• 제목/요약/키워드: attached prime

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THE SET OF ATTACHED PRIME IDEALS OF LOCAL COHOMOLOGY

  • RASOULYAR, S.
    • 호남수학학술지
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    • 제23권1호
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    • pp.1-4
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    • 2001
  • In [2, 7.3.2], the set of attached prime ideals of local cohomology module $H_m^n(M)$ were calculated, where (A, m) be Noetherian local ring, M finite A-module and $dim_A(M)=n$, and also in the special case in which furthermore A is a homomorphic image of a Gornestien local ring (A', m') (see [2, 11.3.6]). In this paper, we shall obtain this set, by another way in this special case.

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THE STABILITY OF CERTAIN SETS OF ATTACHED PRIME IDEALS RELATED TO COSEQUENCE IN DIMENSION > k

  • Khanh, Pham Huu
    • 대한수학회보
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    • 제53권5호
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    • pp.1385-1394
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    • 2016
  • Let (R, m) be a Noetherian local ring, I, J two ideals of R, and A an Artinian R-module. Let $k{\geq}0$ be an integer and $r=Width_{>k}(I,A)$ the supremum of lengths of A-cosequences in dimension > k in I defined by Nhan-Hoang [9]. It is first shown that for each $t{\leq}r$ and each sequence $x_1,{\cdots},x_t$ which is an A-cosequence in dimension > k, the set $$\Large(\bigcup^{t}_{i=0}Att_R(0:_A(x_1^{n_1},{\ldots},x_i^{n_i})))_{{\geq}k}$$ is independent of the choice of $n_1,{\ldots},n_t$. Let r be the eventual value of $Width_{>k}(0:_AJ^n)$. Then our second result says that for each $t{\leq}r$ the set $\large(\bigcup\limits_{i=0}^{t}Att_R(Tor_i^R(R/I,\;(0:_AJ^n))))_{{\geq}k}$ is stable for large n.

정형 모서리 구조를 갖는 옵\ulcornerV 파라볼릭 안테나의 산란 특성 해석 (The Analysis of Scattering Characteristics of a Prime-focus Offset Parabolic Antenna with a Shaped Edge Structure)

  • 박대성;김형규;최재훈
    • 한국전자파학회논문지
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    • 제10권3호
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    • pp.412-418
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    • 1999
  • 기하학적 균일 회절 이론 (Uniform Geometrical Theory of Diffraction)을 이용하여 옵\ulcorner 파라볼릭 안테나의 산란 특성을 분석하였다. 먼저 파추적법(Ray Tracing)에 의하여 음영경계를 나눈후, 각 영역에 존재하는 반사파와 회절파를 기하학적 균일 회절 이론을 이용해 구하였다. 또한, 옵\ulcorner 파라볼릭 안테나의 모서리(edge)의 형태가 전자파의 산란 특성에 미치는 영향을 알아보기 위해 knife 모서리인 경우와 원형 캡을 부착한 경우를 분석하여 비교하였다.

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Asymptotic behavior of ideals relative to injective A-modules

  • Song, Yeong-Moo
    • 대한수학회논문집
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    • 제10권3호
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    • pp.491-498
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    • 1995
  • This paper is concerned with an asymptotic behavior of ideals relative to injective modules ove the commutative Noetherian ring A : under what conditions on A can we show that $$\bar{At^*}(a,E)=At^*(a,E)$?

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AN INDEPENDENT RESULT FOR ATTACHED PRIMES OF CERTAIN TOR-MODULES

  • Khanh, Pham Huu
    • 대한수학회보
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    • 제52권2호
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    • pp.531-540
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    • 2015
  • Let (R, m) be a Noetherian local ring, I an ideal of R, and A an Artinian R-module. Let $k{\geq}0$ be an integer and $r=Width_{>k}(I,A)$ the supremum of length of A-cosequence in dimension > k in I defined by Nhan-Hoang [8]. It is shown that for all $t{\leq}r$ the sets $$(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/I^n,A)))_{{\geq}k}\;and\\(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/(a_1^{n_1},{\cdots},a_l^{n_l}),A)))_{{\geq}k}$$ are independent of the choice of $n,n_1,{\cdots},n_l$ for any system of generators ($a_1,{\cdots},a_l$) of I.

ARTINIANNESS OF LOCAL COHOMOLOGY MODULES

  • Abbasi, Ahmad;Shekalgourabi, Hajar Roshan;Hassanzadeh-lelekaami, Dawood
    • 호남수학학술지
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    • 제38권2호
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    • pp.295-304
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    • 2016
  • In this paper we investigate the Artinianness of certain local cohomology modules $H^i_I(N)$ where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of $H^n_I(N)$, where n is the dimension of N.

A NOTE ON VECTOR-VALUED EISENSTEIN SERIES OF WEIGHT 3/2

  • Xiong, Ran
    • 대한수학회보
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    • 제58권2호
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    • pp.507-514
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    • 2021
  • Vector-valued Eisenstein series of weight 3/2 are often not holomorphic. In this paper we prove that, for an even lattice Ḻ, if there exists an odd prime p such that Ḻ is local p-maximal and the determinant of Ḻ is divisible by p2, then the Eisenstein series of weight 3/2 attached to the discriminant form of Ḻ is holomorphic.

Three-Dimensional Structure of Star-Forming Regions in NGC 6822 Hubble V

  • Lee, Hye-In;Oh, Heeyoung;Le, Huynh Anh N.;Pak, Soojong;Lee, Sungho;Mace, Gregory;Jaffe, Daniel T.;Nguyen-Luong, Quang;Tatematsu, Ken'ichi
    • 천문학회보
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    • 제42권2호
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    • pp.43.3-43.3
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    • 2017
  • NGC 6822 is a dwarf irregular galaxy in the Local Group and it is located in 500 kpc, further than the Large Magellanic Cloud and the Small Magellanic Cloud. Therefore, we can study star-forming processes by local condition in NGC 6822 instead of tidal force of the Galactic gravitational field. Hubble V is the brightest of several H II complexes in this galaxy. We observed Hubble V by using IGRINS attached on the 2.7 m telescope at the McDonald Observatory in Texas, US in May 2016. We performed a spectral mapping of $15^{{\prime}{\prime}}{\times} 7^{{\prime}{\prime}}$area on H and K bands, and detected emission lines of bright $Br{\gamma}\;{\lambda}2.1661{\mu}m$ and weak He I ${\lambda}2.0587{\mu}m$. Molecular hydrogen lines of 1-0S(1) ${\lambda}2.1218{\mu}m$, 2-1 S(1) ${\lambda}2.2477{\mu}m$, and 1-0 S(0) ${\lambda}2.2227{\mu}m$ was also detected. These emission lines show the structure of an ionized core and excited surface of clouds by far-ultraviolet photons, photodissociation region (PDR). We present three-dimensional maps of emission line distributions through multi slit scanning data and compare these results with the previous study. This presentation shows the physical structure of the star-forming regions and we discuss a PDR model and an evolution of Hubble V complex.

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E-Prime에 기반한 손가락 촉각 자극기의 개발 (Development of a Finger Tactile Stimulator Based on E-Prime Software)

  • 김형식;민윤기;김보성;민병찬;양재웅;이수정;최미현;이정한;탁계래;이봉수;전재훈;정순철
    • 감성과학
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    • 제13권4호
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    • pp.703-710
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    • 2010
  • 본 연구에서는 선행 연구에서 개발된 촉각 자극 시스템의 시스템적인 문제, 자극 제어에 관한 문제, 기타 부가적인 문제들을 보완할 수 있는 촉각 자극기를 개발하였다. 개발된 장치는 제어부(control unit), 구동부(drive unit), 진동부(vibrator)의 세부분으로 구성된다. 제어부는 E-Prime 소프트웨어로부터 명령을 전송받고 진동 자극 신호를 발생한다. 구동부는 촉각 자극기가 효과적으로 진동 자극을 발생할 수 있도록 충분한 전류를 공급한다. 진동부는 작은 동전(coin) 형 진동기(vibrator)와 벨크로(velcro)로 구성되며 피험자의 손에 쉽게 고정 할 수 있도록 제작하였다. 개발된 장치는 소형, 경량, 저전력 구동, 간단한 구조, 최대 35개의 자극 채널, 시각 및 청각과의 다양한 자극 조합을 지연시간 없이 제시할 수 있도록 설계 되어 시스템적인 문제들을 보완하였다. 자극의 크기와 시간을 10단계로 조절할 수 있도록 하고, 넓은 동작주파수 범위를 확보하여 자극 제어에 관한 문제들을 보완하였다. 저전압 구동으로 인체에 대한 안정성을 확보하고, 손가락 이외에 신체의 어느 부분이든 자극 제시가 가능하도록 제작하였다. 특히 본 시스템은 인지과학 연구에서 범용으로 사용되는 소프트웨어인 E-Prime을 기반으로 개발되었기 때문에 활용성이 매우 높을 것으로 판단된다.

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주중구법파(注重灸法派)에 관(關)한 역사적(歷史的) 고찰(考察)("불론허실한열(不論虛實寒熱) 무소불의(無所不宜)" 구법파(灸法派)를 중심(中心)으로) (An historic study on the school that attached importance to moxibustion)

  • 임한제;윤종화
    • Journal of Acupuncture Research
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    • 제17권2호
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    • pp.53-68
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    • 2000
  • As compared with acupuncture, The moxibustion occurred differently in the background of formation and also disagreed in the process of development. From the Jin(晉) dynasty to the Song(宋) dynasty, The school that attached importance to moxibustion had occupied superority by far and had schemed the development of moxibustion. But after the Song(宋) dynasty, The school that attached importance to acupuncture rose. Therefore, The school that attached importance to moxibustion, even if the power decreased, still had kept in existence and had achieved the development of moxibustion. Especially, Among the chinese physicians that recognized "Moxibustion can cure all disease, so don't discuss the weakness the firmness the chills the fever and cauterize the skin" till the Song(宋) dynasty, Ge Hong(葛洪) put in order the basic theory for moxibustion in (A handbook of prescriptions for emergencies). Wang Tao(王燾) only respected the moxibustion and said "Moxibustion has a strange effect, then all acupuncture herb-med(medical decoction) herb-ex are unattainable to it" in volume 14 (Medical secrets of an official). Dou Cai(實材) insisted that moxibustion is prime for supporting the Yang(陽) and always must be cauterized with moxa on Guan Yuan(關元) Qi Hai(氣海) Ming Guan(命關), Zhons Wan(中脘) etc. for supporting the Yang of Pi Shen(脾腎) in

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