• Title/Summary/Keyword: regular module

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RESOLUTIONS AND DIMENSIONS OF RELATIVE INJECTIVE MODULES AND RELATIVE FLAT MODULES

  • Zeng, Yuedi;Chen, Jianlong
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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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
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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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
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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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
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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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.

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

  • 김영호;송정호
    • Journal of the Korean Society of Tobacco Science
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    • v.23 no.1
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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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Development on the Automated Process System for Cold Forging of Non-axisymmetric Parts (비축대칭 제품의 냉간단조 공정설계 시스템 개발)

  • 이봉규;조해용;권혁홍
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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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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    • v.17 no.1
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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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    • v.51 no.1
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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.

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

  • LEE, Geun-Sang;LEE, Jong-Jo
    • Journal of the Korean Association of Geographic Information Studies
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    • v.19 no.4
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    • pp.106-117
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    • 2016
  • Recently, solar power plants have spread widely as part of the transition to greater environmental protection and renewable energy. Therefore, regular solar plant inspection is necessary to efficiently manage solar-light modules. This study implemented a test that can detect solar-light module faults using an UAV based thermal infrared camera and GIS spatial analysis. First, images were taken using fixed UAV and an RGB camera, then orthomosaic images were created using Pix4D SW. We constructed solar-light module layers from the orthomosaic images and inputted the module layer code. Rubber covers were installed in the solar-light module to detect solar-light module faults. The mean temperature of each solar-light module can be calculated using the Zonalmean function based on temperature information from the UAV thermal camera and solar-light module layer. Finally, locations of solar-light modules of more than $37^{\circ}C$ and those with rubber covers can be extracted automatically using GIS spatial analysis and analyzed specifically using the solar-light module's identifying code.