• Title/Summary/Keyword: S.M.R

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On Two Versions of Cohen's Theorem for Modules

  • Xiaolei Zhang;Wei Qi;Hwankoo Kim
    • Kyungpook Mathematical Journal
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    • v.63 no.1
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    • pp.29-36
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    • 2023
  • Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that a finitely generated R-module M is Noetherian if and only if for every prime ideal 𝔭 of R with Ann(M) ⊆ 𝔭, there exists a finitely generated submodule N𝔭 of M such that 𝔭M ⊆ N𝔭 ⊆ M(𝔭), where M(𝔭) = {x ∈ M | sx ∈ 𝔭M for some s ∈ R \ 𝔭}. In this paper, we generalize the Parkash and Kour version of Cohen's theorem for Noetherian modules to S-Noetherian modules and w-Noetherian modules.

Synthesis and Characterization of Group 13 Compounds of 2-Acetylpyridine Thiosemicarbazone. Single-Crystal Structure of $(iC_4H_9)-2Al(NC_5H_4C(CH_3)$NNC(S)NHPh)

  • 강영진;강상옥;고재정;손정인
    • Bulletin of the Korean Chemical Society
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    • v.20 no.1
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    • pp.65-68
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    • 1999
  • Novel mononuclear group 13 metal complexes with the formula (R2M){NC5H4C(CH3)NNC(S)NH(C6H5)} (M=Al, R=iC4H9 (1); M=Ga, R=iC4H9 (2); M=Al, R=CH2SiMe3 (3); M=Ga, R=CH2SiMe3 (4)) result when 2-acetyl pyridine 4-phenyl-thiosemicarbazone ligand is mixed with trialkyl aluminum or trialkylgallium. These compounds 1-4 are characterized by microanalysis, NMR (1H, 13C) spectroscopy, mass spectra, and singlecrystal X-ray diffraction. X-ray single-crystal diffraction analysis reveals that 1 is mononuclear metal compound with coordination number of 5 and N, N, S-coordination mode.

EXISTENCE OF SOLUTIONS FOR FRACTIONAL p&q-KIRCHHOFF SYSTEM IN UNBOUNDED DOMAIN

  • Bao, Jinfeng;Chen, Caisheng
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1441-1462
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    • 2018
  • In this paper, we investigate the fractional p&q-Kirchhoff type system $$\{M_1([u]^p_{s,p})(-{\Delta})^s_pu+V_1(x){\mid}u{\mid}^{p-2}u\\{\hfill{10}}={\ell}k^{-1}F_u(x,\;u,\;v)+{\lambda}{\alpha}(x){\mid}u{\mid}^{m-2}u,\;x{\in}{\Omega}\\M_2([u]^q_{s,q})(-{\Delta})^s_qv+V_2(x){\mid}v{\mid}^{q-2}v\\{\hfill{10}}={\ell}k^{-1}F_v(x,u,v)+{\mu}{\alpha}(x){\mid}v{\mid}^{m-2}v,\;x{\in}{\Omega},\\u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}{\subset}{\mathbb{R}}^N$ is an unbounded domain with smooth boundary ${\partial}{\Omega}$, and $0<s<1<p{\leq}q$ and sq < N, ${\lambda},{\mu}>0$, $1<m{\leq}k<p^*_s$, ${\ell}{\in}R$, while $[u]^t_{s,t}$ denotes the Gagliardo semi-norm given in (1.2) below. $V_1(x)$, $V_2(x)$, $a(x):{\mathbb{R}}^N{\rightarrow}(0,\;{\infty})$ are three positive weights, $M_1$, $M_2$ are continuous and positive functions in ${\mathbb{R}}^+$. Using variational methods, we prove existence of infinitely many high-energy solutions for the above system.

A STUDY ON R-GROUPS WITH MR-PROPERTY

  • CHO YONG UK
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.573-583
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    • 2005
  • In this paper, all near-rings R are left near-rings and all representations of R are (right) R-groups. We start with a study of AR, almost AR and AGR rings which are motivated by the works on the Sullivan's Problem [10] and its properties. Next, for any R-group G, we introduce a notion of R-groups with M R-property and investigate their properties and some characterizations of these R-groups. Finally, for the faithful M R-property, we get a commutativity of near-rings and rings.

$\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES

  • Chen, Mingzhao;Wang, Fanggui
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.961-976
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    • 2019
  • Let R be any commutative ring and S be any multiplicative closed set. We introduce an S-version of $\mathcal{F}$-Mittag-Leffler modules, called $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, and define the projective dimension with respect to these modules. We give some characterizations of $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, investigate the relationships between $\mathcal{F}$-Mittag-Leffler modules and $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, and use these relations to describe noetherian rings and coherent rings, such as R is noetherian if and only if $R_S$ is noetherian and every $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler module is $\mathcal{F}$-Mittag-Leffler. Besides, we also investigate the $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension of R, and prove that $R_S$ is noetherian if and only if its $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension is zero; $R_S$ is coherent if and only if its $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension is at most one.

Simulating flood inflow to multipurposed dam on 2020.8.7.~8.8 storm with ONE model (ONE 모형에 의한 2020.8.7.~8.8. 호우의 댐 유입량 모의)

  • Noh, Jaekyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.120-120
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    • 2021
  • 2020년 8월 7일부터 8월 8일까지 호우는 용담댐, 섬진강댐, 합천댐 하류 유역의 막대한 침수피해를 일으켰다. 이들 다목적 댐 유입량의 신뢰도 높은 모의는 홍수기 댐 운영 및 하류하천의 홍수 해석에 필수다. 여기서는 일 유출 모의 기반으로 개발된 ONE 모형을 10분 단위, 1시간 단위로 적용한 결과를 제시하고자 한다. 보통 홍수모의는 사상별로 실시하지만, 여기서는 1월1일부터 12월 31일까지 연속으로 모의한 결과에서 해당 홍수사상 결과를 제시하였다. 3개 다목적 댐의 홍수사상은 8월6일부터 8월 10일까지 5일간으로 설정하였다. 유역면적은 용담댐, 섬진강댐, 합천댐, 각각 930km2, 763km2, 925km2, 총강우량은 각각 490.7mm, 451.9mm, 452.4mm, 첨두유입량은 10분 단위는 각각 4,872.7m3/s, 3,533.7.0m3/s, 2,776.0m3/s, 1시간 단위는 각각 4,394.9m3/s, 3,401.8m3/s, 2,745.6m3/s, 총유입량은 각각 3억8,836만m3, 3억1,324만m3, 3억2,816만m3였다. 첨두유입량 상대오차가 0일 때의 매개변수로 모의한 결과를 제시하며, 총유입량 상대오차(Vq), R2, RMSE, NSE 등으로 평가하였다. 용담댐 결과는 10분 단위 경우 최대면적강우량 7.3mm, 첨두유입량 4,872.4m3/s, 총유입량 3억 8,138만m3, Vq 1.9%, R2 0.968, RMSE 207.347, NSE 0.978였고, 1시간의 경우 최대면적강우량 29.6mm, 첨두유입량 4394.9m3/s, 총유입량 4억157만m3, Vq -8.4%, R2 0.970, RMSE 186.962, NSE 0.982였다. 섬진강댐 결과는 10분 단위 경우 최대면적강우량 9.2mm, 첨두유입량 3,533.3m3/s, 총유입량 2억7,223만m3, Vq 18.4%, R2 0.885, RMSE 808.296, NSE 0.925였고, 1시간의 경우 최대 면적강우량 37.9mm, 첨두유입량 3401.6m3/s, 총유입량 2억7,029만m3, Vq 13.7%, R2 0.907, RMSE 285.544, NSE 0.936였다. 합천댐 결과는 10분 단위 경우 최대면적강우량 5.5mm, 첨두유입량 2,776.2m3/s, 총유입량 3억3,667만m3, Vq -2.7%, R2 0.941, RMSE 191.896, NSE 0.965였고, 1시간의 경우 최대면적강우량 17.0mm, 첨두유입량 2,746.7m3/s, 총유입량 3억1,333만m3, Vq 4.5%, R2 0.965, RMSE 140.739, NSE 0.981였다. 이상 ONE 모형으로 10분, 1시간 단위의 댐 홍수 유입량 모의결과는 높은 신뢰도를 나타냈다.

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A 16S rDNA polymerase chain reaction assay to detect Mycoplasma pulmonis in rats model

  • Hong, Sunhwa;Lee, Hyun-A;Choi, Yeon-Shik;Chung, Yungho;Kim, Okjin
    • Korean Journal of Veterinary Service
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    • v.38 no.2
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    • pp.101-106
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    • 2015
  • Murine mycoplasmosis, caused by Mycoplasma (M.) pulmonis, is a prominent disease in rodent animals. The aim of this study was to develop a sensitive and specific PCR assay to detect M. pulmonis in animals and to assess the suitability of this assay for the detection of mycoplasmal infection in rats experimentally infected with M. pulmonis. A new PCR assay using the M. pulmonis-specific primer pairs MPul-F and MPul-R was developed. The primers and probe for the assay were designed from regions in the 16S rRNA gene that are unique to M. pulmonis. The novel PCR assay was very specific and sensitive for M. pulmonis, detecting the equivalent of 5 pg of target template DNA. It detected only M. pulmonis and no other Mycoplasma species or other bacterial species. The newly developed PCR assay also effectively detected M. pulmonis infection in rats. These results suggest that this PCR assay using M. pulmonis-specific primer pairs of MPul-F and MPul-R will be useful and effective for monitoring M. pulmonis infection in animals.

Comparison of Condenser Characteristics using R134a and R22 under the Same Inlet Temperature Condition (동일한 유입온도조건에서 R134a와 R22 적용 응축기의 특성비교)

  • Kang, Shin-Hyung;Byun, Ju-Suk;Kim, Chang-Duk
    • Journal of Energy Engineering
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    • v.15 no.3 s.47
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    • pp.166-173
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    • 2006
  • R134a is considered as an alternative refrigerant to R22 for air conditioners. An experimental investigation was made to study the characteristics of the heat transfer and pressure drop for R134a flowing in a fin-and-tube heat exchanger used for commercial air-conditioning units. Experiments were carried out under the conditions of inlet refrigerant temperature of $60^{\circ}C$ and refrigerant mass fluxes of $150,\;200,\;and\;250\;kg/m^{2}s$. The inlet air has dry bulb temperature or $35^{\circ}C$, relative humidity of 40% and air velocity varying from 0.68 to 1.6 m/s. Experiments show that air velocity decreased by 5.9% is needed for R134a than that of R22 while pressure drop for R134a was $18.1{\sim}20.4%$ higher than that of R22 for the degree of subcooling $5^{\circ}C$. The results are useful in designing more compact and effective condensers for various refrigeration and air conditioning systems using refrigerant R134a.

The Stability Test of New Carbapenem DWP20418 and Partial Purification and Characterization of Renal Dehydropeptidase-I (돼지 신장으로부터 디펩티다제의 부분정제 및 그에 대한 신규 카바페넴계 항생물질 DWP20418의 안정성 평가)

  • Kim, Ji-Yeon;Park, Nam-Jun;Yu, Young-Hyo;Park, Myung-Hwan
    • YAKHAK HOEJI
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    • v.41 no.5
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    • pp.615-621
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    • 1997
  • Dehydropeptidase-I (DHP-I) was solubilized from porcine kidney by treatment with n-butanol and partially purified 19.25 fold by $(NH_4)_2SO_4$ precipitation, DEAE-Sepharose CL-6B ion exchange chromatography and Sephacryl S-300 HR chromatography with an overall yield of 19.16. DHP-I showed its optimal activity at pH 7.5 and 25$^{\circ}C$. Its activity was stable under neutral and alkaline conditions, but was disappeared under acidic condition. And DHP-I was heat-labile and its activity remained at 45$^{\circ}C$ for 3hrs. The enzyme was not inhibited by dicationic ions, while its activity was increased by $Co^{2+}$(1mM) and $Zn^{2+}$ (0.1mM). The enzyme was inhibited by EDTA and N-ethylmaleimide. The relative molecular mass of DHP-I was estimated to be approximately 100kDa by gel filtration chromatography. The $K_m$ value of DHP-I for glycyldehydrophenylalanine (GDHP) was 1.98mM. DWP20418 [(1R, 5S, 6S)-6-[1-(R)-Hydroxyethyl]-1-methyl-2-[(2S, 4S)-2-(piperazinylcarbonyl)-1-(R)-hydroxyethyl)pyrrolidine-4-thio]carbapen-2-em-3-carboxylic acid], compared with meropenem (MEPM), was rather easily hydrolized by DHP-I, while it was four times more resistant than imipenem (IPM) to DHP-I.

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