• 제목/요약/키워드: integral closure

검색결과 47건 처리시간 0.02초

SOME ONE-DIMENSIONAL NOETHERIAN DOMAINS AND G-PROJECTIVE MODULES

  • Kui Hu;Hwankoo Kim;Dechuan Zhou
    • 대한수학회보
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    • 제60권6호
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    • pp.1453-1461
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    • 2023
  • Let R be a one-dimensional Noetherian domain with quotient field K and T be the integral closure of R in K. In this note we prove that if the conductor ideal (R :K T) is a nonzero prime ideal, then every finitely generated reflexive (and hence finitely generated G-projective) R-module is isomorphic to a direct sum of some ideals.

평직 탄소섬유강화 복합재료의 파괴인성평가 (The Evaluation of Fracture Toughness for Woven Carbon Fibered Reinforced Composite Materials)

  • 박홍선;이우형;금진화;최정훈;구재민;석창성
    • 한국정밀공학회지
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    • 제27권10호
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    • pp.69-76
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    • 2010
  • This study examined how the fracture toughness is affected according to the variation of the initial crack length and the fiber arranged angle using FEA method and experimental method. Therefore, the energy release rates were calculated and compared by J-integral method and VCCT(Virtual Crack Closure Technique). The results of fracture toughness test verified these results. At this time, the locus method was used in order to determine the energy release rate. When the results of FEA were compared with those of experiment, all of those decreased with the increase of angle between load and the fiber arranged direction. The decrease was due to reducing maximum load and stiffness, and the reason of reduction has been judged that the inplane shear stress.

탄소성 응력집중부에서의 초기피로균열전파수명의 예측 (A Prediction of Initial Fatigue Crack Propagation Life in a notched Component Taking Elasto-Plastic Behavior)

  • 조상명;굴천조보
    • 한국해양공학회지
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    • 제2권2호
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    • pp.61-70
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    • 1988
  • In order to consider the concept of the fitness for purpose'in fatigue design of offshore structure, fracture mechanics is applied to evaluate initial or weld defects. Generally, linear elastic fracture mechanics has been applied to tstimate initial fatigue crack propagation rate as well as long fatigue crack propagation rate. But, initial fatigue crack propagation rate in elasto-plastic notch field may not be characterized by application of stress intensity factor range .DELTA. K, because plastic effect due to stress concentration of notch may contribute to initial crack propagation. Therefore, to introduce the plastic effect into fatigue crack driving force, in this studty, the evaluating method of J-integral range .DELTA. J, was developed by willson was modified for application to notch field. In calculation of .DELTA. J obtained from the modified J-integral, stress gradient and crack closure behavior in the notch field were considered. The initial crack propagation rates in the notch fields of mild steels and high tensile strength steels were correlated to .DELTA. J. As the result, it was cleared that the present .DELTA. J is applicable to charachterize the fatigue crack propagation rates in both the elastic and elasto-plastic notch fields.

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Furnish Potential for Packaging Papers-Influence on Plant Design and Product Quality

  • Feridun Dormischian;Dietmar Borschke
    • 한국펄프종이공학회:학술대회논문집
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    • 한국펄프종이공학회 2000년도 제26회 펄프종이기술 국제세미나
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    • pp.34-39
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    • 2000
  • Today's size of production operations in the packaging paper sector I sconstantly increasing , featuring integral processing systems, high-speed paper machines, and the increased marketing of lower basis weight products. The risk factors involved in these large investments lie more than ever in the available furnish potential and ongoing requirements for further closure of water loops and lower operating costs. A comparison is drawn between recovered paper furnish mixtures used in European mills with regard to fibre properties, strength potential and contaminant content, Both the furnish situation and development trends in modern fluting and testliner machines are instigating concept changes in stock preparation, the approach flow as well as in process water and rejects technology. Developments are currently focussed for example on more efficient debris separation using fine slotted screening, optimized refining , more systematic process water management with loop separation and integral water clarification as well as more efficient removal of microstickies, fillers and fines through appropriate combination of rejects handling and water clarification processes. Product quality differentiation depends decisively on strength characteristics as a function of refining , fines removal , paper machine technology, and sizing . Maximum availability of today's high speed paper machines and , as a result, cost effective production can be ensured by optimum balancing of all subsystems with in the overall concept and by reliable control of problems with contaminants and deposits.

ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Kamali, Muhammet;Orhan, Halit
    • 대한수학회보
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    • 제41권1호
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    • pp.53-71
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    • 2004
  • A certain subclass $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$. Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ are determined. Also we obtain radii of convexity for the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ are studied here.

해양 표면 혼합층 모델링에 대한 고찰 (A Review Study of Ocean Surface Mixed Layer Modelling)

  • 오임상;이영로
    • 한국해양학회지
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    • 제27권4호
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    • pp.311-323
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    • 1992
  • 해양의 표면 혼합층 모델은 그 접근방법에 따라 여러 가지로 나눈다. 즉 표면 혼 합층의 존재를 가정하고 출발한 적분모델, 혼합과 관계된 난류항을 K 이론 형태의 확 산 개념으로 나타내거나 혹은 난류 방정식을 이용하여 구하는 확산 모델, 그리고 한 격자점에서의 물리량은 여러 격자점으로부터의 혼합에 의존한다는 Transilient 모델이 이들이다. 각 유형의 모델은 고유의 장단점이 있으므로 연구의 목적과 내용에 따라 이 용되는 모델의 유형을 결정한다. 본 연구에서는 표현 혼합층에 대한 기존의 연구 방법 들을 살펴보고, 이들을 상호 비교하여 각 모델의 효율적인 적응영역을 알아보며, 표현 혼합층에 대한 최근의 연구동향을 알아봄으로써 향후 이 분야 연구에 주춧돌이 되고자 한다.

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ON OVERRINGS OF GORENSTEIN DEDEKIND DOMAINS

  • Hu, Kui;Wang, Fanggui;Xu, Longyu;Zhao, Songquan
    • 대한수학회지
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    • 제50권5호
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    • pp.991-1008
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    • 2013
  • In this paper, we mainly discuss Gorenstein Dedekind do-mains (G-Dedekind domains for short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field K and integral closure T. Then it is proved that R is a G-Dedekind domain if and only if for any prime ideal P of R which contains ($R\;:_K\;T$), P is Gorenstein projective. We also give not only an example to show that G-Dedekind domains are not necessarily Noetherian Warfield domains, but also a definition for a special kind of domain: a 2-DVR. As an application, we prove that a Noetherian domain R is a Warfield domain if and only if for any maximal ideal M of R, $R_M$ is a 2-DVR.

UNSTEADY SUPERSONIC INLET DIFFUSER FLOWS WITH SINUSOIDAL PRESSURE OSCILLATIONS

  • Jong Yun Oh
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1996년도 제7회 학술강연회논문집
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    • pp.107-116
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    • 1996
  • Numerical simulations have been conducted to characterize unsteady flow structures in an axisymmetric supersonic inlet diffuser with sinusoidal pressure oscillations at the diffuser exit. The formulation is based on the unsteady Navier-Stokes equations and turbulence closure is achieved using a two-layer model with a too-Reynolds-number scheme for the near-wall treatment. The governing equations are formulated in an integral form, and are discretized by the four-stage Runge-Kutta scheme for temporal terms and the Harten-Yee upwind TVD scheme for convective terms. Results indicated that the inlet shock characteristics are significantly modified by acoustic oscillations originating from the combustor. The characteristics of shock/boundarv-layer interactions (such as the size of separation bubble, terminal shock shape, and vorticity intensity) are also greatly iufluenced by the shock oscillation due to acoustic waves.

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The Factor Domains that Result from Uppers to Prime Ideals in Polynomial Rings

  • Dobbs, David Earl
    • Kyungpook Mathematical Journal
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    • 제50권1호
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    • pp.1-5
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    • 2010
  • Let P be a prime ideal of a commutative unital ring R; X an indeterminate; D := R/P; L the quotient field of D; F an algebraic closure of L; ${\alpha}$ ${\in}$ L[X] a monic irreducible polynomial; ${\xi}$ any root of in F; and Q = ${\alpha}$>, the upper to P with respect to ${\alpha}$. Then R[X]/Q is R-algebra isomorphic to $D[{\xi}]$; and is R-isomorphic to an overring of D if and only if deg(${\alpha}$) = 1.

WEIGHTED BLOCH SPACES IN $C^n$

  • Kyong Taik Hahn;Ki Seong Choi
    • 대한수학회지
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    • 제35권1호
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    • pp.177-189
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    • 1998
  • In this paper, weighted Bloch spaces $B_q (q > 0)$ are considered on the open unit ball in $C^n$. These spaces extend the notion of Bloch spaces to wider classes of holomorphic functions. It is proved that the functions in a weighted Bloch space admit certain integral representation. This representation formula is then used to determine the degree of growth of the functions in the space $B_q$. It is also proved that weighted Bloch space is a Banach space for each weight q > 0, and the little Bloch space $B_q,0$ associated with $B_q$ is a separable subspace of $B_q$ which is the closure of the polynomials for each $q \geq 1$.

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