The aim of this research is to study some types of fibrewise fuzzy topological spaces. The six major goals are explored in this thesis. The very first goal, introduce and study the notions types of fibrewise topological spaces, namely fibrewise fuzzy j-topological spaces, Also, we introduce the concepts of fibrewise j-closed fuzzy topological spaces, fibrewise j-open fuzzy topological spaces, fibrewise locally sliceable fuzzy j-topological spaces and fibrewise locally sectionable fuzzy j-topological spaces. Furthermore, we state and prove several Theorems concerning these concepts, where j={δ,θ,α,p,s,b,β} The second goal is to introduce weak and strong forms of fibrewise fuzzy ω-topological spaces, namely the fibrewise fuzzy -ω-topological spaces, weakly fibrewise fuzzy -ω-topological spaces and strongly fibrewise fuzzy -ω- topological spaces. Also, several characterizations and properties of this class are also given as well. In addition, we focused on studying the relationship between weakly fibrewise fuzzy -ω-topological spaces and strongly fibrewise fuzzy -ω-topological spaces The third goal is to present fibrewise fuzzy types of the most importint separation axioms of ordinary fuzz topology namely fibrewise fuzzy (T_0 spaces, T_1 spaces, R_0 spaces, Hausdorff spaces, functionally Hausdorff spaces, regular spaces, completely regular spaces, normal spaces and normal spaces). It also has a lot of results. The fourth goal is to learn more about fibrewise fuzzy topological spaces, particularly fibrewise fuzzy compact and fibrewise locally fuzzy compact spaces. We also look at the connections between the many fibrewise fuzzy separation axioms and fibrewise fuzzy compact (or fibrewise locally fuzzy compact) spaces. We also provide a list of possible responses The fifth goal is to present a modern concept of fibrewise topological spaces known as fibrewise fuzzy ideal topological spaces. As a result, we define fibrewise closed fuzzy ideal topological spaces, fibrewise open fuzzy ideal topological spaces, and fibrewise fuzzy j-ideal topological spaces, where j ∈{α,P,S,b ,β} The sixth goal is to present a new concepts in fibrewise bitopological spaces known as fibrewise fuzzy ij-closed, fibrewise fuzzy ij-compact, fibrewise fuzzy ij-perfect, fibrewise fuzzy weakly ij-closed, and fibrewise fuzzy almost ij-perfect. It also introduces some concepts such as contact fuzzy point, ij-adherent fuzzy point, fuzzy filter, fuzzy filter base, ij-converges to a fuzzy subset, ij-directed toward a fuzzy set, ij-fuzzy continuous, ij-fuzzy closed functions, ij-fuzzy rigid set, ij-fuzzy continuous functions, weakly ij-fuzzy closed, ij-H-fuzzy set, almost ij-perfect bitopological spaces. Obtain some of its fundamental properties and characterizations as well.
Let R be associative ring with identity and M is a non- zero unitary left module over R. M is called M- hollow if every maximal submodule of M is small submodule of M. In this paper we study the properties of this kind of modules.
Abstract
Research title: The legal ruling of advice.
This research deals with the topic of advice, as the research included the following:
Preamble: I explained in it the meaning of advice in the Qur’an and Sunnah, and that what is meant by it is a good performance of the duty, then explaining its importance, importing it, and the difference between advice and what is similar to it, from enjoining good, denial, reproach and reprimand, backbiting and the will.
The first topic: It dealt with the ruling on advice, whether it is recommended or disliked, or forbidden, because what is meant by it is to give advice to others may be an obligation in kind, or it may be desirable or dislike
... Show MoreLet R be associative; ring; with an identity and let D be unitary left R- module; . In this work we present semiannihilator; supplement submodule as a generalization of R-a- supplement submodule, Let U and V be submodules of an R-module D if D=U+V and whenever Y≤ V and D=U+Y, then annY≪R;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes
The soft sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these concepts to define new types of soft limit points, that we called soft turning points.Finally, we used these points to define new types of soft separation axioms and we study their properties.
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Faintly continuous (FC) functions, entitled faintly S-continuous and faintly δS-continuous functions have been introduced and investigated via a -open and -open sets. Several characterizations and properties of faintly S-continuous and faintly -Continuous functions were obtained. In addition, relationships between faintly s- Continuous and faintly S-continuous function and other forms of FC function were investigated. Also, it is shown that every faintly S-continuous is weakly S-continuous. The Convers is shown to be satisfied only if the co-domain of the function is almost regular.
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the current study Included, evaluation the impact of Nitrofurantoin drug on liver in albino mice, 128 male albino mice have been used . Animals treared with (150,200 Mg/Kg) for 8 weeks . NFI caused histological changes in liver represented by , swelling of hepatocytes, disappearance of radial arrangement , vaculation of liver cells , increasing of kupffer cells and appearance of giant cells. NFT caused Congestion of blood vessels and infiltration of inflammatory cells in liver in all used concentrations.
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Nowadays, people's expression on the Internet is no longer limited to text, especially with the rise of the short video boom, leading to the emergence of a large number of modal data such as text, pictures, audio, and video. Compared to single mode data ,the multi-modal data always contains massive information. The mining process of multi-modal information can help computers to better understand human emotional characteristics. However, because the multi-modal data show obvious dynamic time series features, it is necessary to solve the dynamic correlation problem within a single mode and between different modes in the same application scene during the fusion process. To solve this problem, in this paper, a feature extraction framework of
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Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be approximately pure submodule of an R-module, if for each ideal I of R. The main purpose of this paper is to study the properties of the following concepts: approximately pure essentialsubmodules, approximately pure closedsubmodules and relative approximately pure complement submodules. We prove that: when an R-module M is an approximately purely extending modules and N be Ap-puresubmodulein M, if M has the Ap-pure intersection property then N is Ap purely extending.
The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.