• 제목/요약/키워드: M.G.F

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MULTIPLICATION MODULES WHOSE ENDOMORPHISM RINGS ARE INTEGRAL DOMAINS

  • Lee, Sang-Cheol
    • 대한수학회보
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    • 제47권5호
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    • pp.1053-1066
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    • 2010
  • In this paper, several properties of endomorphism rings of modules are investigated. A multiplication module M over a commutative ring R induces a commutative ring $M^*$ of endomorphisms of M and hence the relation between the prime (maximal) submodules of M and the prime (maximal) ideals of $M^*$ can be found. In particular, two classes of ideals of $M^*$ are discussed in this paper: one is of the form $G_{M^*}\;(M,\;N)\;=\;\{f\;{\in}\;M^*\;|\;f(M)\;{\subseteq}\;N\}$ and the other is of the form $G_{M^*}\;(N,\;0)\;=\;\{f\;{\in}\;M^*\;|\;f(N)\;=\;0\}$ for a submodule N of M.

RIN-m5F 세포에서 야관청혈탕(夜關淸血湯)이 인슐린 분비에 미치는 영향 (Effect of YCT on Insulin Secretion in RIN-m5F Cells)

  • 김진미;조충식;김철중
    • 대한한의학회지
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    • 제31권4호
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    • pp.20-37
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    • 2010
  • Objective: This study was performed to investigate the effect of Yagwan-cheunghyeoltang (YCT) on insulin secretion in RIN-m5F cells. Methods: After treatment with various concentrations of YCT to RIN-m5F cells, cell viability, free radical-scavenging activity, SOD activity, and insulin secretion were measured. Additionally, insulin-related gene expressions were measured using real-time RT-PCR. Results: 1. YCT didn't show any influence on RIN-m5F cells viability. 2. YCT showed free radical-scavenging activity by 16% at $100{\mu}g/m{\ell}$ of concentration. 3. YCT showed enhancement of SOD activity by 60% at $100{\mu}g/m{\ell}$ of concentration. 4. YCT significantly increased insulin secretion in RIN-m5F cells in a dose-dependent manner. 5. YCT up-regulated INS-1, INS-2, IRS-1, IRS-2 and IRS-3 mRNA expressions compared to the control group. 6. YCT down-regulated INS-R, GCK, GLP-1R and GLP-2R mRNA expressions compared to the control group. Conclusion: YCT has pharmaceutical properties enhancing insulin production and controlling glucose-associated metabolism, and could be a candidate for drug development after further research.

어류의 행동에 관한 연구 - 1 . 붕어의 유영력 - (Study on the Behavior of the Fish - 1 . The Swimming Force of Crusian Carp , Carassius Carassius -)

  • 손태준
    • 수산해양기술연구
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    • 제20권1호
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    • pp.1-5
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    • 1984
  • 고기가 자망에 이망될 숙건하에 그물면에 작용하는 붕어(Carassius carassius)의 유영력을 시험수조에서 strain gauge를 써서 즉정한 결과는 다음과 같다. 1. 순간최대유영력 및 지속최대유영력과의 체중과의 관계는 F 하(M) =1.45W, F 하(s) =0.29W 이다. 2. 순관최대유영력 및 지속최대유영력과의 체중과의 관계는 F 하(M) =0.11L 상(2.63), F 하(S) =0.15L 상(1.77)이다. 3. 붕어의 유체저항계수는 C 하(s) ≒0.287이다.

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The Spin-Rotation Interaction of the Proton and the Fluorine Nucleus in the Tetrahedral Spherical Top Molecules

  • Lee, Sang-Soo;Ozier, Irving;Ramsey, N.F.
    • Nuclear Engineering and Technology
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    • 제5권1호
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    • pp.38-43
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    • 1973
  • A $X_4$형분자인 C $H_4$, Si $H_4$, Ge $H_4$, C $F_4$, Si $F_4$ 및 Ge $F_4$의 양자 또는 불소원자핵의 spin과 분자의 회전사이의 상호작용의 크기를 나타내는 spin-rotation constant $c_{av}$ 를 분자선자기공명방법에 의하여 실험적으로 결정하였다. 강자장근사에 의한 Hamiltonian 은 W $m_{I}$ $m_{J}$=- $g_{I}$ $m_{I}$H- $g_{J}$ $m_{J}$H- $C_{av}$ $m_{I}$ $m_{J}$로 주어지며, $c_{av}$ 는 C tensor의 trace의 3분지 1이 된다. 원자핵자기공오곡선은 v=- $g_{I}$H- $c_{av}$ $m_{J}$로 주어지는 여러개의 회전광공오선의 중첩으로 이룩되며, 전체곡선은 Gauss곡선으로 근사하여 $c_{av}$ 값을 구하였다. 회전공오선은 v= $g_{J}$H- $C_{av}$ $m_{I}$로 주어지며, $m_{I}$는 0, $\pm$1, $\pm$2의 값을 갖는다. $c_{av}$ 의 크기는 인접하는 두 회전공오곡선사이의 진동수치로서도 구할수 있다. 본실험에서 원자핵공오과 회전공오 공히 이용되였다. $c_{av}$ 의 부호는 분자선자기공오실험에서 쓰이는 방법으로서, 양자화되여서 불균일자장에서 분리된 분자선을 진행하는 방향의 좌측 또는 우측에서 부분적으로 차단하면서, 공오곡선의 변화를 보는것으로, 결정된 부호 와 $c_{av}$ 의 크기는 다음과 같다. C $H_4$; -10.3$\pm$0.4kHz Si $H_4$; +3.71$\pm$0.08kHz / Ge $H_4$; +3.79$\pm$0.13kHz C $F_4$; -6.81$\pm$0.08kHz / Si $F_4$; -2.46$\pm$0.06kHz Ge $F_4$; -1.84$\pm$0.04kHz

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THE STRUCTURE CONFORMAL VECTOR FIELDS ON A SASAKIAN MANIFOLD

  • Hyun, Jong-Ik
    • 대한수학회논문집
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    • 제9권2호
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    • pp.393-400
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    • 1994
  • Let M(f,η,ξ,g) be a (2m + 1)-dimensional Sasakian manifold with soldering form dp ∈ ΓHom(Λ/sup q/TM, TM) (dp: canonical vector-valued 1-form) where f,η,ξ and g are the (1,1)-tensor field, the structure 1-form, the structure vector field and the metric tensor of M, respectively.(omitted)

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THE STRUCTURE OF A CONNECTED LIE GROUP G WITH ITS LIE ALGEBRA 𝖌=rad(𝖌)⊕ 𝔰𝒍(2,𝔽)

  • WI, MI-AENG
    • 호남수학학술지
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    • 제17권1호
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    • pp.7-14
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    • 1995
  • The purpose of this study is to construct the structure of the connected Lie group G with its Lie algebra $g=rad(g){\oplus}sl(2, \mathbb{F})$, which conforms to Stellmacher's [4] Pushing Up. The main idea of this paper comes from Stellmacher's [4] Pushing Up. Stelhnacher considered Pushing Up under a finite p-group. This paper, however, considers Pushing Up under the connected Lie group G with its Lie algebra $g=rad(g){\oplus}sl(2, \mathbb{F})$. In this paper, $O_p(G)$ in [4] is Q=exp(q), where q=nilrad(g) and a Sylow p-subgroup S in [7] is S=exp(s), where $s=q{\oplus}\{\(\array{0&*\\0&0}\){\mid}*{\in}\mathbb{F}\}$. Showing the properties of the connected Lie group and the subgroups of the connected Lie group with relations between a connected Lie group and its Lie algebras under the exponential map, this paper constructs the subgroup series C_z(G)

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Normal Interpolation on AX = Y in CSL-algebra AlgL

  • Jo, Young Soo;Kang, Joo Ho
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.293-299
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    • 2005
  • Let ${\cal{L}}$ be a commutative subspace lattice on a Hilbert space ${\cal{H}}$ and X and Y be operators on ${\cal{H}}$. Let $${\cal{M}}_X=\{{\sum}{\limits_{i=1}^n}E_{i}Xf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}$$ and $${\cal{M}}_Y=\{{\sum}{\limits_{i=1}^n}E_{i}Yf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}.$$ Then the following are equivalent. (i) There is an operator A in $Alg{\cal{L}}$ such that AX = Y, Ag = 0 for all g in ${\overline{{\cal{M}}_X}}^{\bot},A^*A=AA^*$ and every E in ${\cal{L}}$ reduces A. (ii) ${\sup}\;\{K(E, f)\;:\;n\;{\in}\;{\mathbb{N}},f_i\;{\in}\;{\cal{H}}\;and\;E_i\;{\in}\;{\cal{L}}\}\;<\;\infty,\;{\overline{{\cal{M}}_Y}}\;{\subset}\;{\overline{{\cal{M}}_X}}$and there is an operator T acting on ${\cal{H}}$ such that ${\langle}EX\;f,Tg{\rangle}={\langle}EY\;f,Xg{\rangle}$ and ${\langle}ET\;f,Tg{\rangle}={\langle}EY\;f,Yg{\rangle}$ for all f, g in ${\cal{H}}$ and E in ${\cal{L}}$, where $K(E,\;f)\;=\;{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Y\;f_{i}{\parallel}/{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Xf_{i}{\parallel}$.

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하이퍼큐브형 상호연결망의 비쌍형 다대다 서로소인 경로 커버 (Unpaired Many-to-Many Disjoint Path Covers in Hypercube-Like Interconnection Networks)

  • 박정흠
    • 한국정보과학회논문지:시스템및이론
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    • 제33권10호
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    • pp.789-796
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    • 2006
  • 그래프 G의 비쌍형 다대다 k-서로소인 경로 커버(k-DPC)는 k개의 서로 다른 소스 정점과 싱크 정점을 연결하며 그래프에 있는 모든 정점을 지나는 k개의 서로소인 경로 집합을 말한다 여기서 한 소스는 임의의 한 싱크와 짝지어질 수 있다. 이 논문에서는 하이퍼큐브형 상호연결망의 한 부류인 제한된 HL-그래프에서 비쌍형 다대다 DPC를 고려하여, 고장인 요소(정점이나 에지)의 수가 f 이하인 모든 m차원 제한된 HL-그래프$(m{\geq}3)$$f+k{\leq}m-2$을 만족하는 임의의 $f{\geq}0,\;k{\geq}1$에 대하여 비쌍형 다대다 k-DPC를 가짐을 보인다.

ORDERED GROUPS IN WHICH ALL CONVEX JUMPS ARE CENTRAL

  • Bludov, V.V.;Glass, A.M.W.;Rhemtulla, Akbar H.
    • 대한수학회지
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    • 제40권2호
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    • pp.225-239
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    • 2003
  • (G, <) is an ordered group if'<'is a total order relation on G in which f < g implies that xfy < xgy for all f, g, x, y $\in$ G. We say that (G, <) is centrally ordered if (G, <) is ordered and [G,D] $\subseteq$ C for every convex jump C $\prec$ D in G. Equivalently, if $f^{-1}g f{\leq} g^2$ for all f, g $\in$ G with g > 1. Every order on a torsion-free locally nilpotent group is central. We prove that if every order on every two-generator subgroup of a locally soluble orderable group G is central, then G is locally nilpotent. We also provide an example of a non-nilpotent two-generator metabelian orderable group in which all orders are central.

In0.8Ga0.2As HEMT 소자에서 Output-conductance가 차단 주파수에 미치는 영향에 대한 연구 (Effect of Output-conductance on Current-gain Cut-off frequency in In0.8Ga0.2As High-Electron-mobility Transistors)

  • 노태범;김대현
    • 센서학회지
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    • 제29권5호
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    • pp.324-327
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    • 2020
  • The impact of output conductance (go) on the short-circuit current-gain cut-off frequency (fT) in In0.8Ga0.2As high-electron-mobility transistors (HEMTs) on an InP substrate was investigated. An attempted was made to extract the values of fT in a simplified small-signal model (SSM) of the HEMTs, derive an analytical formula for fT in terms of the extrinsic model parameters of the simplified SSM, which are related to the intrinsic model parameters of a general SSM, and verify its validity for devices with Lg from 260 to 25 nm. In long-channel devices, the effect of the intrinsic output conductance (goi) on fT was negligible. This was because, from the simplified SSM perspective, three model parameters, such as gm_ext, Cgs_ext and Cgd_ext, were weakly dependent on goi. However, in short-channel devices, goi was found to play a significant role in degrading fT as Lg was scaled down. The increase in goi in short-channel devices caused a considerable reduction in gm_ext and an overall increase in the total extrinsic gate capacitance, yielding a decrease in fT with goi. Finally, the results were used to infer how fT is influenced by goi in HEMTs, emphasizing that improving electrostatic integrity is also critical importance to benefit fully from scaling down Lg.