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ON THE FIRST GENERALIZED HILBERT COEFFICIENT AND DEPTH OF ASSOCIATED GRADED RINGS

  • Mafi, Amir;Naderi, Dler
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.407-417
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    • 2020
  • Let (R, m) be a d-dimensional Cohen-Macaulay local ring with infinite residue field. Let I be an ideal of R that has analytic spread ℓ(I) = d, satisfies the Gd condition, the weak Artin-Nagata property AN-d-2 and m is not an associated prime of R/I. In this paper, we show that if j1(I) = λ(I/J) + λ[R/(Jd-1 :RI+(Jd-2 :RI+I):R m)] + 1, then I has almost minimal j-multiplicity, G(I) is Cohen-Macaulay and rJ(I) is at most 2, where J = (x1, , xd) is a general minimal reduction of I and Ji = (x1, , xi). In addition, the last theorem is in the spirit of a result of Sally who has studied the depth of associated graded rings and minimal reductions for m-primary ideals.

Study on Polarographic Reduction of p-Nitrobenzeneazoresorcinol in Dimethylsulfoxide (디메틸술폭시드용매 속에서 파라니트로벤젠아조레조르시놀의 폴라로그래피的 還元에 관한 硏究)

  • Chil Nam Choe;Ki Hyung Jo;Chu Hyun Choe
    • Journal of the Korean Chemical Society
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    • v.30 no.5
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    • pp.433-440
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    • 1986
  • The direct current polarographic behavior of 4n-BAR in dimethylsulfoxide as an aprotic solvent have been investigated. The reduction of 4n-BAR in 0.05M sodium perchlorate solution proceeds along two one-electron steps to give the corresponding compound containing hydrazo groups, each reduction wave was considerably diffusion controlled and irreversible. By addition of acid HAc to 4n-BAR in DMSO solvent, the two reduction waves have coalesced into one in the condition M $\geq$ mole ratio, acid/reductant(M = 2), the slope of $log(i_d-i)(Mi_d/2-i)/i$/ vs. (-E) is irreversible along one-electron steps reduction waves.

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Electrochemical Properties of Binuclear Tetradentate Schiff Base Cobalt(II), Nickel(II) and Copper(II) Complexes in Nonaqueous Solvents. (V) (비수용매에서 이핵성 네자리 Schiff Base Cobalt(II), Nickel(II) 및 Copper(II) 착물들의 전기화학적 성질 (제 5 보))

  • Chjo Ki-Hyung;Choi Yong-Kook;Lee Song-Ju;Kim Chan-Young;Rim Chae-Pyeong
    • Journal of the Korean Chemical Society
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    • v.36 no.5
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    • pp.709-719
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    • 1992
  • We synthesized the binuclear tetradentate Schiff base cobalt(II), nickel(II) and copper(II) complexes such as [Co(II)_2(TSBP)(L)_4], [Ni(II)_2(TSBP)(II)_4] and [Cu(II)_2(TSBP)] (TSBP: 3,3',4,4'-tetra(salicylideneimino)-1,1'-biphenyl, L: Py, DMSO and DMF). We identified the binucleated structure of these complexes by elemental analysis, IR-spectrum, UV-visible spectrum, T.G.A. and D.S.C. According to the results for cyclic voltammogram and differential pulse polarogram of 1 mM complexes in nonaqueous solvents included 0.1M TEAP-L (L; Py, DMSO and DMF) as supporting electrolyte, it was found that diffusionally controlled redox processes of four steps through with one electron for binucleated Schiff base Cobalt(II) complex was Co(III)_2 {^\longrightarrow \\_\longleftarrow^e^-}Co(III)Co(II)_2{^\longrightarrow \\_\longleftarrow^e^-}Co(II){^\longrightarrow \\_\longleftarrow^e^-}Co(I){^\longrightarrow \\_\longleftarrow^e^-}Co(I)_2 and two steps with one electron for Nickel(II) and Copper(II) complexes were M(II)_2 {^\longrightarrow \\_\longleftarrow^e^-}M(I)M(I){^\longrightarrow \\_\longleftarrow^e^-}M(I)_2 (M; Ni and Cu) in nonaqueous solvents.

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m-CANONICAL IDEALS IN SEMIGROUPS

  • Kwak, Dong-Je;Kim, Myeong-Og;Park, Young-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.577-586
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    • 2000
  • For a grading monoid S, we prove that (1) if (S, M) is a valuation semigroup, then M is an m-canonical ideal, that is, an ideal M such that M : (M:J)=J for every ideal J of S. (2) if S is an integrally closed semigroup and S has a principal m-canonical ideal, then S is a valuation semigroup, and (3) if S is a completely integrally closed and S has an m-canonical ideal I, then every ideal of S is I-invertible, that is, J+(I+J)=I for every ideal J of S.

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New Phenylpropanoids from Sasa quelpaertensis Nakai with Tyrosinase Inhibition Activities

  • Sultana, Nasim;Lee, Nam-Ho
    • Bulletin of the Korean Chemical Society
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    • v.30 no.8
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    • pp.1729-1732
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    • 2009
  • Bioactivity-guided fractionation led to the isolation of two new phenylpropanoids, 3-O-p-coumaroyl-1-(4-hydroxy- 3,5-dimethoxyphenyl)-1-propanone (1) and 3-O-p-coumaroyl-1-(4-hydroxy-3,5-dimethoxyphenyl)-1-O-$\beta$-gulcopyranosylpropanol (2), together with three known compounds, N-p-coumaroylserotonin (3), N-feruloylserotonin (4) and p-coumaric acid (5) from the leaves of Sasa quelpaertensis Nakai. Their structures were elucidated by spectroscopic methods including 1D and 2D-NMR. Compared to arbutin (I$C_{50}$ 0.048 mM) as a control, compounds 3 and 4 exhibited stronger tyrosinase inhibition activities with an I$C_{50}$ values of 0.027 mM and 0.026 mM, respectively. Compounds 1 (I$C_{50}$ 0.055 mM) and 2 (I$C_{50}$ 0.053 mM) also showed strong activities.

Distribution Patterns of Sandy Bottom Macrobenthic Community on the Hupo Coastal Area, in the East Sea of Korea (동해 후포주변 사질조하대에 서식하는 대형저서동물군집의 분포특성)

  • Paik, Sang-Gyu;Kang, Rae-Seon;Jeon, Jae-Ok;Lee, Jae-Hac;Yun, Sung-Gyu
    • Ocean and Polar Research
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    • v.29 no.2
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    • pp.123-134
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    • 2007
  • Distribution patterns of sandy bottom macrobenthic communities were studied around the Hupo coastal area. The seasonal surveys were conducted at 15 chosen sites within a depth range of 10 to 50 m along 10 km of the coastline using a Smith-McIntyre grab $(0.05\;m^2)$ in 2005. Overall depth distribution following the direction of the offshore become deeper parallel to the coastline. A total of 319 macrobenthic species were sampled with a mean density of $1,972\;ind./m^2$, and mean biomass was 82.5 wet-weight $g/m^2$. The major individual-dominant species were three polychaetes Spiophanes bombyx ($436\;ind./m^2$), Scoletoma longifolia ($250\;ind./m^2$) and Magelona japonica ($170\;ind./m^2$), and bivalve Adontorhina subquadrata ($73\;ind./m^2$). Cluster analysis and non-metric multidimensional scaling (nMDS) analysis based on Bray-Curtis similarity identified 2 major station groups which corresponded to macrobenthic faunal assemblages and their characteristic species. In addition, environmental conditions were significantly different between station groups. Group I contained mostly 20 and 50 m deep sites and was associated with sandy mud. Group I was characterized by high abundance of S. bombyx, S. longifolia, A. subquadrata. It was divided into two sub-groups (I-I and I-II) in relation to depth. Sub-group I-I was associated with deeper sites than sub-group I-II. Group II included mostly inshore area shallower than 15 m and was associated with coarse and medium sand. Group II was characterized by Lumbrinerides hayashii and Urothoe grimaldii japonica.

Properties of Chorismate Mutase from intrasporangium sp. (Intrasporangium속 방선균의 Chorismate Mutase 성질)

  • 조원대;신광순;최용진;양한철
    • Microbiology and Biotechnology Letters
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    • v.16 no.4
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    • pp.310-315
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    • 1988
  • Two isoenzymes of chorismate mutase(E.C.5.4.99.5) designated as chorismate mutase I(CM I) and chorismate mutase II(CM II), were detected and partially purified from a sp. of intrasporangium isolated from soil. CM I and CM II had pH optima of pH 6.5 and 8.0, respectively and showed the same temperature optimum of 45$^{\circ}C$. The activation energy of the enzymatic reaction was estimated to be 14.7kcal/ mole with CM I and 10.8kcal/mole with CM II. The affinity of isoenzyme CM I for substrate(Km= 1.35mM) was almost the same level as that of CM II(Km = 1.22mM). Both isoenzymes were stable at pH values ranged from pH 6.5 to 9.0, but rapidly denaturated at temperatures above 45$^{\circ}C$. CM II was activated about 7$^{\circ}C$ of its activity by $Ba^{++}$ or $Mg^{++}$ while CM I was slightly inhibited by the same metal ions. Thiol compounds were found not to be necessary for stability of the two enzymes but Co$^{++}$ and EDTA had a little stabilizing effect on CM II only. p-Chloromercuribenzoate strongly inactivated the activities of both enzymes but the reducing agents such as dithiothreitol and L-cysteine protected them against the pCMB inhibition.

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ON CYCLIC DECOMPOSITIONS OF THE COMPLETE GRAPH INTO THE 2-REGULAR GRAPHS

  • Liang, Zhihe
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.261-271
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    • 2007
  • The symbol C($m_1^{n_1}m_2^{n_2}{\cdots}m_s^{n_s}$) denotes a 2-regular graph consisting of $n_i$ cycles of length $m_i,\;i=1,\;2,\;{\cdots},\;s$. In this paper, we give some construction methods of cyclic($K_v$, G)-designs, and prove that there exists a cyclic($K_v$, G)-design when $G=C((4m_1)^{n_1}(4m_2)^{n_2}{\cdots}(4m_s)^{n_s}\;and\;v{\equiv}1(mod\;2|G|)$.

Effects of camptothecin on the expression of DNA topoisomerase I and c-myc in HL-60 human leukemia cells (HL-60 사람 백혈병 세포에서 camptothecin이 DNA topoisomerase l과 c-myc의 발현에 미치는 영향)

  • 정인철;정대성;류경자;박장수;조무연
    • Journal of Life Science
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    • v.10 no.6
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    • pp.621-629
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    • 2000
  • Camptothecin (CPT) is an antitumor alkaloid that has been isolated from the Chinese tree, Camptotheca acuminata. The cytotoxicity of CPT has been correlated to its inhibition of DNA topoisomerase (Topo) I by stabilizing drug-enzyme-DNA “cleavable complex" resulting in DNA single-strand breaks and DNA-protein crosslinks. This studies were designed to elucidate whether CPT regulates Topo I mediated by CPT in DNAs containing c-myc protooncogene. We have conducted experiments on Topo I purification, pUC-MYC I cloning and Topo I assay using electrophoresis, quantitative RT-PCR and Northern blotting techniques. CPT ingibited the relaxation activity of Topo I in pUC19 DNA at various concentrations (1-1000 $\mu$M), while it enhanced the cleavage of Topo I in the pUC-MYC I by forming a cleavable complex at relatively high concentrations (100-1000 $\mu$M). In HL-60 cells treated with CPT, the expression of c-myc gene was decreased over that in the control group with no changes in the expression of Topo I mRNA. Our results suggest that Topo I is the target of CPT cytotoxicity but it does not affect Topo I extression, and the suppression of c-myc mRNA expression by CPT is due to c-myc damage resulted from formation of a cleavable complex with CPT. CPT.

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Study on Standardization of Korean Version of Psychiatric Diagnostic Screening Questionnaire(K-PDSQ) (한국판 정신장애 진단 선별 질문지의 표준화 연구)

  • Choi, Hyeong-Keun;Jung, Sung-Won;Jo, Hyun-Ju;Kim, Jeong-Bum;Jung, Chul-Ho
    • Anxiety and mood
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    • v.9 no.1
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    • pp.31-37
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    • 2013
  • Objective : The PDSQ is a brief and psychometrically strong self-report scale designed to screen for common DSM-IV Axis I disorders in clinical settings. In this study, the K-PDSQ was compared with the M.I.N.I.-Plus (Mini-International Neuropsychiatric Interview-Plus) for diagnostic validity and availability of the K-PDSQ as a part of standardization of the K-PDSQ. Methods : The 640 patients were evaluated with the K-PDSQ and the M.I.N.I.-Plus. Diagnosing with the M.I.N.I.-Plus, the diagnostic correspondence, administering time, sensitivity, specificity, ROC curve, and AUC of the K-PDSQ were evaluated. Results : For the diagnostic correspondence of the K-PDSQ, Cohen's kappa coefficient was .66 between the K-PDSQ and the M.I.N.I.-Plus. The administering time of the K-PDSQ was $18.2{\pm}11.80$ minutes. Both sensitivity and specificity of the K-PDSQ were higher: the mean sensitivity across 10 subscales of K-PDSQ was 86%; the mean specificity was 84%. All AUCs of each subscale were above .80, which were statistically significant. Conclusion : The K-PDSQ is valid and available as a diagnostic screening tool. It will be widely used in clinical settings for screening DSM-IV Axis I diagnosis because of its simplicity and high reliability.