• Journal of the Korean Mathematical Society
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• v.41 no.3
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• pp.479-487
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• 2004

Let G be a finite group and N be a normal subgroup of G. We denote by ncc(N) the number of conjugacy classes of N in G and N is called n-decomposable, if ncc(N) = n. Set $K_{G}\;=\;\{ncc(N)$\mid$N{\lhd}G\}$. Let X be a non-empty subset of positive integers. A group G is called X-decomposable, if KG = X. In this paper we characterise the {1, 3, 4}-decomposable finite non-perfect groups. We prove that such a group is isomorphic to Small Group (36, 9), the $9^{th}$ group of order 36 in the small group library of GAP, a metabelian group of order $2^n{2{\frac{n-1}{2}}\;-\;1)$, in which n is odd positive integer and $2{\frac{n-1}{2}}\;-\;1$ is a Mersenne prime or a metabelian group of order $2^n(2{\frac{n}{3}}\;-\;1)$, where 3$\mid$n and $2\frac{n}{3}\;-\;1$ is a Mersenne prime. Moreover, we calculate the set $K_{G}$, for some finite group G.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.17 no.11
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• pp.708-715
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• 2016

This study examined the effects of an extract of Dendropanax morbifera on blood pressure, Angiotensin II, Angiotensin Converting Enzyme, Aldosterone, and lipid levels of spontaneously hypertensive rats. The groups were as follows: Control group, Hypertension control group, Water extract treated group, Ethanol extract treated group, n- hexane fraction treated group, Ethyl acetate fraction treated group, n- butanol fraction treated group, and Water fraction treated group. The blood pressure, and Angiotensin II, and Angiotensin Converting Enzyme, and Aldosterone levels were lower in the Ethyl acetate fraction treated group than in the hypertension control group. The change in blood pressure was lower in the Water extract treated group, Ethyl acetate fraction treated group, Ethanol extract treated group, n- hexane fraction treated group, and n- butanol fraction treated group than the hypertension control group. The concentration of Angiotensin II was lower in the Ethyl acetate fraction treated group, Ethanol extract treated group, n- hexane fraction treated group, and n- butanol fraction treated group than the hypertension control group(p<0.05). The level of Angiotensin Converting Enzyme was lower in the Ethyl acetate fraction treated group, Ethanol extract treated group, n- hexane fraction treated group, and n- butanol fraction treated group than the hypertension control group. The concentration of Aldosterone was lower in the Ethyl acetate fraction treated group, and n- butanol fraction treated group than the hypertension control group(p<0.05). In addition, the concentration lower in the Water extract treated group, Ethanol extract treated group, n- hexane fraction treated group than the hypertension control group. Overall, the effect of the Dendropanax morbifera extracts might be useful as anti-hypertensive, and functional food agents.

• Journal of the Korean Society of Food Science and Nutrition
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• v.24 no.1
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• pp.121-126
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• 1995

The purpose of this study was to investigate the effects of Natto supplementation on lipid metabolism in rats. Male rats were fed on casein(CON group), steamed soybean(SS group), conventional Natto(N-1 group), garlic(2%) added Natto(N-2 group), red pepper oleoresin(0.2%) added Natto(N-3 group) and galic(2%) and red pepper oleoresin(0.2%) added Natto(N-4 group) as a protein source for 4 weeks. Serum and liver cholesterol levels were significantly lower in the experimental groups than in the control group. Especially, dietary N-2, N-3 and N-4, compared with CON, reduced markedly the concentration of serum cholesterol. The concentration of serum HDL-cholesterol was higher markedly in the N-4 group than in the control group. The concentration of serum triglyceride was significantly lower in the N-1, N-2, N-3 and N-4 groups than in the control group. Garlic and red pepper added Natto fed groups(N-2, N-3, N-4) showed more excreion of fecal bile acid when compared with those values of casein fed group. The results indicate that spice added Natto supplementation may have more beneficial roles in lipid metabolism through reduced cholesterol levels and increased fecal bile acid excretion.

• Bulletin of the Korean Mathematical Society
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• v.51 no.4
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• pp.923-931
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• 2014

Let x be an element of a group G and be an automorphism of G. Then for a positive integer n, the autocommutator $[x,_n{\alpha}]$ is defined inductively by $[x,{\alpha}]=x^{-1}x^{\alpha}=x^{-1}{\alpha}(x)$ and $[x,_{n+1}{\alpha}]=[[x,_n{\alpha}],{\alpha}]$. We call the group G to be n-auto-Engel if $[x,_n{\alpha}]=[{\alpha},_nx]=1$ for all $x{\in}G$ and every ${\alpha}{\in}Aut(G)$, where $[{\alpha},x]=[x,{\alpha}]^{-1}$. Also, for any integer $n{\neq}0$, 1, a group G is called an n-auto-Bell group when $[x^n,{\alpha}]=[x,{\alpha}^n]$ for every $x{\in}G$ and each ${\alpha}{\in}Aut(G)$. In this paper, we investigate the properties of such groups and show that if G is an n-auto-Bell group, then the factor group $G/L_3(G)$ has finite exponent dividing 2n(n-1), where $L_3(G)$ is the third term of the upper autocentral series of G. Also, we give some examples and results about n-auto-Bell abelian groups.

• Journal of the Korean Applied Science and Technology
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• v.31 no.3
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• pp.509-516
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• 2014

This study was done to investigate the carbohydrate metabolism related enzyme activities and antioxidative effects of Nelumbo nucifera(N.N) Root in streptozotocin (STZ)-induced diabetic rats. The contents of serum glucose, triglyceride (TG) and Total cholesterol were significantly decreaed in N.n treated group compared to the those of STZ-control group. The activity of glucose-6-pase(G-6-Pase) was significantly decreased in N.N treated group. Also the activity of glucokinase(Gk) was significantly increaed in N.N treated group. The content of hepatic glycogen was significantly increaed in N.N treated group, in addition, content of malondialdehyde(MDA) was significanly decreased in N.N treated group. Also, content of glutathione(GSH) was significanly increased in N.N treated froup. whereas, activity of catalase(CAT) was significantly decreaed in N.N treated group compared to the those of STZ-control group. activity of glutathione peroxidase(GSH-Px) was inecreaed. In conclusion, these results indicated that ethanol extract of N.N would have carbohydrate metabolism antioxidative effects in STZ-induced diabetic rats.

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.75-96
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• 2006

Let m, n be positive integers. We denote by R(m,n) (respectively P(m,n)) the class of all groups G such that, for every n subsets $X_1,X_2\ldots,X_n$, of size m of G there exits a non-identity permutation $\sigma$ such that $X_1X_2{\cdots}X_n{\cap}X_{\sigma(1)}X_{/sigma(2)}{\cdots}X_{/sigma(n)}\neq\phi$ (respectively $X_1X_2{\cdots}X_n=X_{/sigma(1)}X_{\sigma(2)}{\cdots}X_{\sigma(n)}$). Let G be a non-abelian group. In this paper we prove that (i) $G{\in}P$(2,3) if and only if G isomorphic to $S_3$, where $S_n$ is the symmetric group on n letters. (ii) $G{\in}R$(2, 2) if and only if ${\mid}G{\mid}\geq8$. (iii) If G is finite, then $G{\in}R$(3, 2) if and only if ${\mid}G{\mid}\geq14$ or G is isomorphic to one of the following: SmallGroup(16, i), $i\in$ {3, 4, 6, 11, 12, 13}, SmallGroup(32, 49), SmallGroup(32, 50), where SmallGroup(m, n) is the nth group of order m in the GAP [13] library.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.641-644
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• 2005

Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L(${\alpha}^{{\frac{1}{n}}$) where ${\alpha}{\in}L{\ast}$. We show that if $N_{L/F}({\alpha})\;{\in}L^n{\cap}F$, and [N : L] = m, then $G(N/ F) {\simeq}D_m$ or generalized quaternion group whether $N_{L/F}({\alpha})\;{\in}\;F^n\;or\;{\notin}F^n$, respectively.

• Journal of Chest Surgery
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• v.27 no.9
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• pp.738-745
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• 1994

In order to evaluate the myocardial injury in cardiac valvular and coronary surgery, variables of creatine kinase[CK], myocardial band of CK[CK-MB], lactate dehydrogenase[LDH], aspartate aminotrasferase[AST] were measured in the preoperative[Preop], the operation day[POD0], and the first[POD1], third[POD3], fifth[POD5], seventh[POD7], ninth[POD9] day after operation in 29 patients. The subjects were divided into two groups according to the diseases: group V [valvular disease, n=16] and group C[coronary artery disease, n=13]. Each group was subdivided into two subgroups according to the duration of aortic crossclamping time[ACT]; group VI[ACT 120min, n=7] and group VII[ACT>120min, n=9]; group CI[ACT 120min, n=6] and group CII[ACT>120min, n=7]. The results were as followed 1. The values of CK between group V and group C had no significant difference. The values of CK in group CII were significantly greater than those in group CI and the values of CK in group VII were significantly greater than those in group VI. 2. Percentages of CK-MB between groups had no significant difference. 3. The serum levels of LDH in group V were significantly greater than those in group C. The serum levels of LDH in group VII were significantly greater than those in group VI. 4. The serum levels of AST in group VII were significantly greater than that in group VI. We were concluded that myocardial injury was more related with the duration of aortic cross clamping time rather than the type of diseases.

• Applied Biological Chemistry
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• v.36 no.5
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• pp.381-386
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• 1993

New twenty five Imazethapyr derivatives, [2-(4-isopropyl-4-methyl-5-oxo-2-imidazolin -2-yl)-3-(N-methyl-N-X(sub.)-phenylaminooxoacetyl)-5-methylpyridine] were synthesized. and The quantitative structure activity relationships (QSARs) between their post-emergence herbicidal activity$(pI_{50})$ values in vivo against Barnyard grass (Echinochloa crus-galli) and physicochemical parameters of substituents(X) of 3-(N-methyl-N-X(sub.)-phenylaminooxoacetyl) group have been studied. From the basis on the findings, in case of post-emergence, the activities were dependent on the steric constant$(E_s<0)$ and electron donating $(\sigma<0)$ effect by subsitituents(X) of 3-(N-methyl-N-X(sub.)phenylaminooxoacetyl) group. Therefore, The most effective compound,15 (4-t-butyl group) and 20 (3,5-dimethyl group) were examined in this study. And the conditions on the compounds predicted to show higher herbicidal activity were also discussed.

• Asian-Australasian Journal of Animal Sciences
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• v.5 no.1
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• pp.39-44
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• 1992

Twelve male crossbred calves of 18 months of age were divided into two groups of six each. Animals in both the groups were fed wheat straw ad lib. However, animals in group II had free access to urea molasses mineral block (UMMB) lick. Straw DM intake (kg/100 kg B. Wt. and $g/w^{0.75}\;kg$) was significantly (p < 0.01) higher in group II ($1.95{\pm}0.06$; $75.55{\pm}1.79$) as compared to group I ($1.27{\pm}0.08$; $48.77{\pm}2.43$). Straw DM digestibility coefficient was not significantly different in groups I and II. However, DOMI (kg/100 kg B. Wt.) was significantly (p < 0.01) higher in group II ($0.986{\pm}0.05$) as compared to group I ($0.615{\pm}0.03$). Digestibility coefficient of DM, OM and CP were significantly higher in group II as compared to group I. However, digestibility coefficients of EE, CF and NFE were non-significantly different between the two groups. Animals in group II exhibited significantly (p < 0.01) higher and positive N, Ca and P balances as compared to group I which exhibited negative balances. Total-N, ammonia-N and urea-N in the blood plasma of animals in group II were significantly (p < 0.01) higher as compared to group I.