• 제목/요약/키워드: regular module

검색결과 105건 처리시간 0.019초

RESOLUTIONS AND DIMENSIONS OF RELATIVE INJECTIVE MODULES AND RELATIVE FLAT MODULES

  • Zeng, Yuedi;Chen, Jianlong
    • 대한수학회보
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    • 제50권1호
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    • pp.11-24
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    • 2013
  • Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be ($m$, $n$)-injective if $Ext^1$(P, M) = 0 for any ($m$, $n$)-presented right R-module P; M is said to be ($m$, $n$)-flat if $Tor_1$(N, P) = 0 for any ($m$, $n$)-presented left R-module P. In terms of some derived functors, relative injective or relative flat resolutions and dimensions are investigated. As applications, some new characterizations of von Neumann regular rings and p.p. rings are given.

w-INJECTIVE MODULES AND w-SEMI-HEREDITARY RINGS

  • Wang, Fanggui;Kim, Hwankoo
    • 대한수학회지
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    • 제51권3호
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    • pp.509-525
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    • 2014
  • Let R be a commutative ring with identity. An R-module M is said to be w-projective if $Ext\frac{1}{R}$(M,N) is GV-torsion for any torsion-free w-module N. In this paper, we define a ring R to be w-semi-hereditary if every finite type ideal of R is w-projective. To characterize w-semi-hereditary rings, we introduce the concept of w-injective modules and study some basic properties of w-injective modules. Using these concepts, we show that R is w-semi-hereditary if and only if the total quotient ring T(R) of R is a von Neumann regular ring and $R_m$ is a valuation domain for any maximal w-ideal m of R. It is also shown that a connected ring R is w-semi-hereditary if and only if R is a Pr$\ddot{u}$fer v-multiplication domain.

ON THE CHARACTERISTIC RING-MODULES

  • Park, Chin-Hong
    • 대한수학회보
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    • 제32권2호
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    • pp.145-152
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    • 1995
  • From now on, we assume that a ring R has an identity 1. We have the following Lemma from Park[2].

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ON UNIFORMLY S-ABSOLUTELY PURE MODULES

  • Xiaolei Zhang
    • 대한수학회지
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    • 제60권3호
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    • pp.521-536
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    • 2023
  • Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we introduce and study the notions of u-S-pure u-S-exact sequences and uniformly S-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then we characterize uniformly S-von Neumann regular rings and uniformly S-Noetherian rings using uniformly S-absolutely pure modules.

담배 제조 공정의 통계적 관리시스템 개발 (Development of Statistical Process Control System for Tobacco Manufacturing Process)

  • 김영호;송정호
    • 한국연초학회지
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    • 제23권1호
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    • pp.53-59
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    • 2001
  • To decrease of deviations from target specifications and excessive variability around targe, we exclusively designed statistical process control system involving general manager and expert tool for cigarette manufacturing process. This system is a unique programming environment for the development of total process control software including various control charts according to data type and process capability analysis. Also this system includes the statistical analysis module to analyze defective causes immediately when inferior products are made and the module to offer regular reports. This system is customized considering the manufacture environment based on the opinions of workers.

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비축대칭 제품의 냉간단조 공정설계 시스템 개발 (Development on the Automated Process System for Cold Forging of Non-axisymmetric Parts)

  • 이봉규;조해용;권혁홍
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.527-530
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    • 1997
  • 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 th 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 are needed both front view and plane. 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 hight of primitive geometries such as polygon, cylinder, cone, concave, convex, etc.

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Suitability of a Group Behavioural Therapy Module for Workplace Smoking Cessation Programs in Malaysia: a Pilot Study

  • Maarof, Muhammad Faizal;Ali, Adliah Mhd;Amit, Noh;Bakry, Mohd Makmor;Taha, Nur Akmar
    • Asian Pacific Journal of Cancer Prevention
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    • 제17권1호
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    • pp.207-214
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    • 2016
  • In Malaysia, data on components suitability the established smoking cessation module is limited. This exploratory study aimed to evaluate the suitability of the components developed in the module for group behavioural therapy in workplace smoking cessation programs. Twenty staff were identified but only eight individuals were selected according to the study criteria during the recruitment period in May 2014. Focus group discussion was conducted to identify themes relevant to the behavioural issues among smokers. Thematic analysis yielded seven major themes which were reasons for regular smoking, reasons for quitting, comprehending smoking characteristics, quit attempt experiences, support and encouragement, learning new skills and behaviour, and preparing for lapse/relapse or difficult situations. As a result, the developed module was found to be relevant and suitable for use based on these themes.

Weakly np-Injective Rings and Weakly C2 Rings

  • Wei, Junchao;Che, Jianhua
    • Kyungpook Mathematical Journal
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    • 제51권1호
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    • pp.93-108
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    • 2011
  • A ring R is called left weakly np- injective if for each non-nilpotent element a of R, there exists a positive integer n such that any left R- homomorphism from $Ra^n$ to R is right multiplication by an element of R. In this paper various properties of these rings are first developed, many extending known results such as every left or right module over a left weakly np- injective ring is divisible; R is left seft-injective if and only if R is left weakly np-injective and $_RR$ is weakly injective; R is strongly regular if and only if R is abelian left pp and left weakly np- injective. We next introduce the concepts of left weakly pp rings and left weakly C2 rings. In terms of these rings, we give some characterizations of (von Neumann) regular rings such as R is regular if and only if R is n- regular, left weakly pp and left weakly C2. Finally, the relations among left C2 rings, left weakly C2 rings and left GC2 rings are given.

UAV 기반 열적외선 카메라를 이용한 태양광 모듈 고장진단 실험 (Test of Fault Detection to Solar-Light Module Using UAV Based Thermal Infrared Camera)

  • 이근상;이종조
    • 한국지리정보학회지
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    • 제19권4호
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    • pp.106-117
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    • 2016
  • 최근 환경보호와 신재생에너지 확보 일환으로 태양광발전소가 널리 보급되고 있으며, 태양광 모듈의 효율적인 관리를 위해서는 정기적인 점검이 필요하다. 본 연구에서는 UAV 기반 열적외선 카메라와 GIS 공간분석을 통해 태양광 모듈에 대한 고장여부를 진단할 수 있는 실험을 실시하였다. 먼저 고정익 UAV와 RGB 카메라를 이용하여 영상을 촬영한 후 Pix4D SW를 통해 정사영상을 생성하였으며, 정사영상 자료를 이용하여 태양광 모듈 레이어를 구축한 후 코드를 입력하였다. 또한 태양광 모듈 고장여부를 진단하기 위해 고무덮개를 태양광 모듈에 설치하였으며, 열적외선 카메라로부터 얻어진 온도 정보와 태양광 모듈 레이어를 기반으로 Zonalmean 함수를 통해 태양광 모듈별 평균온도를 계산할 수 있었다. 마지막으로 GIS 공간분석을 통해 이상 발열이 확인된 $37^{\circ}C$ 이상의 모듈을 자동으로 추출하고 각 모듈별 고유식별 코드를 식별함으로써 고무 덮개를 설치한 모듈의 위치를 정확하게 분석할 수 있었다.