• Journal of the Korean Mathematical Society
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• v.37 no.4
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• pp.521-530
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• 2000

We find the values of numerical invariants col(R) and row (R) for R=k[te, te+1, t(e-1)e-1] where k is a field and e$\geq$4. We also show that col(R) = crs (R) and row (R) = drs(R), but they are strictly less than the reduction number of R plus 1.

• Journal of Embryo Transfer
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• v.28 no.3
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• pp.215-222
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• 2013

Bovine coat color is decided by the melanocortin receptor 1 (MC1R) genotype mutation and melanogenesis. Specially, in the various cattle breeds, dominant black coat color is expressed by dominant genotype of $E^D$, red or brown is expressed in the frame shift mutation of recessive homozygous e by base pair deletion and wild type of $E^+$ is expressed in various coat colors. However, not very well known about the effected of MC1R genotype mutation on the coat color through family lines in KBC. Therefore, this study were to investigate effect of MC1R genotype mutation on the coat color, and to suggest mating breed system in accordance with of MC1R genotype for increased on brindle coat color appearance. Parents (sire 2 heads and dam 3 heads) and offspring (total : 54 heads) from crossbreeding in KBC family line with the MC1R genotype and phenotype records were selected as experimental animals. The relationship between melanocortin 1 receptor (MC1R) genotypes expression verified by PCR-RFLP, and brindle coat color appearance to the family line of the cross mating breed from MC1R genotype pattern was determined. As a result, 4MC1R genetic variations, $E^+/E^+$ (sire 1), $E^+/e$ (sire 2 and dam 3), $E^+/e$ with 4 bands of 174, 207 and 328 bp (dam 1) and $E^+/e$ with 3 bands of 174, 207, 328 and 535 bp (dam 2) from parents (sire and dam) of KBC. However, 3 genetic variations, e/e (24%), $E^+/E^+$ (22%) and $E^+/e$ (56%) were identified in offspring. Also, brindle coat color expressrated was the e/e with the 0%, $E^+/E^+$ with 67% and $E^+/e$ with 77% from MC1R genotype in offspring on the cross mating of KBC. Furthermore, when the sire had $E^+/e$ genotype and the dam had $E^+/E^+$ with the 3 bands or $E^+/e$ genotype, and both had whole body-brindle coat color, 62% of the offspring had whole body-brindle coat color. Therefore, the seresults, the mating system from MC1R genotype patterns of the sires ($E^+/e$) and dams ($E^+/E^+$ with the 3 bands or $E^+/e$) with brindle coat color may have the highest whole body-brindle coat color expression in their offspring.

• Korean Journal of Logic
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• v.6 no.1
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• pp.19-32
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• 2003

In this paper we investigate the relevance logic E-R of the Entailment E without the reductio (R), and its extensions Ee-R, Eec-R: Ee-R is the E-R with the expansion (e) and Eec-R the Ee-R with the chain (c). We give completeness for each E-R, Ee-R, and Eec-R by using Routley-Meyer semantics.

• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.693-699
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• 2010

In this paper we show that the flat property of a left R-module does not imply (carry over) to the corresponding inverse polynomial module. Then we define an induced inverse polynomial module as an R[x]-module, i.e., given an R-linear map f : M $\rightarrow$ N of left R-modules, we define $N+x^{-1}M[x^{-1}]$ as a left R[x]-module. Given an exact sequence of left R-modules $$0\;{\rightarrow}\;N\;{\rightarrow}\;E^0\;{\rightarrow}\;E^1\;{\rightarrow}\;0$$, where $E^0$, $E^1$ injective, we show $E^1\;+\;x^{-1}E^0[[x^{-1}]]$ is not an injective left R[x]-module, while $E^0[[x^{-1}]]$ is an injective left R[x]-module. Make a left R-module N as a left R[x]-module by xN = 0. We show inj $dim_R$ N = n implies inj $dim_{R[x]}$ N = n + 1 by using the induced inverse polynomial modules and their properties.

• Journal of Animal Science and Technology
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• v.53 no.2
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• pp.107-111
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• 2011

This study was undertaken to reveal the relationship between genetic variations and the basic coat color classification system in Jeju horses. Genetic variations of the melanocortinreceptor 1 (MC1R) and agouti signaling protein (ASIP) genes were investigated using pyrosequencing technique. A nucleotide substitution mutation for MC1R g.901C>T and an ASIP 11-bp deletion mutation were screened. Black horses had MC1R $E^+$/- ($E^+/E^+$ or $E^+/E^e$) and ASIP $A^a/A^a$ genotypes. In contrast, chestnut horse genotypes were MC1R $E^e/E^e$ and ASIP -/-. Thus, black and bay horses have at least one dominant MC1R allele, $E^+$, whereas chestnut horses have homozygous recessive alleles $E^e/E^e$. This suggests that the MC1R genotypes determine chestnut or black/bay coat color, regardless of the genotype distribution of ASIP. In addition, the horses with MC1R $E^+$/- and a dominant ASIP $A^A$/- allele showed bay coat color, but not black, suggesting that the ASIP $A^A$ allele represses black coat color development in the hairs of the body, but not in the mane and all four legs. Pedigree analysis showed a consistent relationship between the genotype distribution of the MC1R and ASIP genes and basic coat color patterns, even in the $F_1$ progeny. The results of this study revealed the relationship between the coat color phenotype and genetic background and suggested that useful information may be provided for molecular breeding of Jeju horses.

• Journal of Animal Science and Technology
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• v.44 no.1
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• pp.23-30
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• 2002

PCR-RFLP analysis was carried out to investigate the genotype of Melanocortin receptor 1 (MC1R) gene in Korean Brindle Cattle and Korean Cattle with dark muzzle, which are coat color and muzzle pigmentation variants of Korean Cattle, respectively. Allelic variants of MC1R in cattle were analyzed by digestion with BsrFⅠ, AciⅠ. Among six genotypes, $E^D/E^D,\;E^D/E^+,\;E^D/e,\;E^+/E^+,\;E^+$/e and e/e, detected in cattle, only two genotypes, $E^+/E^+\;and\;E^+$/e, were observed in Korean Brindle Cattle, probably reflecting the necessary of $E^+$ allele for the expression of black brindle coat color. As in Korean Cattle with light muzzle, the $E^+$/e and e/e genotypes were detected in Korean Cattle with dark muzzle. The $E^+$ and e alleles frequencies in two populations of Korean Cattle with dark muzzle and with light muzzle were 0.37, 0.63 and 0,11, 0.89, respectively. Although the frequency of $E^+$ allele in Korean Cattle with dark muzzle was higher than in Korean Cattle with light muzzle, the $E^+$ allele was not completely associated with dark muzzle pigmentation. The results of this experiment indicate that the difference of MC1R genotype and frequency may be useful for fixation of coat color in Korean Cattle as well as Korean Brindle Cattle.

• Korean Journal of Animal Reproduction
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• v.24 no.2
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• pp.163-170
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• 2000

This study was conducted to examine the effects of recombinant Bovine Somatotropin (rBST), vitamin E(Vit. E) and selenium (Se) administration on the blood chemical values and hormone concentrations of serum in Hanwoo sires. Hanwoo sires were randomly assigned to five groups; 1) control, 2) rBST,0.09mg/kg body weight (BW), 3) Vit E, 1,500IU/kg BW, 4) Se 0.1mg/kg BW, 5) Vit E, 1,500IU plus Se 0.1mg/kg BW. rBST, Vit. E and Se for each experimental group were given 6 times at 15 days interval by intermuscular injection. Blood samples were collected ten times for experimental periods and separated the serum by centrifugation and stored into deep freezer. The concentration of albumin was the highest in Se group than those of any other groups (P＜0.05) and Vit. E plus Se group was significantly higher than in the control and rBST groups (P＜0.05). The concentrations of blood urea nitrogen (BUN) and creatinine were significantly higher in rBST group than any other groups (P＜0.05). The concentration of total protein in rBST, Se and Vit. E plus Se groups were significantly higher than in control group (P＜0.05). The concentrations of calcium, cholesterol,, glucose, inorganic phosphorus and triglycerides in serum were not difference in all experimental groups (P＞0.05). The concentration of estradiol was slightly higher in Se and Vit. E plus Se groups than those of any other groups, but not significantly difference among the experimental groups (P＜0.05). The concentration of testosterone was not affected by the administration of rBST, Vit. E and Se.

• Journal of Life Science
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• v.24 no.8
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• pp.910-914
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• 2014

For the identification of the Jeju black cattle, Hanwoo and imported beef, we performed a multiplex polymerase chain reaction (PCR) associated with microsatellite (MS) and melanocortin 1 receptor (MC1R) gene. The MC1R gene plays an important role in regulation of the melanin synthesis within mammalian melanocytes. MC1R encoded by extension (E) locus was almost fixed with recessive red e allele in the Hanwoo. We estimated that the specific genotypes ($E^+/E^+$, $E^+/e$) of MC1R gene were characteristic genotypes of Jeju black cattle. But the PCR products resulted from using the MC1R gene derived primers only are not sufficient to identify Jeju black cattle from other relatives. We performed two times of successive multiplex PCR to provide a more accurate result for the identification of Jeju black cattle. The results suggest that two types of successive multiplex PCR methods using MC1R gene and Microsatellite derived primer set will be more useful to identification of Jeju black cattle, Hanwoo and imported beef.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.645-648
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• 2005

Let K be a Galois extension of a field F with G = Gal(K/F). Let L be an extension of F such that $K\;{\otimes}_F\;L\;=\; N_1\;{\oplus}N_2\;{\oplus}{\cdots}{\oplus}N_k$ with corresponding primitive idempotents $e_1,\;e_2,{\cdots},e_k$, where Ni's are fields. Then G acts on $\{e_1,\;e_2,{\cdots},e_k\}$ transitively and $Gal(N_1/K)\;{\cong}\;\{\sigma\;{\in}\;G\;/\;{\sigma}(e_1)\;=\;e_1\}$. And, let R be a commutative F-algebra, and let P be a prime ideal of R. Let T = $K\;{\otimes}_F\;R$, and suppose there are only finitely many prime ideals $Q_1,\;Q_2,{\cdots},Q_k$ of T with $Q_i\;{\cap}\;R\;=\;P$. Then G acts transitively on $\{Q_1,\;Q_2,{\cdots},Q_k\},\;and\;Gal(qf(T/Q_1)/qf(R/P))\;{\cong}\;\{\sigma{\in}\;G/\;{\sigma}-(Q_1)\;=\;Q_1\}$ where qf($T/Q_1$) is the quotient field of $T/Q_1$.

• Journal of Service Research and Studies
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• v.2 no.2
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• pp.1-21
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• 2012

e-R&D means conducting research and development with network or computer software in cyber space. Given the rapid technology paradigm shift and diversified customer needs, companies face the problem of new product and service innovation. This paper introduces the strategic view for e-R&D status, case examples, and e-R&D service. We state e-R&D adoption stages for strengthening the industry competitiveness and IT service utilization.