• Title, Summary, Keyword: attached prime

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THE SET OF ATTACHED PRIME IDEALS OF LOCAL COHOMOLOGY

  • RASOULYAR, S.
    • Honam Mathematical Journal
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    • v.23 no.1
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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
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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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.

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

  • 박대성;김형규;최재훈
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.3
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    • pp.412-418
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    • 1999
  • The scattering characteristics of a prime-focus offset-parabolic antenna are analyzed using UTD. First, ray tracing method is used to locate the shadow boundaries, and then UTD is utilized to evalute the far-zone scattered magnetic field pattern. The field components included in the UTD analysis are the reflected, edge diffracted and creeping waves. The effects of circular caps attached to both edges of a prime-focus offset-parabolic antenna are investigated by comparing the scattered magnetic field patterns with those of a knife edge parabolic reflector.

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Asymptotic behavior of ideals relative to injective A-modules

  • Song, Yeong-Moo
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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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
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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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
    • Honam Mathematical Journal
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    • v.38 no.2
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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.

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
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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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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Development of a Finger Tactile Stimulator Based on E-Prime Software (E-Prime에 기반한 손가락 촉각 자극기의 개발)

  • Kim, Hyung-Sik;Min, Yoon-Ki;Kim, Bo-Seong;Min, Byung-Chan;Yang, Jae-Woong;Lee, Su-Jeong;Choi, Mi-Hyun;Yi, Jeong-Han;Tack, Gye-Rae;Lee, Bong-Soo;Jun, Jae-Hoon;Chung, Soon-Cheol
    • Science of Emotion and Sensibility
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    • v.13 no.4
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    • pp.703-710
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    • 2010
  • In this study, a tactile stimulator was developed to resolve some problems from the previous version of the system such as system configuration, inappropriate stimulation control and additional problems. The developed tactile stimulator consists of control unit, drive unit and vibrator unit. The control unit was controlled by E-Prime software to generate appropriate vibration pulses. The drive unit supplies enough energy to the vibrator to generate effective stimulation pulses. The vibrator unit consists of small coin type vibrator and velcro, and was made to be attached at the hand easily. The developed tactile stimulator was designed by small-size, light-weight, low-power, simple-fabrication, max 35 channels and little delay time from instruction signal of E-Prime software to vibrator. The duration and magnitude of stimulation was controlled by 10 grades and the problems concerning stimulation control were compensated by wideband frequency ranges. Additionally, the electrical safety was ensured by low voltage operation. Vibrator was made to be attached on finger as well as on any part of the subject. Since this tactile stimulator is developed based on E-Prime software which is widely used in cognitive science, it is believed that this stimulator be suitable for the wide application of cognitive science study.

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An historic study on the school that attached importance to moxibustion (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))

  • Lim, Han-Je;Yoon, Jong-Hwa
    • Journal of Acupuncture Research
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    • v.17 no.2
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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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