• Title/Summary/Keyword: $A_1R$

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CHOW GROUPS OF COMPLETE REGULAR LOCAL RINGS III

  • Lee, Si-Chang
    • Communications of the Korean Mathematical Society
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    • v.17 no.2
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    • pp.221-227
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    • 2002
  • In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then $A_{n-2}$(R) = 0. (2) Let R be a regular local ring of dimension n and I be an ideal in R of height 3 such that R/I is a Gorenstein ring. Then [I] = 0 in $A_{n-3}$(R). (3) Let R = V[[ $X_1$, $X_2$, …, $X_{5}$ ]]/(p+ $X_1$$^{t1}$ + $X_2$$^{t2}$ + $X_3$$^{t3}$ + $X_4$$^2$+ $X_{5}$ $^2$/), where p $\neq$2, $t_1$, $t_2$, $t_3$ are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.

Reliability Study of Diagnos System of Oriental Medicine (r) S.1.1 (한방진단설문지 DSOM (r) S.1.1의 신뢰도연구)

  • Kim Mie-Jin;Jo Hey-Sook;Yeum Yun-Kyung;Yu Ju-Hee;Lee Yong-Tae;Ji Gyue-Yong;Kim Gyue-Gon;Lee In-Sun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.19 no.5
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    • pp.1146-1153
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    • 2005
  • This study was investigated so that reliability of disease mechanism diagnosis would be examined, the estimation about disease mechanism item of Questionnaires and the relations of disease mechanism would be inquired about 'health diagnosis program' Questionnaires which were used for the object diagnosis of Oriental medicine in the department of Oriental OB&GY, Oriental Medical hospital of Dong-Eui University. We analyzed the results of Questionnaires for 3354 outpatients who had OB & GY disease in the Oriental Medical hospital of Dong-Eui University from April 2000 to March 2004. The diagnosis Questionnaires(after DSOM (r) S.1.1) was the figures 188, the health diagnosis Questionnaires (after DSOM (r) S.1.1) was the figures 137. phiegm deficiency of qi was used in DSOM (r) R.1.1 as it is. The reliability of DSOM (r) S.1.1 was usually higher than DSOM (r) R.1.1 in deficiency of qi blood stasis insufficiency of Yang heat syndrom damp, 5 case disease mechanism. The reliability of DSOM (r) S.1.1 was usually lower than DSOM (r) R.1.1 in blood deficiency stagnation of qi coldness damp dryness liver heart spleen kidney, 8 case disease mechanism. but the great difference wasn't seen, therefore both DSOM (r) S.1.1 and DSOM (r) R.1.1 had similar result. A meeting point both DSOM (r) S.1.1 and DSOM (r) R.1.1 was above 90% in liver spleen blood stasis blood deficiency, 4 case disease mechanism with the exception of phlegm deficiency of Yim nothing of fluctuations of question. A meeting point of coldness that was 82.47% was lowest, A meeting point of the rest disease mechanism was above 85%. The effect that contributed in producing disease mechanism result and in which pure question was over relevance calculation 0.9, insufficiency of Yang damp phlegm that contributed in producing disease mechanism result was lower comparatively in DSOM (r) R.1.1. But the effect that contributed in producing disease mechanism result and in which pure question was over relevance calculation 0.9 except spleen kidney phlegm in DSOM (r) S.1.1

Comparison of Exergy in a Refrigerating System using R404A and R134a for a Refrigeration Truck with Operating Conditions (운전조건에 따른 R404A와 R134a를 적용한 냉동탑차용 냉장시스템의 엑서지 비교)

  • Shin, Yunchan;Kim, Taejung;Cho, Honghyun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.26 no.11
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    • pp.497-503
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    • 2014
  • The performances of refrigeration truck systems using R404A and R134a were investigated by experimental testing, and compared. The optimal COPs of the R404A and R134a systems were 2.96 and 3.42, when the refrigerant charge amount was 1.3 kg and 1.4 kg, respectively. When the indoor side air temperature increased from $5^{\circ}C$ to $9^{\circ}C$, the total exergy destruction rate of the R404A system was on average 39.1% higher than that of the R134a system. In addition, the exergy efficiency of the R404A system was 12.9% higher than that of R134a system, for various indoor air temperatures. When the outdoor side air temperature increased from $25^{\circ}C$ to $35^{\circ}C$, the total exergy destruction rate of the R404A and R134a systems decreased by 18.9% and 19.5%, respectively. In addition, the exergy efficiency of the R404A and R134a systems increased by 25.2% and 30.7%, respectively. As the compressor rotating speed increased, the COP of the R404A and R134a systems decreased by 23.6% and 18.4%. The total exergy destruction rate and exergy efficiency of the R404A system were 27.2% and 15.7% higher than those of R134a system, respectively. Compared to the R404A system, the R134a system showed a higher COP and a lower exergy destruction rate; thus it can be concluded that the R134a system has the better performance.

THE RANGE OF r-MAXIMUM INDEX OF GRAPHS

  • Choi, Jeong-Ok
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1397-1404
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    • 2018
  • For a connected graph G, an r-maximum edge-coloring is an edge-coloring f defined on E(G) such that at every vertex v with $d_G(v){\geq}r$ exactly r incident edges to v receive the maximum color. The r-maximum index $x^{\prime}_r(G)$ is the least number of required colors to have an r-maximum edge coloring of G. In this paper, we show how the r-maximum index is affected by adding an edge or a vertex. As a main result, we show that for each $r{\geq}3$ the r-maximum index function over the graphs admitting an r-maximum edge-coloring is unbounded and the range is the set of natural numbers. In other words, for each $r{\geq}3$ and $k{\geq}1$ there is a family of graphs G(r, k) with $x^{\prime}_r(G(r,k))=k$. Also, we construct a family of graphs not admitting an r-maximum edge-coloring with arbitrary maximum degrees: for any fixed $r{\geq}3$, there is an infinite family of graphs ${\mathcal{F}}_r=\{G_k:k{\geq}r+1\}$, where for each $k{\geq}r+1$ there is no r-maximum edge-coloring of $G_k$ and ${\Delta}(G_k)=k$.

Comparison of Condenser Characteristics using R134a and R22 under the Same Inlet Temperature Condition (동일한 유입온도조건에서 R134a와 R22 적용 응축기의 특성비교)

  • Kang, Shin-Hyung;Byun, Ju-Suk;Kim, Chang-Duk
    • Journal of Energy Engineering
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    • v.15 no.3 s.47
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    • pp.166-173
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    • 2006
  • R134a is considered as an alternative refrigerant to R22 for air conditioners. An experimental investigation was made to study the characteristics of the heat transfer and pressure drop for R134a flowing in a fin-and-tube heat exchanger used for commercial air-conditioning units. Experiments were carried out under the conditions of inlet refrigerant temperature of $60^{\circ}C$ and refrigerant mass fluxes of $150,\;200,\;and\;250\;kg/m^{2}s$. The inlet air has dry bulb temperature or $35^{\circ}C$, relative humidity of 40% and air velocity varying from 0.68 to 1.6 m/s. Experiments show that air velocity decreased by 5.9% is needed for R134a than that of R22 while pressure drop for R134a was $18.1{\sim}20.4%$ higher than that of R22 for the degree of subcooling $5^{\circ}C$. The results are useful in designing more compact and effective condensers for various refrigeration and air conditioning systems using refrigerant R134a.

MicroRNAs as Promising Biomarkers for Tumor-staging: Evaluation of MiR21 MiR155 MiR29a and MiR92a in Predicting Tumor Stage of Rectal Cancer

  • Yang, Yun;Peng, Wei;Tang, Tian;Xia, Lin;Wang, Xiao-Dong;Duan, Bao-Feng;Shu, Ye
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.13
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    • pp.5175-5180
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    • 2014
  • Objective: In this study, tumor-stage predictive abilities of miR21, miR155, miR29a and miR92a were evaluated in rectal cancer (RC). Methods: Expression of miR21, miR155, miR29a and miR92a was detected and quantitated in tumor tissue and in adjacent normal tissue from 40 patients by TaqMan MicroRNA assay. Results: Significant overexpression of miR21, miR155, miR29a and miR92a was observed in RC tissues. While high expression of miR21, miR155 and miR29a in N1-2 and C-D stages presented a potential correlation with N and Duke stages, partial correlation analysis suggested that only miR155 rather than miR21 and miR29a played a greater influencing role. Receiver operating characteristics (ROC) curve analysis showed that miR155 could discriminate N0 from N1-2 with 85.0% sensitivity and 85.0% specificity, N2 from N0-1 with 90.0% sensitivity and 96.7% specificity, and C-D stage from A-B stage with 81.0% sensitivity and 84.2% specificity. Conclusions: Increase in expression of miR155 might represent a novel predictor for RC N and Dukes staging.

SOME RESULTS OF MONOMIAL IDEALS ON REGULAR SEQUENCES

  • Naghipour, Reza;Vosughian, Somayeh
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.711-720
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    • 2021
  • Let R denote a commutative noetherian ring, and let 𝐱 := x1, …, xd be an R-regular sequence. Suppose that 𝖆 denotes a monomial ideal with respect to 𝐱. The first purpose of this article is to show that 𝖆 is irreducible if and only if 𝖆 is a generalized-parametric ideal. Next, it is shown that, for any integer n ≥ 1, (x1, …, xd)n = ⋂P(f), where the intersection (irredundant) is taken over all monomials f = xe11 ⋯ xedd such that deg(f) = n - 1 and P(f) := (xe1+11, ⋯, xed+1d). The second main result of this paper shows that if 𝖖 := (𝐱) is a prime ideal of R which is contained in the Jacobson radical of R and R is 𝖖-adically complete, then 𝖆 is a parameter ideal if and only if 𝖆 is a monomial irreducible ideal and Rad(𝖆) = 𝖖. In addition, if a is generated by monomials m1, …, mr, then Rad(𝖆), the radical of a, is also monomial and Rad(𝖆) = (ω1, …, ωr), where ωi = rad(mi) for all i = 1, …, r.

Study of Generalized Derivations in Rings with Involution

  • Mozumder, Muzibur Rahman;Abbasi, Adnan;Dar, Nadeem Ahmad
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.1-11
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    • 2019
  • Let R be a prime ring with involution of the second kind and centre Z(R). Suppose R admits a generalized derivation $F:R{\rightarrow}R$ associated with a derivation $d:R{\rightarrow}R$. The purpose of this paper is to study the commutativity of a prime ring R satisfying any one of the following identities: (i) $F(x){\circ}x^*{\in}Z(R)$ (ii) $F([x,x^*]){\pm}x{\circ}x^*{\in}Z(R)$ (iii) $F(x{\circ}x^*){\pm}[x,x^*]{\in}Z(R)$ (iv) $F(x){\circ}d(x^*){\pm}x{\circ}x^*{\in}Z(R)$ (v) $[F(x),d(x^*)]{\pm}x{\circ}x^*{\in}Z(R)$ (vi) $F(x){\pm}x{\circ}x^*{\in}Z(R)$ (vii) $F(x){\pm}[x,x^*]{\in}Z(R)$ (viii) $[F(x),x^*]{\mp}F(x){\circ}x^*{\in}Z(R)$ (ix) $F(x{\circ}x^*){\in}Z(R)$ for all $x{\in}R$.

Synthesis of a Precursor of Bulgecinine, (4S,5R)-1-Acetyl-2-formyl-5-benzyloxymethyl-4-pyrrolidinol (Bulgecinine 선구물질인 (4S,5R)-1-Acetyl-2-formyl-5-benzyloxymethyl-4-pyrrolidinol의 합성)

  • Jeon, Hak Rim;Yoon, Shin Sook;Shin, Young Sook;Nam Shin, Jeong E.
    • Journal of the Korean Chemical Society
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    • v.41 no.3
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    • pp.150-156
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    • 1997
  • A precursor of bulgecinine, (4S,5R)-1-acetyl-2-formyl-5-benzyloxymethyl-4-pyrrolidinol (15) has been synthesized from diacetone-D-glucose. Barton deoxygenation, conversion to an L-sugar and displacement with $N_3^-$ at C-5, and one-pot reductive cyclization at C-2 produced (6R)-6-Ο-benzyloxymethyl-(3R)-3-methoxy-2-oxa-5-azabicyclo-[2,2,1]heptane(13), a key intermediate for bulgecinine. N-Acetylation and acid hydrolysis of 13 furnished a precursor of bulgecinine, (2S,4S,5R)-pyrrolidinol derivative 15 and its (2R,4S,5R)-diastereomer.

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Duality of Paranormed Spaces of Matrices Defining Linear Operators from 𝑙p into 𝑙q

  • Kamonrat Kamjornkittikoon
    • Kyungpook Mathematical Journal
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    • v.63 no.2
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    • pp.235-250
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    • 2023
  • Let 1 ≤ p, q < ∞ be fixed, and let R = [rjk] be an infinite scalar matrix such that 1 ≤ rjk < ∞ and supj,k rjk < ∞. Let 𝓑(𝑙p, 𝑙q) be the set of all bounded linear operator from 𝑙p into 𝑙q. For a fixed Banach algebra 𝐁 with identity, we define a new vector space SRp,q(𝐁) of infinite matrices over 𝐁 and a paranorm G on SRp,q(𝐁) as follows: let $$S^R_{p,q}({\mathbf{B}})=\{A:A^{[R]}{\in}{\mathcal{B}}(l_p,l_q)\}$$ and $G(A)={\parallel}A^{[R]}{\parallel}^{\frac{1}{M}}_{p,q}$, where $A^{[R]}=[{\parallel}a_{jk}{\parallel}^{r_{jk}}]$ and M = max{1, supj,k rjk}. The existance of SRp,q(𝐁) equipped with the paranorm G(·) including its completeness are studied. We also provide characterizations of β -dual of the paranormed space.