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On Separation Axioms in Fuzzifying Bitopological Spaces
Ahmed Abd El-Monsef Allam,Ahmed Mohammed Zahran,Ahmed Khalf Mousa,Hana Mohsen Binshahnah 한국지능시스템학회 2020 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.20 No.1
In present paper, we introduce and study the concepts of T₀<SUP>(i;j)</SUP>-, T₁<SUP>(i;j)</SUP> -, T₂<SUP>(i;j)</SUP>(pairwise Hausdorff)-, TR<SUP>(i;j)</SUP> (pairwise regularity)-, TN<SUP>(i;j)</SUP> (pairwise normality)-, R₀<SUP>(i;j)</SUP>-, R₁<SUP>(i;j)</SUP>-, T₃<SUP>(i;j)</SUP> - and T₄<SUP>(i;j)</SUP> - separation axioms in fuzzifying bitopological spaces and study some relations between them. Also we investigate the image of these kinds of fuzzifying bitopological spaces under some types of fuzzy mappings.
Mahmoud, Ayman M.,Alqahtani, Sultan,Othman, Sarah I.,Germoush, Mousa O.,Hussein, Omnia E.,Al-Basher, Gadh,Khim, Jong Seong,Al-Qaraawi, Maha A.,Al-Harbi, Hanan M.,Fadel, Abdulmannan,Allam, Ahmed A. Hindawi 2017 Oxidative medicine and cellular longevity Vol.2017 No.-
<P>Hyperammonemia is a serious complication of liver disease and may lead to encephalopathy and death. This study investigated the effects of <I>Commiphora molmol</I> resin on oxidative stress, inflammation, and hematological alterations in ammonium chloride- (NH<SUB>4</SUB>Cl-) induced hyperammonemic rats, with an emphasis on the glutamate-NO-cGMP and Nrf2/ARE/HO-1 signaling pathways. Rats received NH<SUB>4</SUB>Cl and <I>C. molmol</I> for 8 weeks. NH<SUB>4</SUB>Cl-induced rats showed significant increase in blood ammonia, liver function markers, and tumor necrosis factor-alpha (TNF-<I>α</I>). Concurrent supplementation of <I>C. molmol</I> significantly decreased circulating ammonia, liver function markers, and TNF-<I>α</I> in hyperammonemic rats. <I>C. molmol</I> suppressed lipid peroxidation and nitric oxide and enhanced the antioxidant defenses in the liver, kidney, and cerebrum of hyperammonemic rats. <I>C. molmol</I> significantly upregulated Nrf2 and HO-1 and decreased glutamine and nitric oxide synthase, soluble guanylate cyclase, and Na<SUP>+</SUP>/K<SUP>+</SUP>-ATPase expression in the cerebrum of NH<SUB>4</SUB>Cl-induced hyperammonemic rats. Hyperammonemia was also associated with hematological and coagulation system alterations. These alterations were reversed by <I>C. molmol</I>. Our findings demonstrated that <I>C. molmol</I> attenuates ammonia-induced liver injury, oxidative stress, inflammation, and hematological alterations. This study points to the modulatory effect of <I>C. molmol</I> on glutamate-NO-cGMP and Nrf2/ARE/HO-1 pathways in hyperammonemia. Therefore, <I>C. molmol</I> might be a promising protective agent against hyperammonemia.</P>