• 제목/요약/키워드: stable ring

검색결과 218건 처리시간 0.021초

CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS

  • Sharifan, Leila
    • 대한수학회보
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    • 제56권4호
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    • pp.1077-1097
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    • 2019
  • Let M be a finitely generated module over a regular local ring (R, n). We will fix an n-stable filtration for M and show that the minimal free resolution of M can be obtained from any filtered free resolution of M by zero and negative consecutive cancellations. This result is analogous to [10, Theorem 3.1] in the more general context of filtered free resolutions. Taking advantage of this generality, we will study resolutions obtained by the mapping cone technique and find a sufficient condition for the minimality of such resolutions. Next, we give another application in the graded setting. We show that for a monomial order ${\sigma}$, Betti numbers of I are obtained from those of $LT_{\sigma}(I)$ by so-called zero ${\sigma}$-consecutive cancellations. This provides a stronger version of the well-known cancellation "cancellation principle" between the resolution of a graded ideal and that of its leading term ideal, in terms of filtrations defined by monomial orders.

Conformation of Antifungal Agent Fluconazole

  • Han, Seong Jun;Kang Kee Long;Lee Sung Hee;Chung Uoo Tae;Kang Young Kee
    • Bulletin of the Korean Chemical Society
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    • 제14권2호
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    • pp.262-265
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    • 1993
  • Conformational free energy calculations using an empirical potential function and a hydration shell model (program CONBIO) were carried out on antifungal agent fluconazole in the unhydrated and hydrated states. The initial geometry of fluconazole was obtained from two minimized fragments of it using a molecular mechanics MMPMI and followed by minimizing with a semiempirical AM1 method. In both states, the feasible conformations were obtained from the calculations of conformational energy, conformational entropy, and hydration free energy by varying all the torsion angles of the molecule. The intramolecular hydrogen bonds of isopropyl hydroxyl hydrogen and triazole nitrogens and the structural flexibility are of significant importance in stabilizing the conformations of fluconazole in both states. Hydration is proved to be one of the essential factors in stabilizing the overall conformation in aqueous solution. Two F atoms of phenyl ring are not identified as an essential key in determining the stable conformations and may be responsible for the interaction with the receptor of fluconazole.

Synthesis and Properties of Organosilicon Polymers Containing 3,4-Benzo-1-silacyclopentene Derivatives

  • 박영태;박상욱;김호창;이광
    • Bulletin of the Korean Chemical Society
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    • 제19권3호
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    • pp.328-332
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    • 1998
  • Anionic ring-opening polymerization of 3,4-[(dimethylsilyl)isopropyl]benzo-1,1-dimethyl-1-silacyclopentene in the presence of n-butyllithium and HMPA in THF at - 78 ℃ afforded poly[3,4-(dimethylsilylisopropyl)benzo-1,1-dimethyl-1-silapentene]. The characteristic Si-H stretching frequency in the IR is observed at 2100 cm-1. The polycarbosilane has been modified by chloroplatinic acid catalyzed addition of styrene to the polycarbosilane SiH units. Molecular weights and thermal properties of the polymers were compared. The sol-gel polymerization of 3,4-[(dimethoxysilyl)isopropyl]benzo-1,1-dimethoxy-1-silacyclopentene in the presence of aqueous HCl or NaOH in THF resulted in a cross-linked polysiloxane. The xerogel has a low surface area of 13-14 m2/g and is stable up to about 400 ℃ with only 5% weight loss under a nitrogen atmosphere.

RINGS AND MODULES WHICH ARE STABLE UNDER NILPOTENTS OF THEIR INJECTIVE HULLS

  • Nguyen Thi Thu Ha
    • 대한수학회보
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    • 제60권2호
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    • pp.339-348
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    • 2023
  • It is shown that every nilpotent-invariant module can be decomposed into a direct sum of a quasi-injective module and a square-free module that are relatively injective and orthogonal. This paper is also concerned with rings satisfying every cyclic right R-module is nilpotent-invariant. We prove that R ≅ R1 × R2, where R1, R2 are rings which satisfy R1 is a semi-simple Artinian ring and R2 is square-free as a right R2-module and all idempotents of R2 is central. The paper concludes with a structure theorem for cyclic nilpotent-invariant right R-modules. Such a module is shown to have isomorphic simple modules eR and fR, where e, f are orthogonal primitive idempotents such that eRf ≠ 0.

S-VERSIONS AND S-GENERALIZATIONS OF IDEMPOTENTS, PURE IDEALS AND STONE TYPE THEOREMS

  • Bayram Ali Ersoy;Unsal Tekir;Eda Yildiz
    • 대한수학회보
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    • 제61권1호
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    • pp.83-92
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    • 2024
  • Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we first introduce the concept of S-idempotent element of R. Then we give a relation between S-idempotents of R and clopen sets of S-Zariski topology. After that we define S-pure ideal which is a generalization of the notion of pure ideal. In fact, every pure ideal is S-pure but the converse may not be true. Afterwards, we show that there is a relation between S-pure ideals of R and closed sets of S-Zariski topology that are stable under generalization.

고전압 전력반도체 소자 개발을 위한 단위공정에서 식각공정과 이온주입공정의 영향 분석 (Analysis of the Effect of the Etching Process and Ion Injection Process in the Unit Process for the Development of High Voltage Power Semiconductor Devices)

  • 최규철;김경범;김봉환;김종민;장상목
    • 청정기술
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    • 제29권4호
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    • pp.255-261
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    • 2023
  • 파워반도체는 전력의 변환, 변압, 분배 및 전력제어 등을 감당하는데 사용되는 반도체이다. 최근 세계적으로 고전압 파워반도체의 수요는 다양한 산업분야에 걸쳐 증가하고 있는 추세이며 해당 산업에서는 고전압 IGBT 부품의 최적화 연구가 절실한 상황이다. 고전압 IGBT개발을 위해서 wafer의 저항값 설정과 주요 단위공정의 최적화가 완성칩의 전기적특성에 큰 변수가 되며 높은 항복전압(breakdown voltage) 지지를 위한 공정 및 최적화 기술 확보가 중요하다. 식각공정은 포토리소그래피공정에서 마스크회로의 패턴을 wafer에 옮기고, 감광막의 하부에 있는 불필요한부분을 제거하는 공정이고, 이온주입공정은 반도체의 제조공정 중 열확산기술과 더불어 웨이퍼 기판내부로 불순물을 주입하여 일정한 전도성을 갖게 하는 과정이다. 본 연구에서는 IGBT의 3.3 kV 항복전압을 지지하는 ring 구조형성의 중요한 공정인 field ring 식각실험에서 건식식각과 습식식각을 조절해 4가지 조건으로 나누어 분석하고 항복전압확보를 위한 안정적인 바디junction 깊이형성을 최적화하기 위하여 TEG 설계를 기초로 field ring 이온주입공정을 4가지 조건으로 나누어 분석한 결과 식각공정에서 습식 식각 1스텝 방식이 공정 및 작업 효율성 측면에서 유리하며 링패턴 이온주입조건은 도핑농도 9.0E13과 에너지 120 keV로, p-이온주입 조건은 도핑농도 6.5E13과 에너지 80 keV로, p+ 이온주입 조건은 도핑농도 3.0E15와 에너지 160 keV로 최적화할 수 있었다.

Poly(ethylene 2,6-naphthalate) 필름의 연신에 따른 동적 점탄성 거동 해석 (Analysis of Dynamic Viscoelasticity Behavior on Drawing of Poly(ethylene 2,6-naphthalate) Film)

  • 강영아;김경효;조현혹
    • 한국염색가공학회지
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    • 제11권5호
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    • pp.44-54
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    • 1999
  • Poly(ethylene 2,6-naphthalate), PEN, is a relatively well-known polymer used for engineering purposes. Naphthalene ring provides rigidity to the polymer backbone, thus, it elevated the glass transition temperature and enhanced mechanical properties. The structure and properties of PEN affect a processing conditions severely, and the high-thermal stability have been had a poor thermal processibility. Hence, the basic mechanism of solvent drawing, is very much the same as that of thermal drawing from glassy state since both involve the inducement of segmental mobility. The former achieves the goal by use of chemical energy, and the latter does so by use of thermal energy. Generally, the sorption of the solvent by the polymer has a plasticizing effect, and leads to a lowering of the glass transition temperature, $T_g$. In this paper, the dynamic viscoelasticity behavior in liquid-drawing process of an unoriented amorphous PEN films were investigated using Rheovibron. The results are as follows : (1) For the drawing in silicone oil, the drawing below $T_g$. had $\alpha{2}$-dispersion due to an inhomogeneous taut structure. (2) For the drawing in water, the inhomogeneous taut structure reduced by the effect of plasticization even below $T_g$. (3) For the drawing in butanol, the only aliphatic segment in PEN have some molecular mobility but the mobility of the aromatic segment having naphthalene ring is nearly impossible. (4) For the drawing in dioxane/water mixing solvent, the solvent effect is complementary each other and accordingly the entire molecular conformation have stable state. (5) For the drawing in dioxane/butanol mixing solvent, the inhomogeneity of the taut structure and the aromatic segment increase with increasing the temperature and this tendencies correspond with that of the draw ratio.

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Structure-Antagonistic Activity Relationships of an NK-2 Tachykinin Receptor Antagonist, L-659,877 and Its Analogues

  • Ha, Jong-Myung;Shin, Song-Yub;Hong, Hea-Nam;Suh, Duk-Joon;Jang, Tae-Sik;Kang, Shin-Won;Kuean, Sun-Jin;Ha, Bae-Jin
    • BMB Reports
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    • 제29권5호
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    • pp.429-435
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    • 1996
  • To investigate the structure-antagonistic relationship of the cyclohexapeptide L-659,877, a selective NK-2 tachykinin receptor antagonist, seven analogues were chemically synthesized by a solid phase method. The agonistic and antagonistic activities of the analogues were evaluated by contraction assay using the smooth muscle of guinea pig trachea (GPT) containing the NK-2 receptor. It was shown that the aromatic ring of Phe at position 3 and the sulfur group of Met at position 6 in L-659,877 were essential for binding to the NK-2 receptor. Decrease in antagonistic activity of L-659,877 caused by substituting Leu for Nle at position 5 indicates that the ${\gamma}$ methyl group and side chain length of Leu plays an important role in its antagonistic action. Although the activity was slightly lower than L-659,877, cyclo $[{\beta}Ala^{8}]NKA(4-10)$ (analogue 1) showed potential antagonistic activity for the NK-2 receptor. It was confirmed that the expansion of the ring in L-659,877 by substitution of ${\beta}Ala$ for Gly at position 4 stabilized its conformation monitored by CD spectra. The results suggest that analogue 1 can be used as a new leader compound to design a more powerful, selective, and stable NK-2 receptor antagonist.

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프리캐스트 콘크리트 벽체 수직접합부의 광폭형 연결방식 개발 (Development of Wide Connection Method for Vertical Joints of Precast Concrete Walls)

  • 최은규;신영수
    • 콘크리트학회논문집
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    • 제21권5호
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    • pp.549-556
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    • 2009
  • 이 연구에서는 프리캐스트 콘크리트 구조시스템에서 기존에 사용되고 있는 벽체의 수직접합부의 시공 및 문제점을 최소화하기 위해 접합부의 폭을 100 mm에서 150 mm로 증가시키고 연결방식을 3가지로 하여 구조적 성능 및 적용성에 대해 분석하였다. 또한, 해석적으로 구조적 성능을 파악하기 위해 비선형 유한 요소 해석법으로 분석하였다. 분석 결과, 광폭형 연결부를 가진 접합부를 적용하였을 때, PC벽체에 가해지는 하중을 더 효율적으로 철근이 분담하여 내력이 증가하고 연성적인 거동을 하는 것으로 나타났다. 또한, 접합부 루프근의 단면적이 커질수록 그리고 철근 개수가 증가할수록 최대내력이 증가하며 광폭형 접합부 형식 중에 용접형-링형-C형의 순서로 내력이 큰 것으로 나타났다. 용접형의 경우 현장조건에 따른 변화가 발생할 수 있으므로 광폭형 연결 부위를 링형 접합부로 하는 것이 안정적인 거동을 하며 현장 용접의 철저한 품질관리가 필요하다.

Simultaneous Surgery on Jejunum perforation with Pelvic Ring Fracture: A Case Report

  • Chung, HoeJeong;Bae, Keum-Seok;Kim, Seong-yup;Kim, Doosup
    • Journal of Trauma and Injury
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    • 제29권2호
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    • pp.56-59
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    • 2016
  • Patients with pelvic bone fractures with gastrointestinal perforations are reported in 4.4% of the cases and in very rare cases jejunum (0.15) is involved. However, intestinal perforations are often undiagnosed on the first examination before peritonitis is evident. We are presenting a report where a patient with anteroposterior compression injury, who was expected to undergo an internal fixation procedure, did not show any jejunum perforations on abdominal CT or other physical exams but was found on abdominal CT 1 week after right before surgery, therefore excision and anastomosis surgery, pelvic open reduction and internal fixation was simultaneously done with favorable results. In our case, we present a 61 year old male patient with liver trauma, adhesion at the abdominal cavity, with a past history of gallbladder excision, but without abdominal pain, fever, or infection symptoms. Therefore, this was a case that was difficult to initially diagnose the patient with jejunum perforation and peritonitis. The diagnosis was further supported during laparotomy when peritonitis around the area of intestinal perforation was observed. Generally, it is understood that pelvic bone fracture surgery is not immediately done on patients with peritonitis. However, this kind of patient who had peritonitis with intestinal adhesion and other complications could undergo surgery immediately as infection or other related symptoms did not coexist and the patient was rather stable, and as a result the treatment was successful.