• 제목/요약/키워드: regular domain

검색결과 190건 처리시간 0.024초

CENTRAL SEPARABLE ALGEBRAS OVER REGULAR DOMAIN

  • Choi, Eun-Mi;Lee, Hei-Sook
    • 대한수학회보
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    • 제36권3호
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    • pp.503-512
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    • 1999
  • Over a field k, every schur k-algebra is a cyclotomic algebra due to Brauer-Witt theorem. Similarly every projective Schur k-division algebra is itself a radical algebra by Aljadeff-Sonn theorem. We study the two theorems over a certain commutative ring, and prove similar results over regular domain containing a field.

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ON RIGHT REGULARITY OF COMMUTATORS

  • Jung, Da Woon;Lee, Chang Ik;Lee, Yang;Park, Sangwon;Ryu, Sung Ju;Sung, Hyo Jin
    • 대한수학회보
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    • 제59권4호
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    • pp.853-868
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    • 2022
  • We study the structure of right regular commutators, and call a ring R strongly C-regular if ab - ba ∈ (ab - ba)2R for any a, b ∈ R. We first prove that a noncommutative strongly C-regular domain is a division algebra generated by all commutators; and that a ring (possibly without identity) is strongly C-regular if and only if it is Abelian C-regular (from which we infer that strong C-regularity is left-right symmetric). It is proved that for a strongly C-regular ring R, (i) if R/W(R) is commutative, then R is commutative; and (ii) every prime factor ring of R is either a commutative domain or a noncommutative division ring, where W(R) is the Wedderburn radical of R.

REGULARITY RELATIVE TO A HEREDITARY TORSION THEORY FOR MODULES OVER A COMMUTATIVE RING

  • Qiao, Lei;Zuo, Kai
    • 대한수학회지
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    • 제59권4호
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    • pp.821-841
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    • 2022
  • In this paper, we introduce and study regular rings relative to the hereditary torsion theory w (a special case of a well-centered torsion theory over a commutative ring), called w-regular rings. We focus mainly on the w-regularity for w-coherent rings and w-Noetherian rings. In particular, it is shown that the w-coherent w-regular domains are exactly the Prüfer v-multiplication domains and that an integral domain is w-Noetherian and w-regular if and only if it is a Krull domain. We also prove the w-analogue of the global version of the Serre-Auslander-Buchsbaum Theorem. Among other things, we show that every w-Noetherian w-regular ring is the direct sum of a finite number of Krull domains. Finally, we obtain that the global weak w-projective dimension of a w-Noetherian ring is 0, 1, or ∞.

REGULAR VARIATION AND STABILITY OF RANDOM MEASURES

  • Quang, Nam Bui;Dang, Phuc Ho
    • 대한수학회지
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    • 제54권3호
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    • pp.1049-1061
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    • 2017
  • The paper presents a characterization of stable random measures, giving a canonical form of their Laplace transform. Domain of attraction of stable random measures is concerned in a theorem showing that a random measure belongs to domain of attraction of any stable random measures if and only if it varies regularly at infinity.

FUZZY D-CONTINUOUS FUNCTIONS

  • Akdag, Metin
    • East Asian mathematical journal
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    • 제17권1호
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    • pp.1-17
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    • 2001
  • In this paper, fuzzy D-continuous function is defined. Some basic properties of this continuity are summarized; and sufficient conditions on domain and/or ranges implying fuzzy D-continuity of fuzzy D-continuous functions are given. Also fuzzy D-regular space is defined and by using fuzzy D-continuity, the condition which is equivalent to fuzzy D-regular space, is given.

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파중 진행하는 선박의 3차원 시간영역 운동해석 (3_D Time-Domain Analysis on the Motion of a Ship Advancing in Waves)

  • 홍도천;하태범;김대헌;송강현
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2001년도 추계학술대회 논문집
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    • pp.164-168
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    • 2001
  • The motion of a ship advancing in regular waves is analyzed in the time-domain using the convolution integral of the radiation forces. The memory effect functions and infinite frequency added masses are obtained from the solution of the three dimensional improved Green integral equation in the frequency domain by making use of the Fourier transformation. The ship motions in regular waves have been calculated by both the time and frequency domain methods. It has been shown that they agree very well with each other. The present time-domain method can be used to predict the time histories of unsteady motions in irregular waves. It can also be used to calculate the hydrostatic and Froude-Krylov forces over the instantaneous wetted surface of the ship hull to predict large ship motions, in a practical sense, advancing in large amplitude waves.

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규칙파중 시간영역 스트립이론을 이용한 비선형 유탄성 해석 (Nonlinear Hydroelastic Analysis Using a Time-domain Strip Theory m Regular Waves)

  • 조일형;한성곤;권승민
    • 한국해양공학회지
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    • 제19권4호
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    • pp.1-8
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    • 2005
  • A nonlinear time-domain strip theory for vertical wave loads and ship responses is to be investigated. The hydrodynamic memory effect is approximated by a higher order differential equation without convolution. The ship is modeled as a non-uniform Timoshenko beam. Numerical calculations are presented for the S175 Containership translating with the forward speed in regular waves. The approach described in this paper can be used in evaluating ship motions and wave loads in extreme wave conditions and validating nonlinear phenomena in ship design.

심근 경색증 환자의 죽상경화증 위험요인별 질병관련 지식과 건강행위 이행 (Disease-related Knowledge Level and Compliance of Health Behavior in Patients with Myocardial Infarction According to the Atherosclerotic Risk Factors)

  • 정혜선
    • 성인간호학회지
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    • 제13권4호
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    • pp.529-538
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    • 2001
  • Purpose: This study purposed to examine the disease-related knowledge level and compliance with good health behavior in patients with myocardial infarction according to the atherosclerotic risk factors. Method: The subjects consisted of 72 patients with myocardial infarction and the data were collected by interviewing the subjects with questionnaires and reviewing their medical records from September, 15, 1999 to July 31, 2000. Data were analyzed using the SAS program. Results: 1) With regard to atherosclerotic risk factors: of the subjects, 91.7% lacked regular exercise, followed by smoking (61.1%). 2) The average knowledge score of the patients was 19.7 and the average compliance score was 53.9. 3) There were no significant differences in the total knowledge scores according to the patients' atherosclerotic risk factors. 4) Non-diabetics were significantly higher in knowledge scores on domain of risk factors than the diabetics. 5) The overweight patients were significantly higher in knowledge score on domain of nature of disease than the normalweight patients. 6) The total compliance scores of the non-smokers were significantly higher than those of the smokers. 7) The total compliance scores of the patients who do regular exercise were significantly higher than those of the patients who forgo regular exercise. 8) The non-smokers were significantly higher in compliance scores on domain of diet than the smokers. 9) The diabetic patients were significantly higher in compliance scores on domain of smoking cessation than the non-diabetics. 10) Patients who do regular exercise were significantly higher in compliance scores on other domains than the patients who forgo regular exercise. Conclusion: According to the above findings, it can be concluded that intensive nursing care and education should be provided to patients who have atherosclerotic risk factors such as smoking, hypertension, diabetes mellitus, lack of exercise, over weight, or hypercholesterolemia to increase disease related knowledge level and to improve compliance with good health behavior.

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공공데이터의 도메인 자동 판별 정확도 향상을 위한 정규표현식 및 접미사 적용 방법 (Application Method of Regular Expressions and Suffixes to improve the Accuracy of Automatic Domain Identification of Public Data)

  • 김석균;이관우
    • 한국인터넷방송통신학회논문지
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    • 제22권4호
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    • pp.81-86
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    • 2022
  • 본 연구에서 csv포맷으로 구조화된 파일 데이터의 컬럼의 도메인을 자동 판별하는 방법을 제안한다. 데이터와 데이터 간 융합을 통해 새로운 데이터를 생성할 수 있고, 이들 새로운 데이터가 중요한 자원이 되기 위해서는 조인 되는 컬럼의 일관성이 유지되어야 한다. 데이터 품질을 측정하기 위한 방법 중의 하나가 도메인 기반 품질 진단 방법이다. 도멘인이란 각 컬럼의 성격을 규정하는 가장 광범위한 지표이므로 이를 자동으로 판별하는 방법이 필요하다. 기존의 연구에서는 관계형 데이터베이스의 도메인 자동 판별이 주로 연구 되었지만 본 연구는 파일데이터의 특성을 이용하여 도메인을 자동화 할 수 있는 모델을 개발하였다. 파일데이터의 도메인 판별을 특화하기 위하여 정규표현식을 이용하여 데이터를 단순화 하고 이를 패턴화 하였고, 컬럼명에 해당하는 데이터 헤더의 내용을 분석하여 사용된 접미사를 분석하여 파생변수로 사용하였다. 정규표현식과 접미사의 파생변수를 추가하였을 때 기존 방법인 87%의 정확도 보다 큰 95%의 정확도로 도메인을 자동 판별하는 결과를 도출하였다. 본 연구는 공공데이터 품질진단에 자동화 방법론을 제시하여 품질 측정 기간 및 인원을 줄일 수 있을 것으로 기대된다.