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EXTENSIONS OF NAGATA'S THEOREM

  • Hamed, Ahmed
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.797-808
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    • 2018
  • In [1], the authors generalize the concept of the class group of an integral domain $D(Cl_t(D))$ by introducing the notion of the S-class group of an integral domain where S is a multiplicative subset of D. The S-class group of D, $S-Cl_t(D)$, is the group of fractional t-invertible t-ideals of D under the t-multiplication modulo its subgroup of S-principal t-invertible t-ideals of D. In this paper we study when $S-Cl_t(D){\simeq}S-Cl_t(D_T)$, where T is a multiplicative subset generated by prime elements of D. We show that if D is a Mori domain, T a multiplicative subset generated by prime elements of D and S a multiplicative subset of D, then the natural homomorphism $S-Cl_t(D){\rightarrow}S-Cl_t(D_T)$ is an isomorphism. In particular, we give an S-version of Nagata's Theorem [13]: Let D be a Krull domain, T a multiplicative subset generated by prime elements of D and S another multiplicative subset of D. If $D_T$ is an S-factorial domain, then D is an S-factorial domain.

Mutation Cases in the Korean Population using 23 Autosomal STR Loci Analysis

  • Kim, Jeongyong;Kim, Hyojeong;Lee, Ja Hyun;Kim, Hyo Sook;Kim, Eungsoo
    • Biomedical Science Letters
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    • v.27 no.2
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    • pp.105-110
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    • 2021
  • Short Tandem Repeats (STR) analysis which characterized by genetic polymorphism has been widely used in the forensic genetic fields. Unfortunately, mutation occurred in various STR loci could make it difficult to interpret STR data. Thus, the mutation rate of STR loci plays an important role for the data interpretation in human identification and paternity test. To verify the mutation of the STR loci in the Korean population, 545 trio sets (father, mother, and child) were analyzed with two commercial STR kits that include the 23 autosomal STR loci (D1S1656, TPOX, D2S441, D2S1338, D3S1358, FGA, D5S818, CSF1PO, D7S820, D8S1179, D10S1248, TH01, D12S391, VWA D13S317, D16S539, D18S51, D19S433, D21S11, D22S1045, SE33, Penta E and Penta D). As a result, 36 mutations were observed in 14 STR loci. The types of mutation were also classified by the increase or decrease of the alleles. The overall mutation rate was 1.4×10-3, and the paternal mutation rate was four times higher than that of the maternal. This study will provide more detailed criterion for human identification by the mutation rate of STR loci in the Korean population.

A Note on S-Noetherian Domains

  • LIM, JUNG WOOK
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.507-514
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    • 2015
  • Let D be an integral domain, t be the so-called t-operation on D, and S be a (not necessarily saturated) multiplicative subset of D. In this paper, we study the Nagata ring of S-Noetherian domains and locally S-Noetherian domains. We also investigate the t-Nagata ring of t-locally S-Noetherian domains. In fact, we show that if S is an anti-archimedean subset of D, then D is an S-Noetherian domain (respectively, locally S-Noetherian domain) if and only if the Nagata ring $D[X]_N$ is an S-Noetherian domain (respectively, locally S-Noetherian domain). We also prove that if S is an anti-archimedean subset of D, then D is a t-locally S-Noetherian domain if and only if the polynomial ring D[X] is a t-locally S-Noetherian domain, if and only if the t-Nagata ring $D[X]_{N_v}$ is a t-locally S-Noetherian domain.

A study of refraction state of middle aged & manhood in Daegu (대구지역 중·장년층의 굴절상태 연구)

  • Choi, Gei-Hun
    • Journal of Korean Ophthalmic Optics Society
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    • v.9 no.2
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    • pp.323-332
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    • 2004
  • This study researched the visual acuity test object and Auto-refractormeter, visual of near power. The object were composed of middle aged, the old men and women who in habit Daegu. The results were as follows : 1. The subjects consisted of 537 people, 29.98% men, 70.02% women. 2. The emmetropia was 1.12% for myopia, 2.79% for hyperopia, 96.09% for astigmatism. 3. The abnormal refraction was composition for myopic compound astigmatism(16.57%), hyperopia compound astigmatism(45.62%), Mixed astigmatism(33.89%). 4. On the Myopic Spherical Equivalent(S.E) power, the range of -0.50D ${\leq}$ M.S.E < -1.00D was 21.67%, -1.00D ${\leq}$ M.S.E < -2.00D was 48.89%, -2.00D ${\leq}$ M.S.E < -6.00D was 29.44%. 5. On the Hyperopic Spherical Equivalent(S.E) power, the range of +0.50D ${\leq}$ H.S.E < +1.00D was 28.57%, +1.00D ${\leq}$ H.S.E < +2.00D was 49.30%, +2.00D ${\leq}$ H.S.E < +6.00D was 23.13%. 6. The addition power was 1.00D(8.01%), 1.50D(8.57%), 2.00D(13.78%), 2.50D(16.57%), 3.00D(16.95%), 3.50D(17.88%), 4.00D(18.25%).

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Physiological Response of Potato Variety to Soil Salinity (토양염농도에 따른 감자 품종들의 생장특성)

  • Kim, Sun;Yang, Chang-Hyu;Jeong, Jae-Hyeok;Choi, Weon-Young;Lee, Kyu-Seong;Kim, Si-Ju
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.58 no.2
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    • pp.85-90
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    • 2013
  • This study was conducted to examine the basis for the information to select the suitable potato varieties grown in new reclaimed land. The potatoes of five varieties were planted in the port with 4 different electrical conductivities of saturated extracts of soil taken the Saemangeum reclamation area, which was made of non-treatment salt and three concentrations of salt treatment, 1.6 dS $m^{-1}$, 3.2 dS $m^{-1}$, 4.8 dS $m^{-1}$, respectively. All of the potato varieties were uniformly emerged without missing plant in all treatment groups, even 4.8 dS $m^{-1}$ treatment group. According to the salt concentration of soil, required date to the emergence of the potato comparing to non-treatment salt was delayed 3-4 days in 1.6 dS $m^{-1}$, 6-10 days in 3.2 dS $m^{-1}$, 7-13 days in 4.8 dS $m^{-1}$, respectively, and the number of its branch decreased by 14-58% comparing to non-treatment salt depending on varieties. Since the increase of the salt concentration of the soil was more serious the decrease of the number of its branch, but plant height tended to increase when branch number per plant was small, which was depending on more number of its branch than salt concentration. Fresh tuber yield of potato comparing to non-treatment salt were decrease 33.7% in 1.6 dS $m^{-1}$, 59.5% in 3.2 dS $m^{-1}$, 79.3% 7-13 days in 4.8 dS $m^{-1}$, respectively. The threshold EC starting the growth inhibition of fresh weight decreased was 1.2 dS $m^{-1}$ for Chudong, 1.8 $m^{-1}$ for Chubeak, 1.9 $m^{-1}$ for Chugang and Chuyeong, and 2.0 $m^{-1}$ for Sumi, and EC which decreased 50% of dry weight index was 2.4 dS $m^{-1}$ for Chubaek, 2.45 dS $m^{-1}$ for Chudong, 2.81 dS $m^{-1}$ for Chugang, 3.03 dS $m^{-1}$ for Chuyeong, and 3.29 dS $m^{-1}$ for Sumi. The present results suggest that Sumi is considered to the suitable potato variety grown on saline soils.

Changes in Specific Gravity, Total Solid and Protein Contents of Human Milk During the Course of Lactation in Korean Women (한국인 모유의 수유기간별 비중, 충고형분 및 단백질 함량의 변화)

  • 이종숙
    • Journal of Nutrition and Health
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    • v.21 no.2
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    • pp.129-133
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    • 1988
  • The lonitudinal determination of specific gravity, total solid and protein contents of human milk were carried out in 27 Korean women. Human milk samples from the subjects were collected at 15, 30, 60, 90, 120, 150th days of lactation. 1) The average values of specific gravity of the milk was 1, 0281 (S.D. 0.0018, n=12), with a range of 1.0200-1.0383. 2) The average values of total soild of the milk was 12.07g/100ml(S.D. 0.38, n=112), with a range of 9.36-15.88g/100ml. 3) The average values of protein content of the milk was 1.20g/100ml (S.D. 0.14, n=112), with a range of 1.09-1.46g/100ml. A slight decrease of specific gravity and protein content in human milk was found during the course of lactation, but significant decrease was not found in total solid content.

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Optimal Timing to Assess Drain Amylase Concentration after Elective Gastrectomy

  • Wakahara, Tomoyuki;Kanemitsu, Kiyonori;Miura, Susumu;Tsuchida, Shinobu;Iwasaki, Takeshi;Sasako, Mitsuru
    • Journal of Gastric Cancer
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    • v.21 no.1
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    • pp.30-37
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    • 2021
  • Purpose: While the amylase concentration of the drainage fluid (dAmy) has been reported to be a predictor of postoperative pancreas-related complications (PPRC), the optimal timing for its measurement has not been fully investigated. Materials and Methods: The clinicopathological data of 387 patients who underwent elective gastrectomy for gastric cancer were reviewed. Laboratory data, including dAmy on postoperative days 1 (dAmy1) and 3 (dAmy3), and serum C-reactive protein (sCRP) concentrations on postoperative days 1 (sCRP1) and 3 (sCRP3) were compared between patients with PPRC and without PPRC. Results: Nineteen of the 387 patients (4.9%) developed PPRC. The optimal cutoff values of dAmy1, dAmy3, sCRP1, and sCRP3 were 1514 IU/L, 761 IU/L, 8.32 mg/dL, and 15.15 mg/dL, respectively. The area under the curve of dAmy1 was greater than that of dAmy3 (0.915 vs. 0.826), and that of sCRP3 was greater than that of sCRP1 (0.820 vs. 0.659). In the multivariate analysis, dAmy1 (P<0.001) and sCRP3 (P=0.004) were significant predictors of PPRC, while dAmy3 (P=0.069) and sCRP1 (P=0.831) were not. Thirteen (41.9%) of 31 patients with both dAmy1 ≥1,545 IU/L and sCRP3 ≥15.15 mg/dL had PPRC ≥Clavien-Dindo II. In contrast, among 260 patients with both dAmy1 <1,545 IU/L and sCRP3 <15.15 mg/dL, none developed PPRC. Conclusions: dAmy1 was more useful than dAmy3 in predicting PPRC. The combination of dAmy1 and sCRP3 may be a useful criterion for the removal of drains on postoperative day 3.

THE SPLIT AND NON-SPLIT TREE (D, C)-NUMBER OF A GRAPH

  • P.A. SAFEER;A. SADIQUALI;K.R. SANTHOSH KUMAR
    • Journal of applied mathematics & informatics
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    • v.42 no.3
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    • pp.511-520
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    • 2024
  • In this paper, we introduce the concept of split and non-split tree (D, C)- set of a connected graph G and its associated color variable, namely split tree (D, C) number and non-split tree (D, C) number of G. A subset S ⊆ V of vertices in G is said to be a split tree (D, C) set of G if S is a tree (D, C) set and ⟨V - S⟩ is disconnected. The minimum size of the split tree (D, C) set of G is the split tree (D, C) number of G, γχST (G) = min{|S| : S is a split tree (D, C) set}. A subset S ⊆ V of vertices of G is said to be a non-split tree (D, C) set of G if S is a tree (D, C) set and ⟨V - S⟩ is connected and non-split tree (D, C) number of G is γχST (G) = min{|S| : S is a non-split tree (D, C) set of G}. The split and non-split tree (D, C) number of some standard graphs and its compliments are identified.

Differences in caries activity and cariogenic factors in children according to the characteristics of their area of residence (거주지역 특성에 따른 어린이의 우식활성과 우식유발요인의 차이)

  • Jung, Eun-Young;Lee, Kwang-Hee;Kim, Dae-Eop;Jung, Young-Suk
    • Journal of the korean academy of Pediatric Dentistry
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    • v.24 no.3
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    • pp.610-627
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    • 1997
  • The purpose of this study was to compare the caries activity and cariogenic factors in children in different residence areas. The subjects of the study were 268 kindergarten children who were selected from the downtown area(D), apartment area(A), suburban area(S), and rural area(R) in and around the city of Iksan, Korea. Caries activity was measured as past caries experience (dft index and dfs index) and salivary reductase activity (Resazurin Disc Test scores). Cariogenic factors were investigated by a questionnaire. The results were as follows: Reductase activity S > R > D > A dt index R, S > D, A ft index D - the highest dft index A - the lowest ds index R - the highest fs index D - the highest Toothbrushing frequency A - the highest, R - the lowest Toothbrushing before bed D, A > S, R Toothbrushing by parents S, R > A, D Sweets intake freqeuncy A - the highest, S - the lowest Distance to dental office D < A < S < R Dental treatment experience D - the highest, A - the lowest Flouride application rate D > S > R > A Sealant application rate D > A, S > R Birth order A, S > R, D Age D > S > R, A

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Comparison of Results between Cytogenetic Technique and Molecular Genetic Technique in Colorectal Carcinoma Patients (대장암환자의 염색체 결실에서 세포유전학적 기법과 분자유전학적 기법의 결과 비교)

  • Park, Cheolin;Lee, Jae Sik
    • Korean Journal of Clinical Laboratory Science
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    • v.49 no.3
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    • pp.285-293
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    • 2017
  • Globally, 1.3 million people develop colon cancer every year, and 600,000 people die each year it. In Korea, colorectal carcinoma was associated with the highest death rate, accounting for 8,380 people, among solid cancers in 2015. Among the various methods for the diagnosis and study of colorectal carcinoma, the results obtained by cytogenetic and molecular genetic methods were compared. Detection rate was 47% in 18q, 40% in 17p, 27% in 22q, and 17% in 10q via CGH; detection rate was 57% in D18S59, 50% in D18S68, 50% in TP53CA, 47% in D18S6940% in D22S274, 37% in D22S283, 27% in D10S187, and 23% in D10S541 with LOH. Microsatellite marker matching rates were 100% in D22S274, 100% in D22S283, 100% in D10S186, 100% in D10S187, 100% in D10S541, 93% in D18S69, 93% in D18S68, 92% in TP53CA, and 89% in D18S59. The agreement rate between the two methods was 94.4% based on positive results using CGH. Based on the advantages of CGH, which was the ability to obtain information regarding the entire tumor genome at once, this experiment could identify the region with significant deletion using CGH and the more limited region LOH, with a completely different approach. LOH in the recurrent high-risk group, 18q21, was helpful in the selection of treatment modalities and in prognostic estimation as well as making the most appropriate decision for treatment. Therefore, it is suggested that LOH with surgical site tissues could be one of the treatment methods for recurrent high-risk group among patients with colorectal carcinoma.