• 제목/요약/키워드: regular module

검색결과 103건 처리시간 0.029초

WHEN IS AN ENDOMORPHISM RING P-COHERENT?

  • Mao, Lixin
    • 대한수학회지
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    • 제46권1호
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    • pp.99-111
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    • 2009
  • A ring is called left P-coherent if every principal left ideal is finitely presented. Let M be a right R-module with the endomorphism ring S. We mainly study the P-coherence of S. It is shown that S is a left P-coherent ring if and only if the left annihilator $ann_S$(X) is a finitely generated left ideal of S for any M-cyclic submodule X of M if and only if every cyclically M-presented right R-module has an M-torsionfree preenvelope. As applications, we investigate when the endomorphism ring S is left PP or von Neumann regular.

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.

전류모드 CMOS를 이용한 GF(P$^{m}$ )상의 셀 배열 승산기 (Cell array multiplier in GF(p$^{m}$ ) using Current mode CMOS)

  • 최재석
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.102-109
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    • 2001
  • 본 논문에서는 GF($P^{m}$ )상에서의 새로운 승산 알고리듬과 승산기 구성법을 나타내었다. 유한체 상에서의 두 원소에 대한 승산공식을 유도하였고 유도된 수식에 의해 승산기를 구성하였다. 적용예로 GF(3) 승산 모듈과 덧셈 모듈을 전류 모드 CMOS 기법을 적용하여 구현하였다. 이러한 모듈을 기본 모듈로 사용하여 GF(3$^{m}$ )승산기를 설계하였고 SPICE를 통하여 검증하였다. 제시된 승산기는 규칙적인 셀 구조를 사용하였고 단순히 규칙적인 내부 결선으로 구성된다. 따라서, 유한체 상에서 차수가 m 차로 증가하는 승산에 대해서도 간단히 확장이 가능하다.

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환경 모니터링을 위한 무인 호버크래프트 시스템 개발 (Development of unmanned hovercraft system for environmental monitoring)

  • 유성구;임진택
    • 문화기술의 융합
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    • 제10권2호
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    • pp.525-530
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    • 2024
  • 환경정보를 실시간으로 획득하여 정보를 제공하는 환경 모니터링 시스템 필요성이 확대되고 있다. 특히 공공수역 수질관리의 경우 법적으로 수동측정과 자동측정을 통해 상시 관리를 진행해야 하며, 대기오염도 탄소중립 실현과 연관하여 미세먼지, 배기가스 저감을 위한 상시 측정 및 관리가 필요한 실정이다. 본 연구에서는 수질오염 및 대기오염 정보를 실시간으로 측정하여 모니터링을 할 수 있는 시스템을 구현하였다. 측정을 위한 도구로 육상과 수상을 동시에 이동 가능한 호버크래프트를 활용하였다. 호버크래프트 본체에 수질측정 및 대기오염측정 센서를 장착하고 그 정보를 실시간으로 모니터링 시스템으로 전송할 수 있는 통신 모듈을 장착하였다. 환경측정용 호버크래프트의 구조를 설계하였으며, 실시간 정보전달 통신 모듈로는 저전력 장거리 통신이 가능한 LoRa 모듈을 적용하였다. 실제 하드웨어 구현을 통해 제안한 시스템의 동작 성능을 확인하였다.

간호사의 '영적간호모듈' 간호교육프로그램의 적용 효과 (Effect of The Spiritual Care Module Education Program for Nurses)

  • 정진옥;조현숙;김상희
    • 한국간호교육학회지
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    • 제22권1호
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    • pp.51-62
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    • 2016
  • Purpose: This study was to verify the effects of spiritual care module education programs by applying it to nurses. Method: The study employed a non-equivalent control group pretest-posttest design in a quasi-experimental basis. Subjects were 93 nurses (46 in an experimental group and 47 in a control group) with more than two years clinic experience, attending a bachelor program of K University, in I city, Korea. The program consists of courses with 2.5 hours per week for seven weeks. Result: Scores of spiritual needs and spiritual nursing competence increased significantly in the experimental group. The score of spirituality and spiritual well-being also increased in the experimental group, but not significantly. Conclusion: The spiritual care module education program was considered to be an effective nursing intervention education course. Nurses educated with this program seemed to perform better nursing interventions for subjects facing difficulties or confusion by helping them restore and cope with those problems by themselves. Therefore, it is recommended that spiritual care module education should be settled as a regular course of nursing college with consideration to the corrections and supplements mentioned in this study.

비축대칭 제품의 냉간단조 공정설계시스템에 관한 연구 (A Study on the Automated Process Planning System for Cold Forging of Non-axisymmetric Parts)

  • 이봉규;조해용;권혁홍
    • 한국정밀공학회지
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    • 제19권2호
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    • pp.195-202
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    • 2002
  • An automated process planning system for cold forging of non-axisymmetric parts of comparatively simple shape was developed in this study. Programs for the system have been written with Visual LISP in the AutoCAD using a personal computer and are composed of four main modules such as input module, shape cognition and shape expression module, material diameter determination module and process planning module. The design rules and knowledges for the system are extracted from the plasticity theories, handbook, relevant reference and empirical knowledge of field experts. Generally, in forging, only front view is needed for expression of axisymmetric parts, but non-axisymmetric parts need front and plane view. At the plane, this system cognizes the external shape of non-axisymmetric, parts - number of sides of regular polygon and radius of a circle circumscribing the polygon of n sides. At the front view, the system perceives diameter of axisymmetric portions and height of primitive geometries such as polygon, cylinder, cone, concave, convex, etc.

INJECTIVE PROPERTY RELATIVE TO NONSINGULAR EXACT SEQUENCES

  • Arabi-Kakavand, Marzieh;Asgari, Shadi;Tolooei, Yaser
    • 대한수학회보
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    • 제54권2호
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    • pp.559-571
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    • 2017
  • We investigate modules M having the injective property relative to nonsingular modules. Such modules are called "$\mathcal{N}$-injective modules". It is shown that M is an $\mathcal{N}$-injective R-module if and only if the annihilator of $Z_2(R_R)$ in M is equal to the annihilator of $Z_2(R_R)$ in E(M). Every $\mathcal{N}$-injective R-module is injective precisely when R is a right nonsingular ring. We prove that the endomorphism ring of an $\mathcal{N}$-injective module has a von Neumann regular factor ring. Every (finitely generated, cyclic, free) R-module is $\mathcal{N}$-injective, if and only if $R^{(\mathbb{N})}$ is $\mathcal{N}$-injective, if and only if R is right t-semisimple. The $\mathcal{N}$-injective property is characterized for right extending rings, semilocal rings and rings of finite reduced rank. Using the $\mathcal{N}$-injective property, we determine the rings whose all nonsingular cyclic modules are injective.

인체 감지 센서 모듈 및 관리 시스템의 개선 방안 (Improvement Method for Human Body Sensing Module and Managing System)

  • 안태원
    • 전자공학회논문지
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    • 제51권10호
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    • pp.223-227
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    • 2014
  • 본 논문은 인체 감지 센서 모듈 및 그에 의한 관리 시스템의 구현 및 개선 방안에 관한 것으로, 구체적으로는 초음파 센서에 의하여 화장실 변기의 사용 여부를 탐지하는 인체 감지 센서 모듈과 각각의 화장실에 설치된 인체 감지 센서 모듈을 이용하여 건물 전체의 화장실의 상태를 제어할 수 있도록 하는 관리 시스템에 관한 것이다. 제안된 인체 감지 센서 모듈은 인체의 이동 여부를 탐지하는 탐지 센서, 변기로부터 일정 거리에 위치하는 인체를 탐지하는 것에 의하여 변기의 사용 여부를 감지하는 접촉 센서로 구성되고, 관리 시스템은 탐지 센서와 접촉 센서로부터 전송된 신호를 처리하는 제어 유닛, 탐지 센서와 접촉 센서로부터 전달된 신호의 처리에 따라 개폐가 제어되는 전자 개폐 밸브 및 작동 상태에 대한 정보를 저장하고 일정 주기로 전송하는 근거리 무선 통신 유닛을 포함한다.

영국 브라이튼대학교 물리치료학과의 직무중심 교육과정 적용 사례 연구 (Case Study for Application of Job Centered Curriculum in Department of Physiotherapy: Brighton University in England)

  • 송주영
    • 대한물리의학회지
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    • 제13권2호
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    • pp.97-107
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    • 2018
  • PURPOSE: This study investigated the job-centered curriculum in the Department of Physiotherapy at the University of Brighton, England, to examine NCS (national competency standards) curriculum in physiotherapy. METHODS: The researcher visited the University of Brighton from September 2015 to May 2016 and conducted interviews with faculty members. Data were collected through the university's website and the Chartered Society of Physiotherapy. RESULTS: The undergraduate program is a three-year program and with a module system. There is a course leader for each module. Each grade requires 120 credits (10 hours per credit) and credit hours can be earned through lectures, tutorials, practical sessions, self-directed e-learning, group work, inter-professional classes, and seminars. Clinical placement is carried out six times during 3 years, for a total of 32 weeks, 35 hours per week, 1120 hours in total. Students are enrolled as a student members of the Chartered Society of Physiotherapy and are covered by professional liability insurance during clinical placement. The Center for Teaching and Learning holds regular workshops to discuss curriculum and module design, conduct course reviews, and review student assessment and feedback. All courses at the university must be approved, monitored annually, and re-approved every 5 years. CONCLUSION: This study can contribute to the development and operation of the NCS physiotherapy curriculum, as well as to the development of modules and assessment tools related to the application of this curriculum.

ON INJECTIVITY AND P-INJECTIVITY, IV

  • Chi Ming, Roger Yue
    • 대한수학회보
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    • 제40권2호
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    • pp.223-234
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    • 2003
  • This note contains the following results for a ring A : (1) A is simple Artinian if and only if A is a prime right YJ-injective, right and left V-ring with a maximal right annihilator ; (2) if A is a left quasi-duo ring with Jacobson radical J such that $_{A}$A/J is p-injective, then the ring A/J is strongly regular ; (3) A is von Neumann regular with non-zero socle if and only if A is a left p.p.ring containing a finitely generated p-injective maximal left ideal satisfying the following condition : if e is an idempotent in A, then eA is a minimal right ideal if and only if Ae is a minimal left ideal ; (4) If A is left non-singular, left YJ-injective such that each maximal left ideal of A is either injective or a two-sided ideal of A, then A is either left self-injective regular or strongly regular : (5) A is left continuous regular if and only if A is right p-injective such that for every cyclic left A-module M, $_{A}$M/Z(M) is projective. ((5) remains valid if 《continuous》 is replaced by 《self-injective》 and 《cyclic》 is replaced by 《finitely generated》. Finally, we have the following two equivalent properties for A to be von Neumann regula. : (a) A is left non-singular such that every finitely generated left ideal is the left annihilator of an element of A and every principal right ideal of A is the right annihilator of an element of A ; (b) Change 《left non-singular》 into 《right non-singular》in (a).(a).