• 제목/요약/키워드: unit regular ring

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UNIT-REGULARITY AND STABLE RANGE ONE

  • Chen, Huanyin
    • 대한수학회보
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    • 제47권3호
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    • pp.653-661
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    • 2010
  • Let R be a ring, and let $\Psi$(R) be the ideal generated by the set {x $\in$R | 1 + sxt $\in$ R is unit-regular for all s, t $\in$ R}. We show that $\Psi$(R) has "radical-like" property. It is proven that $\Psi$(R) has stable range one. Thus, diagonal reduction of matrices over such ideal is reduced.

ON 𝜙-PSEUDO-KRULL RINGS

  • El Khalfi, Abdelhaq;Kim, Hwankoo;Mahdou, Najib
    • 대한수학회논문집
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    • 제35권4호
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    • pp.1095-1106
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    • 2020
  • The purpose of this paper is to introduce a new class of rings that is closely related to the class of pseudo-Krull domains. Let 𝓗 = {R | R is a commutative ring and Nil(R) is a divided prime ideal of R}. Let R ∈ 𝓗 be a ring with total quotient ring T(R) and define 𝜙 : T(R) → RNil(R) by ${\phi}({\frac{a}{b}})={\frac{a}{b}}$ for any a ∈ R and any regular element b of R. Then 𝜙 is a ring homomorphism from T(R) into RNil(R) and 𝜙 restricted to R is also a ring homomorphism from R into RNil(R) given by ${\phi}(x)={\frac{x}{1}}$ for every x ∈ R. We say that R is a 𝜙-pseudo-Krull ring if 𝜙(R) = ∩ Ri, where each Ri is a nonnil-Noetherian 𝜙-pseudo valuation overring of 𝜙(R) and for every non-nilpotent element x ∈ R, 𝜙(x) is a unit in all but finitely many Ri. We show that the theories of 𝜙-pseudo Krull rings resemble those of pseudo-Krull domains.

격자형 충진물을 이용한 충진탑내 기액상의 역류에 의한 물질전달과 수력학적 동특성 (Mass Transfer and Hydraulic Kinematic Character Using Lattices Packings by Countercurrent Flow of Gas-Liquid Phase in Packing Column)

  • 김장호;하상안
    • 한국해양공학회지
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    • 제2권2호
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    • pp.130-137
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    • 1988
  • This thesis introduced that character of a treatment technique for a mading synthetic resin Hifiow-Ring. The material system of packings make an experiment air$NH_{3}$/air$H_{2}SO_{4}$, $SO_{2}$-air/NaOH, $NH_{3}$-air/$/H_{2}SO_{4}$ under general conditions. Lattices packing compared with conventional packings was proved low pressure loss and high separation efficiency for high loading per trans unit. And an inflow materal tested for absorption and rectification, it made an experiment under a range regular temperature, low energy and small amount of money. That made possible in simple equation, volume material tranfer coefficient$\beta_{L}$ . a by absorption or $\beta_{V}$ .a calculated in all range loading. The peculiarity pressure loss $\Delta\;P/NUT_{ov}$ for Hiflow-ring contributed to a fall cost of energy, a grade number of a vacuum rectification and absorption calculation.

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프리믹스 시멘트를 사용한 모르터의 기초적 특성 분석 (Analysis on Basic Characteristics of Mortar with Pre-Mix Cement)

  • 김성일;장기현;이충섭;한동엽;김기훈;한천구
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2008년도 춘계 학술논문 발표대회
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    • pp.93-97
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    • 2008
  • The study analyzed on each kind of basic characteristics in mortar to prove an effect of pre-mix cement, ultra high strength binder. The results were as follows. in characteristics of not set mortar, fluidity time was the quickest at the time of using POBSA and was more delayed at the time of using Fly Ash than at the time of using Blast Furnace Slag as a binder. Mortar ring flow and flow con flow got smaller as fluidity time got longer, on the contrary to fluidity time. Unit capacity mass was smaller at the time of using Fly Ash than at the time of using Blast Furnace Slag. According to pre-mix, it was difficult to discover a regular tendency. In characteristics of hardening mortar, the 28th day compressive strength was better than thing mixed after measuring separately in pre-mix. According to a binder's kind, Silica Fume B, C was better than Silica Fume A.

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자동차 연료호스, 인젝터 및 압력조절기 연결부에서 LP 가스 누출에 의한 화재사례 고찰 (Study for Fire Examples of LPG Leakage Including Fuel hose, Injector and Pressure Regulator Connector in Vehicle)

  • 이일권;국창호;서문원;정동화
    • 한국가스학회지
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    • 제17권3호
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    • pp.8-13
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    • 2013
  • 이 논문의 목적은 LPG 자동차에서 연료누설에 의한 화재관련 사례에 대하여 연구하는 것이다. 첫 번째 사례는, 엔진의 연료 레귤레이터 및 인젝터 사이의 고압호스와 연결되는 연료 라인을 수리한 다음 고정하는 볼트를 규정토크로 조이지 않아 호스가 빠지면서 LP 가스가 누출되어 엔진의 열에 의해 화재가 발생한 것을 확인하였다. 두 번째 사례는, 인젝터를 교환한 다음 흡기매니폴드 유닛의 조립부에 삽입할 때 고정하는 고정부를 점검하지 않고 고정부가 변형되어 휜 상태에서 조립한 결과 연료의 누설을 방지하는 O링이 찢어져 이 사이로 연료가 누출된 것으로 확인되었다. 세 번째 사례는, 연료압력 조절기 유닛에는 연료 차단 솔레노이드 밸브가 연결되어 있는데 수리 후 이 연결 커넥터의 기밀작업을 철저하게 하지 않아서 미세하게 LP 가스가 누설되다가 어느 순간에 많은 양의 가스가 누설되면서 엔진의 열에 의해 화재가 발생된 것을 확인하였다. 따라서, 연료 시스템에 문제가 없는지 철저하게 관리하여 화재의 발생이 최소가 되도록 하여야 한다.