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THE UNITS AND IDEMPOTENTS IN THE GROUP RING OF ABELIAN GROUPS Z2×Z2×Z2 AND Z2×Z4

  • PARK, WON-SUN
    • Honam Mathematical Journal
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    • v.21 no.1
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    • pp.57-64
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    • 1999
  • Let K be a algebraically closed field of characteristic 0 and G be abelian group $Z_2{\times}Z_2{\times}Z_2$ or $Z_2{\times}Z_4$. We find the conditions which the elements of the group ring KG are unit and idempotent respecting using the basic table matrix of G. We can see that if ${\alpha}={\sum}r(g)g$ is an idempotent element of KG, then $r(1)=0,\;\frac{1}{{\mid}G{\mid}},\;\frac{2}{{\mid}G{\mid}},\;{\cdots},\frac{{\mid}G{\mid}-1}{{\mid}G{\mid}},\;1$.

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FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS WITH HOMOTOPICALLY TRIVIAL TRANSLATIONS

  • Koo, Daehwan;Park, Eunmi;Shin, Joonkook
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.1
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    • pp.113-132
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    • 2020
  • We show that if a finite group G acts freely with homotopically trivial translations on a 3-dimensional nilmanifold 𝓝p with the first homology ℤ2 ⊕ ℤp, then either G is cyclic or there exist finite nonabelian groups acting freely on 𝓝p which yield orbit manifolds homeomorphic to 𝓝/𝜋3 or 𝓝/𝜋4.

RELATION BETWEEN DIOPHANTINE TRIPLE AND ELLIPTIC CURVE

  • Park, Jinseo
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.2
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    • pp.227-236
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    • 2020
  • A set {a1, a2,, am} of positive integers is called Diophantine m-tuple if aiaj+1 is a perfect square for all 1 ≤ i < j ≤ m. In this paper, we find the structure of torsion group of elliptic curve Ek constructed by Diophantine triple, and find all integer points on Ek under assumption that rank(Ek(ℚ)) = 1.

COHOMOLOGY GROUPS OF CIRCULAR UNITS

  • Kim, Jae-Moon;Oh, Seung-Ik
    • Journal of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.623-631
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    • 2001
  • Let $\kappa$ be a real abelian field of conductor f and $\kappa$(sub)$\infty$ = ∪(sub)n$\geq$0$\kappa$(sub)n be its Z(sub)p-extension for an odd prime p such that płf$\phi$(f). he aim of this paper is ot compute the cohomology groups of circular units. For m>n$\geq$0, let G(sub)m,n be the Galois group Gal($\kappa$(sub)m/$\kappa$(sub)n) and C(sub)m be the group of circular units of $\kappa$(sub)m. Let l be the number of prime ideals of $\kappa$ above p. Then, for mm>n$\geq$0, we have (1) C(sub)m(sup)G(sub)m,n = C(sub)n, (2) H(sup)i(G(sub)m,n, C(sub)m) = (Z/p(sup)m-n Z)(sup)l-1 if i is even, (3) H(sup)i(G(sub)m,n, C(sub)m) = (Z/P(sup)m-n Z)(sup l) if i is odd (※Equations, See Full-text).

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Computed Tomography Findings Associated with Treatment Failure after Antibiotic Therapy for Acute Appendicitis

  • Wonju Hong;Min-Jeong Kim;Sang Min Lee;Hong Il Ha;Hyoung-Chul Park;Seung-Gu Yeo
    • Korean Journal of Radiology
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    • v.22 no.1
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    • pp.63-71
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    • 2021
  • Objective: To identify the CT findings associated with treatment failure after antibiotic therapy for acute appendicitis. Materials and Methods: Altogether, 198 patients who received antibiotic therapy for appendicitis were identified by searching the hospital's surgery database. Selection criteria for antibiotic therapy were uncomplicated appendicitis with an appendiceal diameter equal to or less than 11 mm. The 86 patients included in the study were divided into a treatment success group and a treatment failure group. Treatment failure was defined as a resistance to antibiotic therapy or recurrent appendicitis during a 1-year follow-up period. Two radiologists independently evaluated the following CT findings: appendix-location, involved extent, maximal diameter, thickness, wall enhancement, focal wall defect, periappendiceal fat infiltration, and so on. For the quantitative analysis, two readers independently measured the CT values at the least attenuated wall of the appendix by drawing a round region of interest on the enhanced CT (HUpost) and non-enhanced CT (HUpre). The degree of appendiceal wall enhancement (HUsub) was calculated as the subtracted value between HUpost and HUpre. A logistic regression analysis was used to identify the CT findings associated with treatment failure. Results: Sixty-four of 86 (74.4%) patients were successfully treated with antibiotic therapy, with treatment failure occurring in the remaining 22 (25.5%). The treatment failure group showed a higher frequency of hypoenhancement of the appendiceal wall than the success group (31.8% vs. 7.8%; p = 0.005). Upon quantitative analysis, both HUpost (46.7 ± 21.3 HU vs. 58.9 ± 22.0 HU; p = 0.027) and HUsub (26.9 ± 17.3 HU vs. 35.4 ± 16.6 HU; p = 0.042) values were significantly lower in the treatment failure group than in the success group. Conclusion: Hypoenhancement of the appendiceal wall was significantly associated with treatment failure after antibiotic therapy for acute appendicitis.

Effects of feed intake and water hardness on fluralaner pharmacokinetics in layer chickens

  • Sari, Ataman Bilge;Gunes, Yigit;Anlas, Ceren;Alkan, Fulya Ustun;Guncum, Enes;Ustuner, Oya;Bakirel, Tulay
    • Journal of Veterinary Science
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    • v.23 no.5
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    • pp.64.1-64.9
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    • 2022
  • Background: Fluralaner is a novel drug belonging to the isoxazoline class that acts on external parasites of domestic animals. It is used systemically via drinking water, especially against red poultry mite in layer chickens. Fluralaner is frequently used in layers infected with D. gallinae. However, no study to date has investigated the effects of feed intake and water hardness. Objectives: This study aimed to investigate the effects of variable water hardness and feed intake on the pharmacokinetic profile of fluralaner. Methods: Layer chickens were divided into four groups (n = 8): fed + purified water (Group 1), feed restricted + purified water (Group 2), feed restricted + hard water (Group 3), and feed restricted + soft water (Group 4). After administering a single dose of the drug with drinking water, the blood samples were collected for 21 days. Fluralaner concentrations in plasma samples were determined by liquid chromatography/tandem mass spectrometry. The maximum plasma concentration (Cmax), time to reach maximum plasma concentration (tmax), area under the concentration-time curve values (AUC0-21d), half-life (t1/2), and other pharmacokinetic parameters were calculated. Results: Although the highest maximum plasma concentration (Cmax) was determined in Group 1 (fed + purified water), no statistically significant difference was found in the Cmax, tmax, t1/2, MRT0-inf_obs, Vz/Fobs, and Cl/F_obs parameters between the experimental groups. Conclusions: It was concluded that the feed intake or water hardness did not change the pharmacokinetic profile of fluralaner in layer chickens. Therefore, fluralaner could be used before or after feeding with the varying water hardness in poultry industry.

Development of a MEMS-based H2S Sensor with a High Detection Performance and Fast Response Time

  • Dong Geon Jung;Junyeop Lee;Dong Hyuk Jung;Won Oh Lee;Byeong Seo Park;Daewoong Jung
    • Journal of Sensor Science and Technology
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    • v.32 no.4
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    • pp.207-212
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    • 2023
  • H2S is a toxic and harmful gas, even at concentrations as low as hundreds of parts per million; thus, developing an H2S sensor with excellent performance in terms of high response, good selectivity, and fast response time is important. In this study, an H2S sensor with a high response and fast response time, consisting of a sensing material (SnO2), an electrode, a temperature sensor, and a micro-heater, was developed using micro-electro-mechanical system technology. The developed H2S sensor with a micro-heater (circular type) has excellent H2S detection performance at low H2S concentrations (0-10 ppm), with quick response time (<16 s) and recovery time (<65 s). Therefore, we expect that the developed H2S sensor will be considered a promising candidate for protecting workers and the general population and for responding to tightened regulations.

Solar Flare Occurrence Probability depending on Sunspot Group Classification and Its Area Change

  • Lee, Kang-Jin;Moon, Yong-Jae
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.40.2-40.2
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    • 2011
  • We investigated solar flare occurrence probability depending on sunspot group classification and its area change. For this study, we used the McIntosh sunspot group classification and then selected most flare-productive six sunspot groups : DKI, DKC, EKI, EKC, FKI and FKC. For each group, we classified it into three sub-groups according to the sunspot group area change : increase, steady and decrease. For sunspot data, we used the NOAA's active region information for 19 years (from 1992.01 to 2010.12). As a result, we found that the probabilities of the all "increase" sub-groups is noticeably higher than those of other sub-groups. In case of FKC McIntosh sunspot group, for example, the M-class flare occurrence probability of the "increase" sub-group is 65% while the "decrease" and "steady" sub-groups are 50% and 44%, respectively. In summary, when sunspot group area increases, the probability of solar flares noticeably increases. This is statistical evidence that magnetic flux emergence is an very important mechanism for triggering solar flares.

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Protective Effect of Ethanol Extract of Artemisiae vulgaris L. on hepatic injury Induced by Carbon tetrachloride In Rat. (애엽 에탄올 추출물이 사염화탄소로 유발된 흰쥐의 간 손상 보호효과)

  • Kim, Ok-Kyung
    • Journal of the Korean Applied Science and Technology
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    • v.36 no.4
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    • pp.1420-1426
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    • 2019
  • This study was done to investigate the protective effects of ethanol extract Artemisiae vulgaris L(Av) on carbon tetrachloride(CCl4)intoxicated rats. Male sprague Dawley rats(200~210g)was used. experimental groups were divided into normal group, CCl4-control group, and ethanol extract CCl4-treated group. CCl4-treated groups were injected with CCl4 0.6mg/kg.b.w(i.p). The activities of Alanine aminotransferase(ALT), Aspartate aminotransferase(AST), Alkaline phosphatase(ALP), Glutamyl transpeptidase(γ-GT), Lactate dehydrogenase(LDH) in extract pretrated group was significantly decreased(p<0.05) compared to the CCl4-control group. The contents of triglyceride, cholesterol and lipid peroxide were significantly decreased(p<0.05). whereas the contents of HDL-cholesterol and glutathione(GSH) were significantly increased(p<0.05). These results suggest that extract of Artemisiae vulgaris L(Av) has hepatoprotective effect in the CCl4-intoxicated rats.