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 be a ring. Given two positive integers and , an module is said to be -presented, if there is an exact sequence of -modules with is -generated. A submodule of a right -module is said to be -pure in , if for every -Presented left -module the canonical map is a monomorphism. An -module has the -pure intersection property if the intersection of any two -pure submodules is again -pure. In this paper we give some characterizations, theorems and properties of modules with the -pure intersection property.
International Journal on Technical and Physical Problems of Engineering
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In this work, an analytical approximation solution is presented, as well as a comparison of the Variational Iteration Adomian Decomposition Method (VIADM) and the Modified Sumudu Transform Adomian Decomposition Method (M STADM), both of which are capable of solving nonlinear partial differential equations (NPDEs) such as nonhomogeneous Kertewege-de Vries (kdv) problems and the nonlinear Klein-Gordon. The results demonstrate the solution’s dependability and excellent accuracy.
In this work, silver (Ag) self-metallization on a polyimide (PI) film was prepared through autocatalytic plating. PI films were prepared through the solution casting method, followed by etching with potassium hydroxide (KOH) solution, sensitization with tin chloride (SnCl2), and the use of palladium chloride (PdCl2) to activate the surface of PI. Energy-dispersive X-ray analysis (EDX) showed the highest peak in the (Ag) region and confirmed the presence of AgNPs. The diffraction peaks at 2θ = 38.2°, 44.5°, 64.6°, and 78.2° represented the 111, 200, 220, and 311 planes of Ag, respectively. The FT–IR an
... Show MoreTo explore the durability of some local species of wood to fungal deterioration among the
storage period, this research has conducted on three species Eufcalyptus cammaldulensis,
Juglans regia, presence of some genus of fungi; Aspergillus, Penicillium,Botryoderma,
Chaetomium, Phoma, Cladosporium and Pacilomyces in different intensities.
The two fungi Aspergillus and Penicillium appeared more dominants than others, therefore
they were chosen for the pathogenicity test. The results showed that the two species of fungi
preferred Juglans wood firstly were the size of infection was more than 10 times of any of the
other two woods. Eucalyptus showed similar response to that of Morus, but with Aspergillus
it was few bett
Drug overdose and poisoning are common clinical problems and could occur with Diphenhydramine hydrochloride (DFH) (one of anti histaminic drug ). It therefore important to study the adsorption of the DFH on pharmaceutical adsorbents which could serve as possible antidotes for the emergency treatment of DFH overdose or poisoning when they occur. The rate and extent of adsorption of DFH on some pharmaceutical adsorbents, bauxite were investigated spectra photometrically also the effect temperature, pH, presence of sucrose as additive have been studied as well, adsorbent's weight and partical size.The equilibrium adsorption contact times were determined for clay surface. Adsorption isotherms have been analyzed by the freundlich model. The appa
... Show MoreIn this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and the commutativity of Lie ideal under certain conditions were proved.