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A NOTE ON WITT RINGS OF 2-FOLD FULL RINGS

  • Cho, In-Ho;Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.121-126
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    • 1985
  • D.K. Harrison [5] has shown that if R and S are fields of characteristic different from 2, then two Witt rings W(R) and W(S) are isomorphic if and only if W(R)/I(R)$^{3}$ and W(S)/I(S)$^{3}$ are isomorphic where I(R) and I(S) denote the fundamental ideals of W(R) and W(S) respectively. In [1], J.K. Arason and A. Pfister proved a corresponding result when the characteristics of R and S are 2, and, in [9], K.I. Mandelberg proved the result when R and S are commutative semi-local rings having 2 a unit. In this paper, we prove the result when R and S are 2-fold full rings. Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is nondegenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$ (V, R) induced by B is an isomorphism), and with a quadratic mapping .phi.:V.rarw.R such that B(x,y)=(.phi.(x+y)-.phi.(x)-.phi.(y))/2 and .phi.(rx)= $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U(R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$, .., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2, we reserve the notation [ $a_{11}$, $a_{22}$] for the space.the space.e.e.e.

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Antimicrobial Activity of Maesil (Prunus mume) Extract against Vibrio vulnificus (비브리오 패혈증균에 대한 매실 추출물의 항균활성)

  • Ha, ea-Man;Jeon, Doo-Young;Im, Hyun-Chul;Yoon, Yeon-Hee;Shin, Mi-Yeong;Yoon, Ki-Bok;Kim, Jung-Beom
    • Journal of Food Hygiene and Safety
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    • v.32 no.2
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    • pp.163-169
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    • 2017
  • The purpose of this study was to estimate the antimicrobial activity of Maesil (Japanese apricot, Prunus mume) extract against Vibrio vulnificus. The strains tested in the study were 28 V. vulnificus isolates originated from fish, seawater, mud flat and seawater in fish restaurant. The vvhA gene was detected using real-time PCR and biochemical identification expressed above good identification in 28 isolates of V. vulnificus. All of V. vulnificus used in this study was susceptible to tetracycline and chloramphenicol antibiotics. These two antibiotics were considered to be useful for the treatment of patients. Maesil extracts 2.5% and 5% showed antimicrobial activity against V. cholerae NCCP 13589 and V. parahemolyticus NCCP 11143. V. vulnificus isolate and V. vulnificus NCCP 11135 showed growth inhibition at 1.25%, 2.5% and 5% of Maesil extract, respectively. Compared with V. cholerae and V. parahemolyticus, the antibacterial activity of Maesil extract against V. vulnificus was high. The minimum bactericidal concentration of Maesil extract for V. vulnificus was 1.6%. These results revealed that Maesil extract was found to be very useful for inhibiting the growth of V. vulnificus and can be expected to prevent food poisoning caused by V. vulnificus.

Swarming Differentiation of Vibrio vulnificus Downregulates the Expression of the vvhBA Hemolysin Gene via the LuxS Quorum-Sensing System

  • Kim Moon-Young;Park Ra-Young;Choi Mi-Hwa;Sun Hui-Yu;Kim Choon-Mee;Kim Soo-Young;Rhee Joon-Haeng;Shin Sung-Heui
    • Journal of Microbiology
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    • v.44 no.2
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    • pp.226-232
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    • 2006
  • Swarming has proven to be a good in vitro model for bacterial surface adherence and colonization, and the swarming differentiation of a bacterium has been shown to be coupled with changes in the expression of virulence factors associated with its invasiveness, particularly in the early stages of infection. In this study, we attempted to determine whether the expression of vvhA, which encodes for hemolysin/cytolysin (VvhA), is either upregulated or downregulated during the swarming differentiation of V. vulnificus. The insertional inactivation of vvhA itself exerted no detectable effect on the expression of V. vulnificus swarming motility. However, in our lacZ-fused vvhA transcriptional reporter assay, vvhA expression decreased in swarming V. vulnificus as compared to non-swarming or planktonic V. vulnificus. The reduced expression of vvhA in swarming V. vulnificus increased as a result of the deletional inactivation of luxS, a gene associated with quorum sensing. These results show that vvhA expression in swarming V. vulnificus is downregulated via the activity of the LuxS quorum-sensing system, suggesting that VvhA performs no essential role in the invasiveness of V. vulnificus via the adherence to and colonization on the body surfaces required in the early stages of the infection. However, VvhA may playa significant role in the pathophysiological deterioration occurring after swarming V. vulnificus is differentiated into planktonic V. vulnificus.

The numerical analysis of gas blast arcs for 800kV GCB (800kV 가스차단기의 아크특성 해석)

  • Chulkov, V.V.;Shin, Y.J.;Park, K.Y.;Song, K.D.;Choi, Y.K.
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1287-1289
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    • 1995
  • For the analysis of hot gas flow due to arc in puffer type $SF_6$ gas circuit breakers(GCBs), a program has been developed by adding function for arcing to the Fluid-in Cells(FLIC) method, which is often used for a two dimensional compressible flow problems, utilizing a simplified enthalpy flow arc model available for arcing. In this paper, the results of arc modelling for 800kV GCB are presented and compared with that of cold gas flow in the interrupters. It is shown that the nozzle clogging is the dominating factor in the pressure rise of the puffer chamber. It permits to estimate the dielectric strength of interrupters.

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Kinetics and Mechanism of Mutant O-acetylserine Sulfhydrylase-A (C43S) from Salmonella typhimurium LT-2

  • Yoon, Moon-Young
    • BMB Reports
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    • v.29 no.3
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    • pp.210-214
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    • 1996
  • The pH dependence of the kinetic parameters of mutant O-acetylserine sulfhydrylase (OASS) from Salmonella typhimurium LT-2 has been determined in order to obtain information on the chemical mechanism. The initial velocity pattern obtained by varying the concentrations of OAS at several fixed concentrations of TNB, shows an intersection on the left of the ordinate at pH 7.0, indicating that the kinetic mechanism is a sequential mechanism in which substrate inhibition by OAS is observed while the wild type enzyme showed a ping pong mechanism. The values of $V/E_t$, $V/K_{OAS}E_{t}$ and $V/K_{TNB}E_{t}$ decreased by about 68%, 14% and 16% as compared with the wild type enzyme. The $V/K_{OAS}E_{t}$ is a pK of 6.5 on the acid side of the pH profile, and the $V/K_{TNB}$ is pH independent. As compared with the wild type enzyme, the pKs in the V/K profiles are shifted, reflecting that binding of the cofactor in free E:OAS is less asymmetric.

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Physiological roles of N-acetylglucosaminyltransferase V (GnT-V) in mice

  • Miyoshi, Eiji;Terao, Mika;Kamada, Yoshihiro
    • BMB Reports
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    • v.45 no.10
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    • pp.554-559
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    • 2012
  • Oligosaccharide modification by N-acetylglucosaminyltransferase-V (GnT-V), a glycosyltransferase encoded by the Mgat5 gene that catalyzes the formation of ${\beta}1$,6GlcNAc (N-acetylglucosamine) branches on N-glycans, is thought to be associated with cancer growth and metastasis. Overexpression of GnT-V in cancer cells enhances the signaling of growth factors such as epidermal growth factor by increasing galectin-3 binding to polylactosamine structures on receptor N-glycans. In contrast, GnT-V deficient mice are born healthy and lack ${\beta}1$,6GlcNAc branches on N-glycans, but develop immunological disorders due to T-cell dysfunction at 12-20 months of age. We have developed Mgat5 transgenic (Tg) mice (GnT-V Tg mice) using a ${\beta}$-actin promoter and found characteristic phenotypes in skin, liver, and T cells in the mice. Although the GnT-V Tg mice do not develop spontaneous cancers in any organs, there are differences in the response to external stimuli between wild-type and GnT-V Tg mice. These changes are similar to those seen in cancer progression but are unexpected in some aspects. In this review, we summarize what is known about GnT-V functions in skin and liver cells as a means to understand the physiological roles of GnT-V in mice.

A Study on Refining and Melting of V by Electron Beam Melting (전자선 용해법에 의한 V의 정련 및 용해에 관한 연구)

  • Kim, Hwi-Joon;Baik, Hong-Koo;Yun, Woo-Young;Lee, Zin-Hyoung;Kang, Choon-Sik
    • Journal of Korea Foundry Society
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    • v.15 no.3
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    • pp.235-241
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    • 1995
  • In order to improve the production process of low cost and high purity Vanadium, this study was done to reduce $V_2O_5$ into V-Al master alloy by Aluminothermic Reduction, followed by refining of V-Al master alloy electron beam melting. As melting time was increased in electron beam melting of V, the contents of interstitial impurities and Al, Fe were decreased but the contents of Si, Mo and W were increased due to lower vapor pressure of these elements than that of matrix V. Consequently, it was profitable that melting of V was done for 180 seconds. In addition, with number of melting, the purity of V did not significantly vary, because volatile impurities in V were removed mostly during the first step of melting. As a result of V refining by electron beam melting, high purity Vanadium of 3N(99.91wt%) was acquired including interstitial impurities total contents of which were maximum 400ppm.

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OPTICAL AND NIR PHOTOMETRY OF OPEN CLUSTER NGC 7790

  • LEE JUNG-DEOK;LEE SANG-GAK
    • Journal of The Korean Astronomical Society
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    • v.32 no.2
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    • pp.91-107
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    • 1999
  • We present BVRI CCD photometry and near-infrared K photometry of the intermediate-aged open cluster NGC 7790. The reddening, E(B - V) = 0.54 $\pm$ 0.05 and the distance modulus, (m - M)o = 12.45 $\pm$ 0.10 for the cluster were determined by zero-age-main-sequence fitting and theoretical isochrone fitting using not only (V, B - V), (V, V - 1), (V, V - R) but also (V, V - K) color-magnitude diagrams. The reddening corresponded approximately to the average value derived from previous studies, while the distance modulus was found to be almost midway between the CCD photometric results of Romeo et al. (1989) and those of Mateo & Madore (1988). We have used four colors to distinguish members from field stars. The expected colors were calculated using the derived distance modulus, and were then were compared with the observed colors (B - V), (V - 1), (V - R), and (V - K). Thus, a color excess E(B - V) for each star was determined which could give the minimum difference between the calculated and observed colors. Single and binary members of the cluster were determined on the basis of the E(B - V) distribution of stars.

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Complexity Issues of Perfect Roman Domination in Graphs

  • Chakradhar, Padamutham;Reddy, Palagiri Venkata Subba
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.661-669
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    • 2021
  • For a simple, undirected graph G = (V, E), a perfect Roman dominating function (PRDF) f : V → {0, 1, 2} has the property that, every vertex u with f(u) = 0 is adjacent to exactly one vertex v for which f(v) = 2. The weight of a PRDF is the sum f(V) = ∑v∈V f(v). The minimum weight of a PRDF is called the perfect Roman domination number, denoted by γRP(G). Given a graph G and a positive integer k, the PRDF problem is to check whether G has a perfect Roman dominating function of weight at most k. In this paper, we first investigate the complexity of PRDF problem for some subclasses of bipartite graphs namely, star convex bipartite graphs and comb convex bipartite graphs. Then we show that PRDF problem is linear time solvable for bounded tree-width graphs, chain graphs and threshold graphs, a subclass of split graphs.

A Development of 22.9kV Arcing Horn for Distribution Line Towers (22.9kV 배전철탑용 아킹혼 설계)

  • Oh Hun;Sohn Hong-Kwan
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.2
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    • pp.70-75
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    • 2006
  • Owing to the strike of lightning a breakage of insulator would happen. This breakage may give rise to many problems such as increment of reclosing failure, a drop for reliance and a hardship of maintenance and repair. To solve those problem, this study develop a protected equipment for insulator which is suitable to 22.9[kV] distribution line towers and is purposed to investigation for a Proper adaption, Protection efficiency of insulator and effect of adaption.