• Title/Summary/Keyword: R-groups of type-5/2 and (5/2)(0)

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A KUROSH-AMITSUR LEFT JACOBSON RADICAL FOR RIGHT NEAR-RINGS

  • Rao, Ravi Srinivasa;Prasad, K.Siva
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.457-466
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    • 2008
  • Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it $J_{5/2}$, the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that $J_2(R){\subseteq}J_{5/2}(R){\subseteq}J_3(R)$. It is shown that $J_{5/2}$ is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But $J_{5/2}$ is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that $J_{(5/2)(0)}$, the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical $J_{5/2}$ of zero-symmetric near-rings to the class of all near-rings.

UNIMODULAR GROUPS OF TYPE ℝ3 ⋊ ℝ

  • Lee, Jong-Bum;Lee, Kyung-Bai;Shin, Joon-Kook;Yi, Seung-Hun
    • Journal of the Korean Mathematical Society
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    • v.44 no.5
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    • pp.1121-1137
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    • 2007
  • There are 7 types of 4-dimensional solvable Lie groups of the form ${\mathbb{R}^3}\;{\times}_{\varphi}\;{\mathbb{R}}$ which are unimodular and of type (R). They will have left. invariant Riemannian metrics with maximal symmetries. Among them, three nilpotent groups $({\mathbb{R}^4},\;Nil^3\;{\times}\;{\mathbb{R}\;and\;Nil^4)$ are well known to have lattices. All the compact forms modeled on the remaining four solvable groups $Sol^3\;{\times}\;{\mathbb{R}},\;Sol_0^4,\;Sol_0^'4\;and\;Sol_{\lambda}^4$ are characterized: (1) $Sol^3\;{\times}\;{\mathbb{R}}$ has lattices. For each lattice, there are infra-solvmanifolds with holonomy groups 1, ${\mathbb{Z}}_2\;or\;{\mathbb{Z}}_4$. (2) Only some of $Sol_{\lambda}^4$, called $Sol_{m,n}^4$, have lattices with no non-trivial infra-solvmanifolds. (3) $Sol_0^{'4}$ does not have a lattice nor a compact form. (4) $Sol_0^4$ does not have a lattice, but has infinitely many compact forms. Thus the first Bieberbach theorem fails on $Sol_0^4$. This is the lowest dimensional such example. None of these compact forms has non-trivial infra-solvmanifolds.

Ratio of fat to energy intake independently associated with the duration of diabetes and total cholesterol levels in type 2 diabetes

  • Yim, Jung-Eun;Kim, Young-Seol;Cho, Mi-Ran;Choue, Ryo-Won
    • Nutrition Research and Practice
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    • v.5 no.2
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    • pp.157-162
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    • 2011
  • The importance of dietary intake in the treatment of type 2 diabetes was emphasized. This study was performed to investigate the dietary intakes of Korean type 2 diabetes patients according to the treatment and duration of diabetes and to examine the relationships between their diet and serum lipid profiles. The subjects were 111 type 2 diabetic patients who were treated by medical nutrition therapy only, oral hypoglycemic agents (OHA), or insulin with medical nutrition therapy. Dietary intake was assessed by a registered dietitian using semi-quantitative food frequency questionnaires Comparisons according to treatment type were made using covariance analyses. General linear models identified the independent effects of the different treatments after covarying for age, duration of diabetes, and 2-way interactions. There were no significant differences in age and BMI but was in duration of diabetes according to treatment type in these subjects. Carbohydrate to energy ratio was higher in the OHA group (P < 0.05), whereas the fat to energy ratio was higher in the insulin group for males (P < 0.05). Carbohydrate ($R^2$ = 0.24, P = 0.005) and fat ($R^2$ = 0.26, P = 0.02) to energy ratios were independently associated with the duration of diabetes after covarying for age, sex, treatment, and 2-way interactions. The levels of triglyceride (TG; $R^2$ = 0.32, P = 0.02) and total cholesterol (TC) were associated independently with energy intake and the carbohydrate ($R^2$ = 0.15, P = 0.02) and fat ($R^2$ = 0.15, P = 0.01) to energy ratios, respectively. The concern that the independent association of dietary intake with either duration of diabetes or dietary factors affects blood lipid levels could suggest that specific dietary recommendations may work better for identifiable groups of diabetes patients.

Marked Difference in Solvation Effects and Mechanism between Solvolyses of Substituted Acetylchloride with Alkyl Groups and with Aromatic Rigns in Aqueous Fluorinated Alcohol and in 2,2,2-Trifluoroethanol-Ethanol Solvent Systems

  • Oh, Yung-Hee;Jang, Gyeong-Gu;Lim, Gyi-Taek;Ryu, Zoon-Ha
    • Bulletin of the Korean Chemical Society
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    • v.23 no.8
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    • pp.1089-1096
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    • 2002
  • Solvolyses rate constants of trimethylacetyl chloride (2), isobutyryl chloride (3), diphenylacetyl chloride (4) and p-methoxyphenylacetyl chloride (5) in 2,2,2-trifluoroethanol (TFE)-water, 1,1,1,3,3,3-hexafluoro-2-propanol (HFIP)-water and TFE-et hanol solvent systems at $10^{\circ}C$ are determined by a conductimetric method. Kinetic solvent isotope effects (KSIE) are reported from additional kinetic data for methanolyses of various substituted acetylchlorides in methanol According to the results of those reactions analyzed in terms of rate-rate profiles,extended Grunwald-Winstein type correlations, application of a third order reaction model based a general base catalyzed (GBC) and KSIE values. Regardless of the kind of neighboring groups (CH3- or Ph-groups) of reaction center, for aqueous fluorinated alcohol systems, solvolyses of 2, 3, 4, and 5 were exposed to the reaction with the same mechanism (a loose SN2 type mechanism by electrophilic solvation) controlled by a similarity of solvation of the transition sate (TS). Whereas, for TFE-ethanol solvent systems, the reactivity depended on whether substituted acetyl chloride have aromatic rings (Ph-) or alkyl groups (CH3-); the solvations by the predominant stoichiometric effect (third order reaction mechanism by GBC and/or by push-pull type) for Ph- groups (4 and 5) and the same solvation effects as those shown in TFE-water solvent systems for CH3- groups (2 and 3) were exhibited Such phenomena can be interpreted as having relevance to the inductive effect ( $\sigmaI)$ of substituted groups; the plot of log (KSIE) vs. ${\sigma}I$ parameter give an acceptable the linear correlation with r = 0.970 (slope = 0.44 $\pm$ 0.06, n = 5).

Plasma LDL Particle Sizes Affect the Blood Lipid Profile and Dietary Intakes among Korean Adults (한국 성인에서 혈중 LDL 입자의 크기에 영향을 미치는 관련 인자 연구)

  • 서연경;김형숙;김정숙;김철호;최혜미
    • Korean Journal of Community Nutrition
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    • v.9 no.1
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    • pp.58-65
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    • 2004
  • The purpose of this research was to examine the relationship between the plasma LDL particle size and blood lipid profile, dietary factors and anthropometric values (body mass index, waist circumference and waist/hip ratio). The subjects were 173 adults aged 23 to 81 years, selected from the Outpatient Clinic and Cardiovascular Department of the Seoul Municipal Hospital. Dietary data were obtained using a 3-day food record and analyzed using Korean and US nutrient databases. The subjects were divided into three groups by LDL particle size : type A (large buoyant LDL, > 25.5 nm, n=96), type I (Intermediate LDL,$25.2\leq-\leq25.5$ nm, n=18), and type B (small dense LDL, < 25.2 nm, n=59) groups. The type B group had higher age, waist circumference, and waist/hip ratio (WHR) than the type A and type I groups. Serum concentration of triglyceride, Apo B, LDL/HDL cholesterol ratio and atherogenic index were significantly higher in the type B group as compared to those in the other two groups. HDL cholesterol level and Apo A-I/Apo B ratio were significantly lower in the type B group than the other two groups. The plasma LDL particle size was highly correlated with triglyceride (r= -0.450), Apo B (r= -0.402) and HDL cholesterol (r= 0.418). However, there was no correlation between plasma LDL particle size and dietary intakes. This study showed that small dense LDL was an important biochemical risk factor that was associated with other risk factors.

Classifications of Skin Colors on Korean Elderly Women and their Preference Colors (한국노인 여성의 피부색 분류와 선호색에 관한 연구)

  • 김구자;정혜원
    • Journal of the Korean Society of Clothing and Textiles
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    • v.26 no.2
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    • pp.303-314
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    • 2002
  • The colors of apparel have become an important element to be used strategically in order to give differentiated character at the level of fiber and fabric production. The colors of apparel have a close relationship with the skin colors of consumers and their preference colors. This study was carried out to classify the skin colors of Korean elderly women into several similar skin colors and to analyse their preference colors. Sample size was 471 Korean elderly women. With color spectrometer, JX-777, we measured 4 points of the body; cheek with removing cosmetics off, forehead, rear neck and arm on the interior part near elbow. All subjects had been shown with 40 color chips and answered the preference colors of apparel and the preference colors. Data weirs analysed to classify skin colors using K-means Cluster Analysis and Duncan test. Independent variables for Cluster Analysis were 12 variables out of L value, a value and b value of 4 points. In doing so, we used SPSS WIN 10 statistical package. Findings were as follows: 1) The skin colors of the Korean elderly women were composed of skin colors of YR, R, and Y. 2) 355 subjects were classified into 4 kinds of skin color groups. 3) The average face color of type 1 was 6.7YR 5.1/4.3 and 56 observations out of 355 subjects were composed of Type 1 and of Type 2 was 6.1YR 6.1/4.5 and 166 observations out of 355 and of 3 Type 6. YR 4.8/4.2 and 75 observations out of 355 and of Type was 6.17 YR 5.7/4.7 and 58 observations out of 355. 4) The average skin color of Type 1 was 7.0YR 5.9/4.4 and of Type 2 was 7.2YR 6.3/4.2 and of Type 3 was 7.0YR 6.2/4.2 and of Type 4 was 7.6YR 5.4/4.2 respectively. 5) The mean values of 12 variables between the 4 classified face color and skin color groups showed significantly different except H value of skin color. 6) All 4 groups showed that the most preference color of apparel and the most preference color were 2.5R 5/14 respectively.

Genetic Differentiation among the Mitochondrial ND2 Gene and $tRNA^{Trp}$ Gene Sequences of Genus Rana (Anura) in Korea

  • Lee, Hyuk;Yang, Suh-Yung;Lee, Hei-Yung
    • Animal cells and systems
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    • v.4 no.1
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    • pp.31-37
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    • 2000
  • The genetic variations among six species of Rana from Korea (R. nigro-maculata, R. piancyi, R. dybowskii, R. sp, R. rugosa type A, B and R. amurensis) were investigated using 499 bases of mitochondrial DNA sequences for ND2 (NADH dehydrogenase subunit 2) gene and $tRNA^{Trp}$ gene. Partial sequences of ND2 gene (427 bp) and full sequences of $tRNA^{Trp}$ gene (73 bp) were identified. The level of sequence divergences ranged from 0.2 to 5.2% within species and 4.9-28.0% among 6 species of the genus Rana. The $tRNA^{Trp}$ gene of the genus Rana was composed of 77 nucleotides which showed a two dimensional "cloverleaf" structure. The secondary structure of $tRNA^{Trp}$ was not found compensatory changes which could potentially confound phylogenetic inference. In the neighborjoining tree, brown frogs were clustered first with the level of sequence divergence of 13.20% between R. amurensis and R. dybowskii, and 9% between R. dybowskii and R. sp. supported by 99% bootstrap iterations, respectively. R. nigromaculata and R. plancyi were clustered into another group with 5.1% divergence supported by 100% bootstrap iteration. R. rugosa A 8nd B types were grouped by 4.9% divergence and clustered into the last group with other two groups with 100% bootstrap iterations.

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Three-Dimensional Metal Complex Host with Alternating Arrangement of the Occupied and Vacant Channels. The Crystal Structure of Cd(NH₂CH(CH₃)CH₂NH₂)Ni(CN)₄· 0.25G (G=$CH_3C_6H_5, p-(CH_3)_2C_6H_4$)

  • 박기민;이욱;Toschitake Iwamoto
    • Bulletin of the Korean Chemical Society
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    • v.17 no.10
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    • pp.919-924
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    • 1996
  • Crystal structure of two inclusion compounds Cd(pn)Ni(CN)4·0.25G (G=toluene and p-xylene, pn=1,2-diaminopropane) have been determined from single-crystal X-ray diffraction data; toluene clathrate: monoclinic P21/n, a=13.838(6), b=26.893(5), c= 7.543(5) Å, γ=90.92(3)°, Z=4, R=0.0616; p-xylene clathrate: monoclinic P21/n, a=13.895(2), b=26.900(3), c=7.613(1) Å, γ=91.06(1)°, Z=4, R=0.0486. The host structures determined for toluene- and pxylene-guest clathrates are substantially identical to the U-type structures observed for the straight chain aliphatic-guest clathrates. However, the alternating arrangement of occupied channels with the guest molecules and vacant channels appears in the host structure. The non-centrosymmetric toluene molecules are distributed about the inversion center to give an image like p-xylene molecule. The guests, toluene and p-xylene, prefer the U-type channel, favoring the interaction between the π-electrons of the aromatic ring and the pn-amino groups to hold the aromatic ring vertical to the cyanometallate meshes.

Composition of Food Groups Appropriate for Evaluation of Diet Quality of Korean Adolescents -Based on Kant's Minimum Amount- (한국 청소년의 식사의 질 평가에 적절한 식품군의 조성 -Kant의 최소량에 기초하여-)

  • Um, Ji-Sook;Park, Min-Young;Chung, Young-Jin
    • Journal of Nutrition and Health
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    • v.39 no.6
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    • pp.560-571
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    • 2006
  • The purpose of this study was to determine composition of food groups appropriate for the evaluation of the quality of total diet or food guide, using the data from the 1998 National Health and Nutrition Survey. Twenty-four-hour-dietary recalls of total 1,110 Korean adolescents aged 13 - 19 years (male 543, female 567) were analyzed for food group consumed (Dietary Diversity Score, DDS), intake patterns of food group, mean index of nutritional quality (mINQ) and nutrient adequacy ratio (NAR). Considering Korean food pattern different from the Americans, this study is to check if Korean 5 food groups with both of oil & sugar group and vegetable & fruit group, and a minimum amount of 30 g in grain group and 15 g in meat group modified from Kant's minimum amount, 15 g in grain and 30 g in meat, could also be appropriate for the diet evaluation of Korean adolescents. Combination of food group and minimum food intake per each food group used in the first trial were categorized into 6 kinds of types: 1) American 5 food groups with Kant's minimum amount as control or 2) American 5 food groups with modified Kant's minimum amount 3) Korean 5 food groups excluded by sugar with the modified amount 4) Korean 5 food groups with modified amount 5) American food groups added oil group with the modified amount 6) American food groups added oil & sugar group with the modified amount. In case of oil group or oil and sugar group, 5 g was quoted for the minimum amount. Correlation between DDS and indices of other diet quality in each type of food group composition were analyzed and the best food group composition was traced by comparing the correlation coefficients of DDS and mINQ or MARs at ${\alpha}\;<\;0.01$. There was no meaningful difference in weight length index of the subjects of eating or not-eating oil or oil & sugar, while the values of mINQ showed higher in the subjects eating oil but no difference in the subjects eating oil & sugar, compared to the group not-eating, respectively. In comparison of type 1 and type 2, correlation between DDS and indices of other diet quality showed higher in type 1 using Kant's amount. And comparing the type of a combined group of fruit & vegetable (type 3 and 4) and the type of separated group of fruit and vegetable (type 5 and 6). six groups of separated vegetable and fruit showed the higher correlation of DDSs and indices of diet quality. In case of being classified into six groups with oil, DDS showed correlation of r = 0.293 with INQ. While, being classified into six groups with oil & sugar instead of oil only, DDS showed correlation of r = 0.249 with INQ. Accordingly the type 5 with oil is regarded as the better food group type than the type 6 with oil & sugar. Since better result was shown in the composition of six groups with Kant's minimum amount, the comparative analysis on both of type1 with oil and oil & sugar was finally performed. Then oil added type 1 showed higher correlation of DDS and indices of diet quality. These result indicated that it would be more appropriate to use six food groups with separate vegetable and fruit including oil group (oil-added type 1) rather than oil & sugar group for evaluation of dietary quality of Korean adolescents using DDS.

Classifications of the Skin Colors on Korean women and their Preference Colors of Apparel (한국 여성의 피부색 분류와 의상선호색에 관한 연구)

  • 이민아;김구자
    • Journal of the Korean Society of Clothing and Textiles
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    • v.26 no.1
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    • pp.133-143
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    • 2002
  • The textile industry is petting increased effort to manufacture the value-added products that gives the differentiated characters at every level of fiber and fabric production. The color is an important element to be used strategically in order to push up the value-added design. The colors of apparel products have a close relationship with the skin colors of consumers and their preference colors. This study was carried out to cluster the skin colors of the Korean women into several similar skin colors and to analyze their preference colors by the classified groups. We measured the skin colors of 354 Korean women. With color spectrometer, JX-777, we measured 4 points of the body; cheek with removing cosmetics off, forehead, rear neck and arm on the interior part near elbow. All subjects had been shown with 40 color chips and answered the preference colors and preference colors of apparel. Data were analysed to classify skin colors using K-means Cluster Analysis and Duncan test, Frequency and Chi square test on the preference colors about the clustered 3 groups. In doing so, we used in SPSS Win 10 statistical package. Findings were as fellows: 1) The skin colors of the Korean women were clustered into YR, R, and Y skin colors. The majority of the subjects, 324 observations had YR skin colors and the subjects were classified into 3 kinds of skin color groups who had YR skin colors. 2) The average skin colors of total 324 subjects was 5.23YR 6.49/4.09 in Munsell Color System(MCS), 66.56 in L value, 10.53 in a value, and 20.67 in b value. 3) The average skin color of Type 1 was 7.98YR 6.24/4.14 in MCS, 64.10 in L value, 15.05 in a value, and 24.0 in b value. For Type 2 was 7.30 YR 6.56/3.28 in MCS, 67.24 in L value, 6.89 in a value, and 18.4 in b value, and Type 3 was 7.01 YR 7.20/4.38 in MCS, 73.53 in L value, L 16.04 in a value, and 24.87 in b value. 4) The average face color of total 324 subjects was 7.31YR 6.65/3.56 in MCS, 68.13 in L value, 9.53 in a value, and 20.18 in b value. 5) The average face color of Type 1 was 4.19 YR 6.92/5.05 in MCS, 70.78 in L value, 13.2 in a value, and 25.32 in b value. For Type 2 was 5.24YR 6.33/3.79 in MCS, 64.94 in L value, 9.84 in a value, and 19.08 in b value. Type 3 was 5.4YR 6.85/4.68 in MCS, 70.1 in L value, 11.73 in a value, and 23.92 in b value. 6) The difference of mean values between the clustered 3 skin color groups showed significantly different except the a value of neck and H value of cheeks and H value of foreheads. 7) All 3 groups showed that the most preference colors and the most preference colors of apparel was 5R 4/14. and their preference colors were much more than the preference colors of apparel.