• 제목/요약/키워드: fundamental ring

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EXACTNESS OF IDEAL TRANSFORMS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES

  • BAHMANPOUR, KAMAL
    • 대한수학회지
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    • 제52권6호
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    • pp.1253-1270
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    • 2015
  • Let (R, m) be a commutative Noetherian local domain, M a non-zero finitely generated R-module of dimension n > 0 and I be an ideal of R. In this paper it is shown that if $x_1,{\ldots },x_t$ ($1{\leq}t{\leq}n$) be a sub-set of a system of parameters for M, then the R-module $H^t_{(x_1,{\ldots },x_t)}$(R) is faithful, i.e., Ann $H^t_{(x_1,{\ldots },x_t)}$(R) = 0. Also, it is shown that, if $H^i_I$ (R) = 0 for all i > dim R - dim R/I, then the R-module $H^{dimR-dimR/I}_I(R)$ is faithful. These results provide some partially affirmative answers to the Lynch's conjecture in [10]. Moreover, for an ideal I of an arbitrary Noetherian ring R, we calculate the annihilator of the top local cohomology module $H^1_I(M)$, when $H^i_I(M)=0$ for all integers i > 1. Also, for such ideals we show that the finitely generated R-algebra $D_I(R)$ is a flat R-algebra.

자유파수를 이용한 새로운 실린더 운동방정식과 Junger and Feit의 실린더 운동방정식의 비교연구 (A Study of Comparison with Free Wave Number Between a New Cylinderical Wave Equation and the Wave Equation by Junger and Feit)

  • 조형국
    • 한국음향학회지
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    • 제15권6호
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    • pp.47-51
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    • 1996
  • 실린더 운동방정식은 실린더 내에서 발생되는 소음 해석에 매우 중요하다. 그러므로, 지금까지 많은 학자들에 의해 실린더 운동방정식을 유도되었다[1]. 참고문헌[6]에서는, 새로 제안돈 실린더 운동방정식, Junger and Feit의 실린더 운동방정식 그리고 가정해에 의한 선형방정식으로, 실린더가 자유 운동을 할 때, 자유파수를 구하였다. 본 논문에서는 자유파수들의 분산곡선들을 이용하여, 두 실린더운동방정식을 비교하였고, 링주파수와 링확장주파수의 계산으로, 자유파수들의 분산곡선의 물리적인 의미를 부가하였다. 이 결과, 새로 유도된 실린더 운동방정식의 타당함을 보였다. 새로 제안된 실린더 운동 방정식을 이용하면, 산업현장에서, 실린더 내의 고체파에 대한 보다 정확한 분석을 할 수 있을 것으로 사료된다.

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Hesperidin Inhibits Vascular Formation by Blocking the AKT/mTOR Signaling Pathways

  • Kim, Gi Dae
    • Preventive Nutrition and Food Science
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    • 제20권4호
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    • pp.221-229
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    • 2015
  • Hesperidin has been shown to possess a potential inhibitory effect on vascular formation in endothelial cells. However, the fundamental mechanism for the anti-angiogenic activity of hesperidin is not fully understood. In the present study, we evaluated whether hesperidin has anti-angiogenic effects in mouse embryonic stem cell (mES)-derived endothelial-like cells, and human umbilical vascular endothelial cells (HUVECs), and evaluated their mechanism via the AKT/mammalian target of rapamycin (mTOR) signaling pathway. The endothelial cells were treated with several doses of hesperidin (12.5, 25, 50, and $100{\mu}M$) for 24 h. Cell viability and vascular formation were analyzed using the 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide and tube formation assay, respectively. Alteration of the AKT/mTOR signaling in vascular formation was analyzed by western blot. In addition, a mouse aortic ring assay was used to determine the effect of hesperidin on vascular formation. There were no differences between the viability of mES-derived endothelial-like cells and HUVECs after hesperidin treatment. However, hesperidin significantly inhibited cell migration and tube formation of HUVECs (P<0.05) and suppressed sprouting of microvessels in the mouse aortic ring assay. Moreover, hesperidin suppressed the expression of AKT and mTOR in HUVECs. Taken together, these findings suggest that hesperidin inhibits vascular formation by blocking the AKT/mTOR signaling pathways.

저온 작업환경이 인간의 생리적 반응 및 작업 수행도에 미치는 영향 (An Effect of Cold Environment on Human's Physiological Responses and Task Performances)

  • 구학근;곽효연
    • Journal of Advanced Marine Engineering and Technology
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    • 제31권5호
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    • pp.622-629
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    • 2007
  • Some worker is occupationally exposed to cold and freezing environment. The cold stimuli in the working environment impose physiological and psychological loads on workers to decrease the task performance. The purpose of this study is to investigate the cold stimuli of cold and freezing stores widely used in Busan can make an effect on human's physiological responses and task performance, experimentally and analytically. In the experiment, 5 workers are selected as subjects, and then their skin temperatures of hand and ear, heart rates, blood pressure, and ring test performances in cold($3^{\circ}C$) and freezing($-22^{\circ}C$) stores were measured for 21 minutes and analyzed by using statistical method. It is observed that a physiological variation and the task performance are significantly influenced by an exposure time as well as a strength of cold stimuli. Also, it is suggested the exposure limiting times for the useful manual work and the performance predict model of the ring tasks. The result of this study will be useful for a fundamental data of which design the standard task time of manual tasks and solve the job placement problem of worker selection and placement in cold environment.

SOME ABELIAN MCCOY RINGS

  • Rasul Mohammadi;Ahmad Moussavi;Masoome Zahiri
    • 대한수학회지
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    • 제60권6호
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    • pp.1233-1254
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    • 2023
  • We introduce two subclasses of abelian McCoy rings, so-called π-CN-rings and π-duo rings, and systematically study their fundamental characteristic properties accomplished with relationships among certain classical sorts of rings such as 2-primal rings, bounded rings etc. It is shown that a ring R is π-CN whenever every nilpotent element of index 2 in R is central. These rings naturally generalize the long-known class of CN-rings, introduced by Drazin [9]. It is proved that π-CN-rings are abelian, McCoy and 2-primal. We also show that, π-duo rings are strongly McCoy and abelian and also they are strongly right AB. If R is π-duo, then R[x] has property (A). If R is π-duo and it is either right weakly continuous or every prime ideal of R is maximal, then R has property (A). A π-duo ring R is left perfect if and only if R contains no infinite set of orthogonal idempotents and every left R-module has a maximal submodule. Our achieved results substantially improve many existing results.

직각 링과 용량성 결합된 마이크로스트립 패치 구조의 새로운 2차원 메타 재질 구조 CRLH 0차 공진 안테나의 설계 (Design of a Novel 2D-Metamaterial CRLH ZOR Antenna with a Microstrip Patch Capacitively Coupled to a Rectangular Ring)

  • 장건호;강승택
    • 한국전자파학회논문지
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    • 제21권2호
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    • pp.143-151
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    • 2010
  • 본 논문에서는 Metamaterial CRLH 구조 기반의 0차 공진현상이 발생되는 새로운 직각 패치 안테나가 제안된다. 일반 마이크로스트립 패치 구조의 기본 공진 모드인 반파장 공진이나 반파장 공진의 양의 정수배가 아닌 구조 전체에 전계가 같은 위상을 갖게 하면서, 기존에 발표된 다수의 금속 쎌들이 일렬 연결된 1차원 0차 공진 안테나의 구조와 달리 금속 패치 주위에 하나의 용량성 결합 직각 링만을 부착하는 구조를 제안하는 것이다. 2.4 GHz에서 0차 공진 특성을 갖도록 설계된 등가회로에 따른 물리 구조의 치수들이 입력된 3차원 전자장 분석기에서 안테나의 성능에 대한 모의시험을 수행한다. 설계 결과 2.4 GHz에서 공진점을, 그리고 이득과 효율은 각각 5 dB와 98%를 얻었다. 또한 본 논문이 제안하는 안테나가 마이크로스트립 패치 안테나의 장점인 low-profile과 모노폴 안테나의 장점인 전방향 패턴을 동시에 가지는 특징이 논의된다.

CLASS FIELDS FROM THE FUNDAMENTAL THOMPSON SERIES OF LEVEL N = o(g)

  • CHOI So YOUNG;Koo JA KYUNG
    • 대한수학회지
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    • 제42권2호
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    • pp.203-222
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    • 2005
  • Thompson series is a Hauptmodul for a genus zero group which lies between $\Gamma$o(N) and its normalizer in PSL2(R) ([1]). We construct explicit ring class fields over an imaginary quadratic field K from the Thompson series $T_g$($\alpha$) (Theorem 4), which would be an extension of [3], Theorem 3.7.5 (2) by using the Shimura theory and the standard results of complex multiplication. Also we construct various class fields over K, over a CM-field K (${\zeta}N + {\zeta}_N^{-1}$), and over a field K (${\zeta}N$). Furthermore, we find an explicit formula for the conjugates of Tg ($\alpha$) to calculate its minimal polynomial where $\alpha$ (${\in}{\eta}$) is the quotient of a basis of an integral ideal in K.

철도차량 가스용접 이음재의 피로설계를 위한 최적 파라메타 연구 (A study on optimum parameter Fatigue Design for Gas Welded joint of STS301L)

  • 백승엽;배동호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1679-1683
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    • 2007
  • Stainless steel sheets are widely used as the structure material for the railroad cars and the commercial vehicles. These kinds structures used stainless steel sheets are commonly fabricated by using the gas welding. For fatigue design of gas welded joints such as fillet and plug and ring type joint, it is important to obtain optimum design parameter information on gas welded joints. In this paper, analysis approach for fatigue test using experimental design are evaluated optimum factor in gas welded joint type and geometrical parameters of materials. Using these results, that factors applied to fundamental information for fatigue design.

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폭발파에 의한 음향파 생성 메커니즘의 수치적 연구 (Numerical Study of Sound Generation Mechanism by a Blast Wave)

  • 빈종훈
    • 한국소음진동공학회논문집
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    • 제19권10호
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    • pp.1053-1061
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    • 2009
  • The goal of this paper is to investigate the generation characteristics of the main impulsive noise sources generated by the supersonic flow discharging from a muzzle. For this, this paper investigates two fundamental mechanisms to sound generation in shocked flows: shock motion and shock deformation. Shock motion is modeled numerically by examining the interaction of a sound wave with a shock. The numerical approach is validated by comparison with results obtained by linear theory for a small disturbance case. Shock deformations are modeled numerically by examining the interaction of a vortex ring with a blast wave. A numerical approach of a dispersion-relation-preserving(DRP) scheme is used to investigate the sound generation and propagation by their interactions in near-field.

COHEN-MACAULAY MODULES OVER NOETHERIAN LOCAL RINGS

  • Bahmanpour, Kamal
    • 대한수학회보
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    • 제51권2호
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    • pp.373-386
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    • 2014
  • Let (R,m) be a commutative Noetherian local ring. In this paper we show that a finitely generated R-module M of dimension d is Cohen-Macaulay if and only if there exists a proper ideal I of R such that depth($M/I^nM$) = d for $n{\gg}0$. Also we show that, if dim(R) = d and $I_1{\subset}\;{\cdots}\;{\subset}I_n$ is a chain of ideals of R such that $R/I_k$ is maximal Cohen-Macaulay for all k, then $n{\leq}{\ell}_R(R/(a_1,{\ldots},a_d)R)$ for every system of parameters $a1,{\ldots},a_d$ of R. Also, in the case where dim(R) = 2, we prove that the ideal transform $D_m(R/p)$ is minimax balanced big Cohen-Macaulay, for every $p{\in}Assh_R$(R), and we give some equivalent conditions for this ideal transform being maximal Cohen-Macaulay.