• Title/Summary/Keyword: supplemented modules

Search Result 19, Processing Time 0.02 seconds

Finitely Generated Modules over Semilocal Rings and Characterizations of (Semi-)Perfect Rings

  • Chang, Chae-Hoon
    • Kyungpook Mathematical Journal
    • /
    • v.48 no.1
    • /
    • pp.143-154
    • /
    • 2008
  • Lomp [9] has studied finitely generated projective modules over semilocal rings. He obtained the following: finitely generated projective modules over semilocal rings are semilocal. We shall give necessary and sufficient conditions for finitely generated modules to be semilocal modules. By using a lifting property, we also give characterizations of right perfect (semiperfect) rings. Our main results can be summarized as follows: (1) Let M be a finitely generated module. Then M has finite hollow dimension if and only if M is weakly supplemented if and only if M is semilocal. (2) A ring R is right perfect if and only if every flat right R-module is lifting and every right R-module has a flat cover if and only if every quasi-projective right R-module is lifting. (3) A ring R is semiperfect if and only if every finitely generated flat right R-module is lifting if and only if RR satisfies the lifting property for simple factor modules.

ON COFINITELY CLOSED WEAK δ-SUPPLEMENTED MODULES

  • Sozen, Esra Ozturk
    • Honam Mathematical Journal
    • /
    • v.42 no.3
    • /
    • pp.511-520
    • /
    • 2020
  • A module M is called cofinitely closed weak δ-supplemented (briefly δ-ccws-module) if for any cofinite closed submodule N of M has a weak δ-supplement in M. In this paper we investigate the basic properties of δ-ccws modules. In the light of this study, we can list the main facts obtained as following: (1) Any cofinite closed direct summand of a δ-ccws module is also a δ-ccws module; (2) Let R be a left δ-V -ring. Then R is a δ-ccws module iff R is a ccws-module iff R is extending; (3) Any nonsingular homomorphic image of a δ-ccws-module is also a δ-ccws-module; (4) We characterize nonsingular δ-V -rings in which all nonsingular modules are δ-ccws.

Direct Sums of Strongly Lifting Modules

  • Atani, Shahabaddin Ebrahimi;Khoramdel, Mehdi;Pishhesari, Saboura Dolati
    • Kyungpook Mathematical Journal
    • /
    • v.60 no.4
    • /
    • pp.673-682
    • /
    • 2020
  • For the recently defined notion of strongly lifting modules, it has been shown that a direct sum is not, in general, strongly lifting. In this paper we investigate the question: When are the direct sums of strongly lifting modules, also strongly lifting? We introduce the notion of a relatively strongly projective module and use it to show if M = M1 ⊕ M2 is amply supplemented, then M is strongly lifting if and only if M1 and M2 are relatively strongly projective and strongly lifting. Also, we consider when an arbitrary direct sum of hollow (resp. local) modules is strongly lifting.

Analysis of Power Characteristics of High-Power Shingled Photovoltaic Module with Color Application (고출력 슁글드 태양광 모듈 컬러 적용에 따른 출력 특성 분석)

  • Kim, Juhwi;Lee, Jaehyeong
    • Current Photovoltaic Research
    • /
    • v.10 no.3
    • /
    • pp.73-76
    • /
    • 2022
  • BIPV (Building Integrated Photovoltaic) supplemented the minimum area problem required when installing existing solar modules. However, in order to apply it to buildings, research was needed to increase the aesthetics of solar modules and use them as a design. Accordingly, modules with color applied to the entire surface of the photovoltaic module were being developed, but there was a disadvantage of low power. Therefore, by dividing and bonding the cell strips, it was possible to improve the output power by applying a shingled technology in which other divided cells overlap in a busbar region where light couldn't be received. Shingled technology was advantageous for color modules because the front busbar part that degrades aesthetics was removed. In this research, four color shingled solar modules (Green, Yellow, Blue, Gray) were manufactured and power degradation was analyzed by measuring transmittance and reflectance. Gray color had 80.83% transmittance, which was 31.31% higher than Yellow, resulting in a power difference of 4.45 W.

Java programming lecture design considering NCS-based SW Qualification Design (NCS 기반 SW 신자격 설계를 고려한 자바프로그래밍 강의 설계)

  • You, EungGu
    • Journal of Korea Society of Digital Industry and Information Management
    • /
    • v.15 no.4
    • /
    • pp.131-136
    • /
    • 2019
  • As the NCS(National Competency Standards) classification system continued to be developed and supplemented, NCS became widespread. Qualifications were redesigned to actively reflect industry demands, reduce the burden of redundant acquisition of unnecessary qualifications, and to evaluate objective capacities of the workforce. In addition to the learning modules to be developed in the future, previously developed NCS-based learning modules and lectures should be reorganized based on the new qualification design. In this paper, the Java programming subject designed based on NCS was redesigned according to SW new qualification design. Since the redesigned Java programming subjects consider the qualification design direction or qualification roadmap, not only can they be recognized as a test subject in qualification assessment through course evaluation, but also can be used as individual qualification data.

On Direct Sums of Lifting Modules and Internal Exchange Property

  • Dejun, Wu
    • Kyungpook Mathematical Journal
    • /
    • v.46 no.1
    • /
    • pp.11-18
    • /
    • 2006
  • Let R be a ring with identity and let $M=M_1{\bigoplus}M_2$ be an amply supplemented R-module. Then it is proved that $M_i$ has ($D_1$) and is $M_j-^*ojective$ for $i{\neq}j$, i = 1, 2, if and only if for any coclosed submodule X of M, there exist $M\acute{_1}{\leq}M_1$ and $M\acute{_2}{\leq}M_2$ such that $M=X{\bigoplus}M\acute{_1}{\bigoplus}M\acute{_2}$.

  • PDF

e-Learning Quality Assurance System in Corporate Education (기업 e-Learning 품질 보증 관리 개선 방안 연구)

  • Rha, Hyeon-Mi;Rhew, Sung-Yul;Kim, Jong-Bae
    • Journal of Information Technology Services
    • /
    • v.6 no.3
    • /
    • pp.111-128
    • /
    • 2007
  • The purpose of the research is to analyze the status and problems of the e-Learning quality assurance system on e-Learning contents and service provider(institutes) in the field of enterprise education. In addition, the research is to suggest the direction and strategies for revising and developing the system. The research put emphasis on two systems of the e-Learning quality assurance(contents, service provider) which directly influence financial support of government. This study depended mostly on literature review, supplemented by expert panel meetings. In the case of the quality assurance system on e-Learning contents, the followings are suggested; (1)admitting the contents made of the combination of modules in the approved module set, (2)making easier the qualifying of modified contents for maintenance, (3)revising evaluation criteria, (4)providing substantial feedback. In the field of service provider, the followings are requested; (1)differentiating of qualifying system by industry and scale of company, (2)extending the qualifying cycle, (3)improving the feedback and sharing system.

The Study of continuous cardiac output measurement module development of the cardiopulmonary function patient of using the Swan-Ganz Catheter (Swan-Ganz 카테터를 이용한 심폐기능 이상 환자의 지속적 심박출량 측정 모듈 개발)

  • Lim, Byeong-Seon;Han, Seung-Hwan;Kim, Young-Kil
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.17 no.4
    • /
    • pp.959-964
    • /
    • 2013
  • This study materialized the new module which enables to measure more precise data than the existing modules in order to examine the cardiac disorder critical patient's state by using Swan-Ganz Catheter. There was bolus type CO(Cardiac Output) module which measured CO by measuring the blood changes in temperature and recovery time by injecting cold sap into the heart in the past, but recently, it is not used in most of hospitals due to limit of difficulty of continuous monitoring for the patients. To overcome this limit, the continuous cardiac output measurement platform was materialized to enable the continuous monitoring for patients. The wasted cost issues because of introducing the expensive imported equipment to observe the critical patient`s state with abnormal cardiopulmonary function in the hospitals can be solved by using this new module, and the problem of existing modules should be supplemented for more accurate diagnosis by collecting more precise data.

Development of a Acoustic Acquisition Prototype device and System Modules for Fire Detection in the Underground Utility Tunnel (지하 공동구 화재재난 감지를 위한 음향수집 프로토타입 장치 및 시스템 모듈 개발)

  • Lee, Byung-Jin;Park, Chul-Woo;Lee, Mi-Suk;Jung, Woo-Sug
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.22 no.5
    • /
    • pp.7-15
    • /
    • 2022
  • Since the direct and indirect damage caused by the fire in the underground utility tunnel will cause great damage to society as a whole, it is necessary to make efforts to prevent and control it in advance. The most of the fires that occur in cables are caused by short circuits, earth leakage, ignition due to over-current, overheating of conductor connections, and ignition due to sparks caused by breakdown of insulators. In order to find the cause of fire at an early stage due to the characteristics of the underground utility tunnel and to prevent disasters and safety accidents, we are constantly managing it with a detection system using image analysis and making efforts. Among them, a case of developing a fire detection system using CCTV-based deep learning image analysis technology has been reported. However, CCTV needs to be supplemented because there are blind spots. Therefore, we would like to develop a high-performance acoustic-based deep learning model that can prevent fire by detecting the spark sound before spark occurs. In this study, we propose a method that can collect sound in underground utility tunnel environments using microphone sensor through development and experiment of prototype module. After arranging an acoustic sensor in the underground utility tunnel with a lot of condensation, it verifies whether data can be collected in real time without malfunction.