• Title/Summary/Keyword: M - N-groups

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ON THE IDEAL CLASS GROUPS OF REAL ABELIAN FIELDS

  • Kim, Jae Moon
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.45-49
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    • 1996
  • Let $F_0$ be the maximal real subfield of $\mathbb{Q}({\zeta}_q+{\zeta}_q^{-1})$ and $F_{\infty}={\cup}_{n{\geq}0}F_n$ be its basic $\mathbb{Z}_p$-extension. Let $A_n$ be the Sylow $p$-subgroup of the ideal class group of $F_n$. The aim of this paper is to examine the injectivity of the natural $mapA_n{\rightarrow}A_m$ induced by the inclusion $F_n{\rightarrow}F_m$ when $m>n{\geq}0$. By using cyclotomic units of $F_n$ and by applying cohomology theory, one gets the following result: If $p$ does not divide the order of $A_1$, then $A_n{\rightarrow}A_m$ is injective for all $m>n{\geq}0$.

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Anti-diabetic effect of the mixture of mulberry leaf and green tea powder in rats with streptozotocin-induced diabetes (뽕잎과 녹차혼합분말의 급여가 streptozotocin 유발 당뇨쥐의 항당뇨효과)

  • Son, Hee-Kyoung;Han, Ju-Hee;Lee, Jae-Joon
    • Food Science and Preservation
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    • v.21 no.4
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    • pp.549-559
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    • 2014
  • This study investigated the hypoglycemic effects of mulberry leaf (M), green tea (G), and a mixture of mulberry leaf and green tea (MG) in rats with streptozotocin-induced diabetes. Male Sprague-Dawley rats were divided into the non-diabetic (N) and diabetic groups. The experimental animals were divided into four groups and fed the following for four weeks: a normal diet (N), the STZ+normal diet (STZ), the STZ+5% mulberry leaf (STZ-M), STZ+5% green tea (STZ-G), and the STZ+5% mixture of mulberry leaf and green tea (STZ-MG). The whole blood glucose level of the STZ-M, STZ-G and STZ-MG groups significantly decreased compared to the STZ group two weeks later. The serum glucose and fructosamine, and urine glucose levels in the STZ-M, STZ-G and STZ-MG groups were lower than in the STZ group. The levels of serum insulin were higher in the STZ-M, STZ-G and STZ-MG groups than in the STZ group. However, serum glucose, fructosamine and insulin levels, and urine glucose levels were not significantly different among the STZ-M, STZ-G and STZ-MG groups. These results indicate that mulberry leaf, green tea, and their mixture help prevent or attenuate the progression of diabetes in rats with STZ-induced diabetes.

Synthesis and Characterization of New Polyaza Macrocyclic Nickel(Ⅱ) and Copper(Ⅱ) Complexes Two Nitrile or Imidate Ester Pendant Arms: Metal-Mediated Hydrolysis and Alcoholysis of the Nitrile Groups

  • Kang, Shin-Geol;Song, Jeong-Hoon;Jeong, Jong-Hwa
    • Bulletin of the Korean Chemical Society
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    • v.23 no.6
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    • pp.824-829
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    • 2002
  • New di-N-cyanomethylated tetraaza macrocycle 2.13-bis(cyanomethyl)-5.16-dimethyl-2,6,13,17-tetraazatricyclo[$16.4.0.0^7.12$]docosane $(L^2)$ has been prepared by the reaction of 3, 14-dimethyl-2,6,13,17-tetraazatricyclo $(L^1)$ with bromoacetonitrile. The square-planar complexes $[ML^2](ClO_4)_2(M=Ni(II)$ or Cu(II) can be prepared by the reaction of $L^2$ with the corresponding metal ion in acetonitrile. The cyanomethyl groups of $[ML^2](ClO_4)_2readily$ react with water to $yield[ML^3](ClO_4)_2$ containing pendant amide groups. The trans-octahedral complexes $[ML^4](ClO_4)_2$, in which two imidate ester groups are coordinated to the metal ion, can be also prepared by the reaction of $[ML^2](ClO_4)_2with$ methanol under mild conditions. The hydrolysis and alcoholysis reactions of $[ML^2](ClO_4)_2are$ promoted by the central metal ion, in spite of the fact that the cyanomethyl group is not involved in intramolecular coordination. The reactions are also promoted by a base such as triethylamine but are retarded by an $acid(HClO_4).Interestingly$, the imidate ester groups of $[ML^4]^2$ are unusually resistant to hydrolysis even in 0.1 M $HCIO_4$ or 0.1 M NaOH aqueous solution. Crystal structure of $[NiL^4](ClO_4)_2shows$ that the Ni-N (pendant imidate ester group) bond is rlatively strong; the Ni-N bond distance is shorter then the Ni-N(tertiary) distance and is similar to the Ni-N (secondary) distance.

A Comparison of the Epidural Nalbuphine to Epidural Morphine in Post-Cesarean Section Patients (제왕절개술후 통증치료를 위해 경막외강에 투입된 Morphine과 Nalbuphine의 비교 연구)

  • Moon, Bong-Kee;Lee, Youn-Woo;Lee, Ja-Won;Yoon, Duck-Mi;Oh, Hung-Kun
    • The Korean Journal of Pain
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    • v.6 no.1
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    • pp.60-66
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    • 1993
  • The clinical effects of epidural nalbuphine were compared to those of epidural morphine in sixty Cesarean delivery. They were physical status 1 or 2 by ASA classification and randomly divided into three groups. They were administered nalbuphine 5 mg(Group N5), nalbuphine 10 mg(Group N10) or morphine 3 mg(Group M3) through an indwelling epidural catheter at the time of peritoneal closure. During the first postoperative 24 hours, their analgesic effects were evaluated by visual analogue scale(0-10), respiration rates and Trieger dot test. The severity of side effects(0-2) was also evaluated. The results were as follows ; 1) The number of patients who needed additional epidural analgesics was least in group M3 (p<0.05). There was no significant difference between group N5 and group N10. 2) The duration between the first and second epidural administration was ; 19.2 hours in group M3, 8.6 hours in group N10 and 5.4 hours in group N5. There was a significant difference each group (p<0.05). 3) From the fourth post operative hour, both groups receiving nalbuphine showed a higher VAS score compared to group M3(p<0.05). 4) The incidence of pruritus, nausea, vomiting and voiding difficulty were more severe in group M3 compared with the other groups. However the severity did not increase with increasing nalbuphine dosage. 5) There were no patients showing objective sedation or low respiration rate(10 times/minute). We concluded that epidural administration of nalbuphine 5 mg or 10 mg is one way of post operative pain control. Its side effects were less than epidural morphine, but it is a less convenient in the method of analgesia.

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GROUP-FREENESS AND CERTAIN AMALGAMATED FREENESS

  • Cho, Il-Woo
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.597-609
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    • 2008
  • In this paper, we will consider certain amalgamated free product structure in crossed product algebras. Let M be a von Neumann algebra acting on a Hilbert space Hand G, a group and let ${\alpha}$ : G${\rightarrow}$ AutM be an action of G on M, where AutM is the group of all automorphisms on M. Then the crossed product $\mathbb{M}=M{\times}{\alpha}$ G of M and G with respect to ${\alpha}$ is a von Neumann algebra acting on $H{\bigotimes}{\iota}^2(G)$, generated by M and $(u_g)_g{\in}G$, where $u_g$ is the unitary representation of g on ${\iota}^2(G)$. We show that $M{\times}{\alpha}(G_1\;*\;G_2)=(M\;{\times}{\alpha}\;G_1)\;*_M\;(M\;{\times}{\alpha}\;G_2)$. We compute moments and cumulants of operators in $\mathbb{M}$. By doing that, we can verify that there is a close relation between Group Freeness and Amalgamated Freeness under the crossed product. As an application, we can show that if $F_N$ is the free group with N-generators, then the crossed product algebra $L_M(F_n){\equiv}M\;{\times}{\alpha}\;F_n$ satisfies that $$L_M(F_n)=L_M(F_{{\kappa}1})\;*_M\;L_M(F_{{\kappa}2})$$, whenerver $n={\kappa}_1+{\kappa}_2\;for\;n,\;{\kappa}_1,\;{\kappa}_2{\in}\mathbb{N}$.

Effects of Trichostatin A on In Vitro Development of Porcine Parthenogenetic and Nuclear Transfer Embryos

  • Diao, Yun-Fei;Kenji, Naruse;Han, Rong-Xun;Lin, Tao;Oqani, Reza-K.;Kang, Jung-Won;Jin, Dong-Il
    • Reproductive and Developmental Biology
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    • v.37 no.2
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    • pp.57-64
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    • 2013
  • Developmental potential of cloned embryos is related closely to epigenetic modification of somatic cell genome. The present study was to investigate the effects of applying histone deacetylation inhibitor, trichostatin A (TSA) to activated porcine embryos on subsequent development of porcine parthenogenetic and nuclear transfer embryos. Electrically activated oocytes were treated with 5 nM TSA for different exposure times (0, 1, 2 and 4 hr) and then the activated embryos were cultured for 7 days. The reconstructed embryos were treated with different concentrations of 0, 5, 10 and 25 nM TSA for 1 hr. Also 5 nM TSA was tested with different exposure times of 0, 0.5, 1, 2 and 4 hr. And fetal fibroblast cells were treated with 50 nM TSA for 1, 2 or 4 hr and with 5 nM TSA for 1 hr. Cumulus-free oocytes were enucleated and reconstructed by TSA-treated donor cells and electrically fused and cultured for 6 days. In parthenogenetic activation experiments, 5 nM TSA treatment for 1 hr significantly improved the percentage of blastocyst developmental rates than the other groups. Total cell number of blastocysts in 1 hr group was significantly higher than other groups or control. Similarly, blastocyst developmental rates of porcine NT embryos following 5 nM TSA treatment for 1 hr were highest. And the reconstructed embryos from donor cells treated by 50 nM TSA for 1 hr improved the percentage of blastocyst developmental rates than the control group. In conclusion, TSA treatment could improve the subsequent blastocyst development of porcine parthenogenetic and nuclear transfer embryos.

Accessing the Clustering of TNM Stages on Survival Analysis of Lung Cancer Patient (폐암환자 생존분석에 대한 TNM 병기 군집분석 평가)

  • Choi, Chulwoong;Kim, Kyungbaek
    • Smart Media Journal
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    • v.9 no.4
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    • pp.126-133
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    • 2020
  • The treatment policy and prognosis are determined based on the final stage of lung cancer patients. The final stage of lung cancer patients is determined based on the T, N, and M stage classification table provided by the American Cancer Society (AJCC). However, the final stage of AJCC has limitations in its use for various fields such as patient treatment, prognosis and survival days prediction. In this paper, clustering algorithm which is one of non-supervised learning algorithms was assessed in order to check whether using only T, N, M stages with a data science method is effective for classifying the group of patients in the aspect of survival days. The final stage groups and T, N, M stage clustering groups of lung cancer patients were compared by using the cox proportional hazard model. It is confirmed that the accuracy of prediction of survival days with only T, N, M stages becomes higher than the accuracy with the final stages of patients. Especially, the accuracy of prediction of survival days with clustering of T, N, M stages improves when more or less clusters are analyzed than the seven clusters which is same to the number of final stage of AJCC.

Production and development of porcine tetraploid parthenogenetic embryos

  • Lin, Tao;Lee, Jae Eun;Shin, Hyeon Yeong;Lee, Joo Bin;Kim, So Yeon;Jin, Dong Il
    • Journal of Animal Science and Technology
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    • v.61 no.4
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    • pp.225-233
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    • 2019
  • The aim of this study was to produce porcine tetraploid (4N) parthenogenetic embryos using various methods and evaluate their developmental potential. In method 1 (M1), porcine 4N parthenogenetic embryos were obtained by inhibiting extrusion of both first (PB1) and second (PB2) polar bodies; in methods 2 (M2) and 3 (M3), 4N parthenogenetic embryos were obtained by electrofusion of 2-cell stage diploid parthenogenetic embryos derived from inhibition of PB2 or PB1 extrusion, respectively. We found no differences in the rates of cleavage or blastocyst formation or the proportion of 4N embryos among M1, M2, and M3 groups. The different methods also did not influence apoptosis rates (number of TUNEL-positive cells/number of total cells) or expression levels of apoptosis-related BAX and BCL2L1 genes. However, total cell and EdU (5-ethynyl-2'-deoxyuridine)-positive cell numbers in 4N parthenogenetic blastocysts derived from M1 were higher (p < 0.05) than those for M2 and M3 groups. Our results suggest that, although porcine 4N parthenogenetic embryos could be produced by a variety of methods, inhibition of PB1 and PB2 extrusion (M1) is superior to electrofusion of 2-cell stage diploid parthenogenetic embryos derived from inhibition of PB2 (M2) or PB1 (M3) extrusion.

ON DUDEK'S PROBLEMS ON THE SKEW OPERATION IN POLYADIC GROUPS

  • Sokhatsky, Fedir M.
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.63-71
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    • 2003
  • In his invited lecture presented during the First Conference of the Mathematical Society of the Republic of Moldova($Chi\c{s}in\v{a}u$, August 2001) W. A. Dudek posed several open problems on the role and properties of the skew element in the theory of n-ary groups. In this note we give the partial solutions of some of these problems.

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SOME EXAMPLES OF RELATIONS BETWEEN NON-STABLE INTEGRAL COHOMOLOGY OPERATIONS

  • Percy, Andrew
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.275-286
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    • 2010
  • The algebraic structure of the natural integral cohomology operations is explored by means of examples. We decompose the generators of the groups $H^m(\mathbb{Z},\;n)$ with $2\;{\leq}\;n\;{\leq}\;7$ and $2\;{\leq}\;m\;{\leq}\;13$ into the operations of cup products, cross-cap products and compositions. Examination of these decompositions and comparison with other possible generators demonstrates the existence of relations between integral operations that have withheld formulation. The calculated groups and generators are collected in a table for practical reference.