis is called fully polyform module, and it is contained in the class of polyform module. A module M is said to be fully polyform, if every P-essential submodule of M is rational in M, that is Hom_R(M/N, E(M))=0 for every P-essential submodule N of M. In fact, the class of fully polyform modules lies between polyform modules and essentially quasi-Dedekind modules. The main characteristics of fully polyform modules were investigated, and some characterizations of these types of modules were established. Furthermore, the relationships between this class and other related modules were examined.
The relation between faithful, finitely generated, separated acts and the one-to-one operators was investigated, and the associated S-act of coshT and its attributes have been examined. In this paper, we proved for any bounded Linear operators T, VcoshT is faithful and separated S-act, and if a Banach space V is finite-dimensional, VcoshT is infinitely generated.
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Speech is associated with all early term grammar - somewhat - talking about the beginnings of the emergence of grammar, its foundation, and the truth is that this period has remained obscure, what came of them was a novels dealt with a facilitator beginnings as, and this means that what was of grammatical terms in the period of the first generation of grammarians do not constitute in itself, but the initial harbingers of serious way as in the science, and the real beginning of the term grammar mature as orally were at Hebron and Sibawayh evident in the book, then the efforts of the grammarians available until after the term of grammar arrived to what it is .
In this area is (actor) a grammatical terminology, which won at the ancient s
This paper is devoted to the discussion the relationships of connectedness between some types of graphs (resp. digraph) and Gm-closure spaces by using graph closure operators.
Directional control valves are designed to control direction of flow, while actuators maintain required speeds and precise positions. Magnetorheological (MR) fluid is a controllable fluid. Utilizing the MR fluid properties, direct interface between magnetic fields and fluid power is possible, without the need for mechanical moving parts like spools. This study proposes a design of a four-way three-position MR directional control valve, presents a method of building, and explains the working principle of the valve. An analysis of the design and finite elements using finite element method of magnetism (FEMM) software was performed on each valve. The magnetic circuit of the MR valve was analyzed and the performance was simulated. The
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The Moslem women between west and Islam ,This study deals with Muslim women
from the west Pont of view in the oriental studies or the western media and how it was
exposed to ill-treatment or evil-eyed by the west due to misunderstanding or it was done on
purpose that they didn’t comprehend how the women deals with Islam ,so this western view
assured that Islam had disparaged the women's position and hindered her freedom, aiming at
stabbing Islam and dislocate the Islamic tissue which is formed from man and women.
This study has established with evidences the distance of this western view from reality
Islam in fact raised and lifted women's position while the western women was living on
the margin of life, robbed
This study evaluates the advantages of employing nano-hydroxyapatite in dentistry, particularly for preventive treatment applications. Only electronically published papers were searched within this review. Sources: "PubMed" website was the only source used to search for data. 92 most relevant papers to the topic were selected, especially the original articles and review papers, from 1990 till the 1st of April 2022. The morphology of nano-hydroxyapatite, as well as the structure of its crystals, are close to that of dental enamel. As a result, hydroxyapatite can biomimetically replace the natural enamel mineral element. Keywords: remineralization of enamel, nanotechnology, nanohydroxyapatite, hypersensitivity.
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Background: Insulin resistance (IR) is the primary metabolic disorder associated with obesity. Obesity is a growing worldwide health problem affecting both adults and children. Objectives: To determine the association between leptin and IR, and to identify the ratio of fasting glucose/leptin (G/L) and insulin/leptin (I/L) as a new simple method for the detection of IR in obese children.Methods: This study was done in the National DiabeticCenter/ AL-Mustansiriya University during the period fromMay 2013 until the end of October 2013. Fasting bloodglucose (FBG), serum insulin, leptin, and lipid profile weremeasured in 52 obese children (24 children with IR and 28without IR); their age range was (5-15) years, they werecompared with 38 healt
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In this paper, we use concepts and results from percolation theory to investigate and characterize the effects of multi-channels on the connectivity of Dynamic Spectrum Access networks. In particular, we focus on the scenario where the secondary nodes have plenty of vacant channels to choose from-a phenomenon which we define as channel abundance. To cope with the existence of multi-channels, we use two types of rendezvous protocols: naive ones which do not guarantee a common channel and advanced ones which do. We show that, with more channel abundance, even with the use of either type of rendezvous protocol, it becomes difficult for two nodes to agree on a common channel, thereby potentially remaining invisible to each other. We model this
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