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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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Significance of the R16 Korea Contest as Culture Contents ('R16 코리아' 대회의 문화콘텐츠적 가치)

  • Kim, Gigook;Lee, Woojae
    • Cross-Cultural Studies
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    • v.39
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    • pp.97-125
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    • 2015
  • Significance of the R16 Korea Contest as Culture Contents. Known for relentless practice and intense moves, widespread presence on the Internet, strong ethnic elements highlighting Korean physical attributes and collective culture, b-boying occupies a special place in Korea today. News of four consecutive wins in major b-boy contests around the world have changed the common public conception that b-boys are simply a group of problem boys and students in hip-hop clothes intent on showing off their dance moves. B-boying is no longer perceived as a dance that is performed in the shadowy underground but as a dynamic and beautiful art form of physical expression that is part of today's popular culture. This paper examines the significance of R-16 Korea as culture contents and its main event, the World B-boy Masters Championship. It introduces how the contest has developed since 2007 to reach popular influence and gain international recognition. The paper also compares R-16 Korea to the world's four major b-boy contests, Battle Of The Year, UK B-boy Championship, Free Style Session, and Red Bull BC One to see if any distinctions could be found among them and to evaluate the significance of R-16 Korea as cultural content in its rise to one of the world's top 5 major b-boy contests. Finally, this study makes suggestions for b-boying to become more established as part of Korea's culture contents.

Functional characterization of the distal long arm of laminin: Characterization of Cell- and heparin binding activities

  • Sung, Uhna;O′Rear, Julian J.;Yurchenco, Peter D.
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 1995.10a
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    • pp.107-113
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    • 1995
  • Basement membrane laminin is a multidomain glycoprotein that interacts with itself, heparin and cells. The distal long arm plays major cell and heparin interactive roles. The long arm consists of three subunits (A, B1, B2) joined in a coiled-coil rod attached to a terminal A chain globule (G). The globule is in turn subdivided into five subdomains (Gl-5). In order to analyze the functions of this region, recombinant G domains (rG, rAiG, rG5, rGΔ2980-3028) were expressed in Sf9 insect cells using a baculovirus expression vector. A hybrid molecule (B-rAiG), consisting of recombinant A chain(rAiG) and the authentic B chains (E8-B)was assembled in vitro. The intercalation of rAiG into E8-B chains suppressed a heparin binding activity identified in subdomain Gl-2. By the peptide napping and ligand blotting, the relative affinity of each subeomain to heparin was assigned as Gl> G2= G4> G5> G3, such that G1 bound strongly and G3 not at all. The active heparin binding site of G domain in intact laminin appears to be located in G4 and proximal G5. Cell binding was examined using fibrosarcoma Cells. Cells adhered to E8, B-rAiG, rAiG and rG, did not bind on denatured substrates, poorly bound to the mixture of E8-B and rG. Anti-${\alpha}$6 and anti-${\beta}$1 integrin subunit separately blocked cell adhesion on E8 and B-rAiG, but not on rAiG. Heparin inhibited cell adhesion on rAiG, partially on B-rAiG, and not on E8. In conclusion, 1) There are active and cryptic cell and heparin binding activities in G domain. 2) Triple-helix assembly inactivates cell and heparin binding activities and restores u6131 dependent cell binding activities.

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Studies on the Estimation of Theromodynamic Properties for the Non-Azeotropic Refrigerant Mixtures (혼합냉매의 열역학적 물성치 추산에 관한 연구)

  • 김민수;김동섭;노승탁;김욱중;윤재호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1337-1348
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    • 1990
  • Estimations of the thermodynamic properties are made for the selected binary non-azeotropic refrigerant mixtures including R13B1/R114, R22/R114, R12/R114, R152a/R114, R13B1/R152a and R13B1/R12 using the Peng-Robinson equation of state and mixing rules. In this study, we find that the binary interaction coefficients for the above mixtures have an effect upon the vapor-liquid equilibria and the thermodynamic properties. As the binary interaction coefficient becomes larger, the deviation from the idealized model, say, Raoult`s rule, is obvious. A correlation is proposed to relate the binary interaction coefficient to the difference between the dipole moments op each pure refrigerant. Vapor-liquid equilibrium are also accurately estimated using the binary interaction coefficient. Pressure-enthalpy and temperature-entropy relations are plotted for a certain composition ratio of each refrigerant mixture. Results show that the estimating method in this study can be applied to the investigation of the thermodynamic properties for the binary non-azeotropic refrigerant mixtures.

CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.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 non-degenerate (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)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) 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 U9R). 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 $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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Divergence Analysis of 16S rRNA and rpoB Gene Sequences Revealed from the Harmful Cyanobacterium Microcystis aeruginosa (유해 남조세균 Microcystis aeruginosa의 16S rRNA 및 rpoB 유전자 염기서열 변이 분석)

  • Ki, Jang-Seu
    • Korean Journal of Microbiology
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    • v.46 no.3
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    • pp.296-302
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    • 2010
  • Microcystis (Cyanobacteria, Chroococcales) is one of the green tide-causing organisms in freshwaters, and some species produce microcystin that is hepatotoxin. In the aspects of freshwater quality controls and health concerns, therefore it is necessary to manage the harmful organisms. In the present study, RNA polymerase beta subunit (rpoB) gene sequences of Microcystis were determined and characterized in order to use a potential marker for the molecular detections of the species. Microcystis rpoB showed high divergences of DNA similarity and genetic distances when compared with those of 16S rRNA, and the molecular differences were statistically significant (Student t-test, p<0.05). Parsimony analyses showed the rpoB gene evolves more than 2-fold faster than 16S rRNA. In addition, phylogeny of the rpoB gene separated each M. aeruginosa strain more clearly compared with a 16S rRNA tree. This study found that the order Chroococcales, including Microcystis, has approximately two rRNA operons and single copy of the rpoB gene in their chromosomes. These results suggest that the rpoB gene is a useful marker for the molecular phylogenetics and the detection of Microcystis.

MicroRNA-23b is a Potential Tumor Suppressor in Diffuse Large B-cell Lymphoma (미만성 거대 B 세포 림프종(DLBCL)에서 microRNA-23b의 잠재적 종양 억제자로서의 효과)

  • Nam, Jehyun;Kim, Eunkyung;Kim, Jinyoung;Jeong, Dawoom;Kim, Donguk;Kwak, Bomi;Kim, Sang-Woo
    • Journal of Life Science
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    • v.27 no.2
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    • pp.149-154
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    • 2017
  • Diffuse large B-cell lymphoma (DLBCL) is the most common type of non-hodgkin lymphoma. Advances in the chemotherapeutic treatment of this disease have improved the outcomes of DLBCL; nonetheless, many patients still die of DLBCL, and therefore, a better understanding of this disease and identification of novel therapeutic targets are urgently required. In a recent gene expression profiling study, PDE (phosphodiesterase) 4B was found to be overexpressed in chemotherapy-resistant tumors. The major function of PDE4B is to inactivate the second messenger cyclic 3',5' monophosphate (cAMP) by catalyzing the hydrolysis of cAMP to 5'AMP. It is known that cAMP induces cell cycle arrest and/or apoptosis in B cells, and PDE4B abolishes cAMP's effect on B cells. However, the mechanism by which PDE4B is overexpressed remains unclear. Here, we show that the aberrant expression of miRNA may be associated with the overexpression of this gene. The PDE4B 3' untranslated region (UTR) has three functional binding sites of miR-23b, as confirmed by luciferase reporter assays. Interestingly, miR-23b-binding sites were evolutionarily conserved from humans to lizards, implying the critical role of PDE4B-miR-23b interaction in cellular physiology. The ectopic expression of miR-2 3b repressed PDE4B mRNA levels and enhanced intracellular cAMP concentrations. Additionally, miR-23b expression inhibited cell proliferation and survival of DLBCL cells only in the presence of forskolin, an activator of adenylyl cyclase, suggesting that miR-23b's effect is via the downregulation of PDE4B. These results together suggest that miR-23b could be a therapeutic target for overcoming drug resistance by repressing PDE4B in DLBCL.

Diagnostic Value of miR-1260b in Cervical Cancer: A Pilot Study

  • Kim, Jungho;Park, Sunyoung;Lee, Hyeyoung
    • Biomedical Science Letters
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    • v.26 no.1
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    • pp.8-13
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    • 2020
  • Cervical cancer is the fourth most common cancer in women, with approximately 528,000 new cases and 266,000 women dying of it per year in the world. MicroRNAs have recently been in the spotlight as potential biomarkers that regulate gene expression and are involved in tumorigenesis. In the present study, we evaluated miR-1260b as a potential biomarker for screening of cervical cancer by quantitative reverse transcription PCR. We profiled the TCGA data of miR-1260b in 307 cervical cancer tissues. Then, miR-1260b expression levels in 10 cervical cancer tissues and 10 noncancerous tissues were investigated in a pilot study. miR-1260b was found to be significantly up-regulated in cervical cancer FFPE tissues as compared to those in cervical normal FFPE tissues (P = 0.006). The mean expression level of miR-1260b in late-stage (IIB-IVB) was higher than in those with early-stage (IA-IIA). Furthermore, high miR-1260b was found to be associated with high hTERT and Ki-67 mRNA expression, which are representative of tumor prognosis. The results of the pilot study suggest that miR-1260b may be used as a novel biomarker for improving the diagnosis of cervical cancer.

New Transition Metal Mediated Alkylation Reaction of arachno-$S_{2}B_{7}H_{8}$, Insertion Reaction of arachno-$S_{2}B_{7}H_{8}^{-}$ with $(CO)_{5}M$ {${C(R_{1})(R_{2})}$} $(M=Cr,\;W;\;R_{1}=CH_{3},\;C_{6}H_{5};\;R_{2}=OCH_{3},\;SC_{6}H{5})$: Synthesis and Characterization of arachno-$4-RCH_{2}-6,8-S_{2}B_{7}H_{8}\;(R=CH_{3},\;IIa;\;C_{6}H_{5},\;IIb)$

  • Hee-Joo Jeon;Jae-Jung Ko;Kang-bong Lee;Sang Ook Kang
    • Bulletin of the Korean Chemical Society
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    • v.14 no.1
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    • pp.113-117
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    • 1993
  • Good yield synthetic routes for the production of new B-alkyl-dithiaborane clusters are reported. The syntheses of the B-alkyl-dithiaboranes are based on the use of Fischer-type carbene reagents to activate the B-H bonds of dithiaborane for alkyl-addition reactions and are the first examples of transition-mediated reactions of dithiaborane to be reported. Thus, reactions employing arachno-$S_2B_7H_8$- and $(CO)_5M{C(R_1)R_2}$ (M = Cr, W; $R_1 = CH_3,\;C_6H_5;\; R_2 = OCH_3,\;SC_6H_5)$ were found to yield the intermidiate anions I, $[(CO)_5M{C(R_1)R_2S_2B_7H_8}]^-$, which upon protonation gave the corresponding neutral, air-sensitive cluster arachno-4-$RCH_2-6,8-S_2B_7H_8(R=CH_3,\;IIa;\;C_6H_5,\;IIb)$ range from 30 to 35% yield. Complexes IIa and IIb are isoelectronic with arachno-6,8-$S_2B_7H_9$ and, on the basis of the spectroscopic data, are proposed to adopt a similar arachno cage geometry in which an $RCH_2$ units are substituted to 4 position boron atom of the arachno-6,8-$S_2B_7H_9$.

b-GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

  • Dhara, Basudeb
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.573-586
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    • 2018
  • Let R be a noncommutative prime ring of characteristic different from 2, Q be its maximal right ring of quotients and C be its extended centroid. Suppose that $f(x_1,{\ldots},x_n)$ be a noncentral multilinear polynomial over $C,b{\in}Q,F$ a b-generalized derivation of R and d is a nonzero derivation of R such that d([F(f(r)), f(r)]) = 0 for all $r=(r_1,{\ldots},r_n){\in}R^n$. Then one of the following holds: (1) there exists ${\lambda}{\in}C$ such that $F(x)={\lambda}x$ for all $x{\in}R$; (2) there exist ${\lambda}{\in}C$ and $p{\in}Q$ such that $F(x)={\lambda}x+px+xp$ for all $x{\in}R$ with $f(x_1,{\ldots},x_n)^2$ is central valued in R.