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Noether Normalization Implies Full Form of Hilbert Nullstel lensatz Theorem
Alborz Azarang 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.1
We give a new proof for the full form of Hilbert’s Nullstellensatz based on on integral extension and Noether’s Normalization Lemma.
Sookhakian, M.,Ridwan, N. A.,Zalnezhad, E.,Yoon, G. H.,Azarang, Majid,Mahmoudian, M. R.,Alias, Y. The Electrochemical Society 2016 Journal of the Electrochemical Society Vol.163 No.5
<P>Efficient and low-cost platinum-free counter electrodes consisting of reduced graphene oxide (rGO) and copper nanopolyhedra (Cu) were fabricated on indium tin oxide (ITO) glass using a layer-by-layer electrochemical deposition. The structure and morphology of the as-fabricated counter electrodes were confirmed by X-ray diffraction, field-emission electron microscopy, and Raman spectroscopy. rGO-Cu-modified ITO electrodes, with different rGO loadings, were applied as catalytic counter electrodes in dye-sensitized solar cells (DSSCs) with an electrodeposited ZnO nanorod array as the photoanode. The current density-voltage curves and transient photocurrent measurements illustrate that the power conversion efficiency of the ZnO nanorod photoanode is significantly improved by the formation of rGO on the counter electrode. On the basis of electrochemical impedance spectroscopy, it is determined that the increased electrocatalytic activity of the rGO-Cu counter electrode is due to an enhanced conductivity of the counter electrodes. The maximum conversion efficiency is obtained for the rGO-Cu counter electrode with 0.5 mg ml(-1) of rGO and has one and one half the efficiency achieved using a counter electrode modified only with Cu nanopolyhedra. (C) 2016 The Electrochemical Society. All rights reserved.</P>
Tajabadi, M.T.,Sookhakian, M.,Zalnezhad, E.,Yoon, G.H.,Hamouda, A.M.S.,Azarang, M.,Basirun, W.J.,Alias, Y. New York] ; North-Holland 2016 APPLIED SURFACE SCIENCE - Vol.386 No.-
An efficient non-enzymatic biosensor electrode consisting of nitrogen-doped graphene (N-graphene) and platinum nanoflower (Pt NF) with different N-graphene loadings were fabricated on indium tin oxide (ITO) glass using a simple layer-by-layer electrophoretic and electrochemical sequential deposition approach. N-graphene was synthesized by annealing graphene oxide with urea at 900<SUP>o</SUP>C. The structure and morphology of the as-fabricated non-enzymatic biosensor electrodes were determined using X-ray diffraction, field emission electron microscopy, transmission electron microscopy, Raman and X-ray photoelectron spectra. The as-fabricated Pt NF-N-graphene-modified ITO electrodes with different N-graphene loadings were utilized as a non-enzymatic biosensor electrode for the detection of hydrogen peroxide (H<SUB>2</SUB>O<SUB>2</SUB>). The behaviors of the hybrid electrodes towards H<SUB>2</SUB>O<SUB>2</SUB> reduction were assessed using chronoamperometry, cyclic voltammetry and electrochemical impedance spectroscopy analysis. The Pt NF-N-graphene-modified ITO electrode with a 0.05mgml<SUP>-1</SUP> N-graphene loading exhibited the lowest detection limit, fastest amperometric sensing, a wide linear response range, excellent stability and reproducibility for the non-enzymatic H<SUB>2</SUB>O<SUB>2</SUB> detection, due to the synergistic effect between the electrocatalytic activity of the Pt NF and the high conductivity and large surface area of N-graphene.