• 제목/요약/키워드: pR-module

검색결과 116건 처리시간 0.023초

ON S-MULTIPLICATION RINGS

  • Mohamed Chhiti;Soibri Moindze
    • 대한수학회지
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    • 제60권2호
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    • pp.327-339
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    • 2023
  • Let R be a commutative ring with identity and S be a multiplicatively closed subset of R. In this article we introduce a new class of ring, called S-multiplication rings which are S-versions of multiplication rings. An R-module M is said to be S-multiplication if for each submodule N of M, sN ⊆ JM ⊆ N for some s ∈ S and ideal J of R (see for instance [4, Definition 1]). An ideal I of R is called S-multiplication if I is an S-multiplication R-module. A commutative ring R is called an S-multiplication ring if each ideal of R is S-multiplication. We characterize some special rings such as multiplication rings, almost multiplication rings, arithmetical ring, and S-P IR. Moreover, we generalize some properties of multiplication rings to S-multiplication rings and we study the transfer of this notion to various context of commutative ring extensions such as trivial ring extensions and amalgamated algebras along an ideal.

CASTELNOUVO-MUMFORD REGULARITY OF GRADED MODULES HAVING A LINEAR FREE PRESENTATION

  • Ahn, Jeaman
    • 충청수학회지
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    • 제22권4호
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    • pp.777-787
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    • 2009
  • In this paper we investigate the upper bound on the Castelnuovo-Mumford regularity of a graded module with linear free presentation. Let M be a finitely generated graded module over a polynomial ring R with zero dimensional support. We prove that if M is generated by elements of degree $d{\geq}0$ with a linear free presentation $$\bigoplus^p{R}(-d-1)\longrightarrow^{\phi}\bigoplus^q{R}(-d){\longrightarrow}M{\longrightarrow}0$$, then the Castelnuovo-Mumford regularity of M is at most d+q-1. As an important application, we can prove vector bundle technique, which was used in [11], [13], [17] as a tool for obtaining several remarkable results.

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에미터 랩쓰루 실리콘 태양전지 개발 (Current Status of Emitter Wrap-Through c-Si Solar Cell Development)

  • 조재억;양병기;이홍구;현덕환;정우원;이대종;홍근기;이성은;홍정의
    • Current Photovoltaic Research
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    • 제1권1호
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    • pp.17-26
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    • 2013
  • In contrast to conventional crystalline cells, back-contact solar cells feature high efficiencies, simpler module assembly, and better aesthetics. The highest commercialized cell and module efficiency was recorded by n-type back-contact solar cells. However, the mainstream PV industry uses a p-type substrate instead of n-type due to the high costs and complexity of the manufacturing processes in the case of the latter. P-type back-contact solar cells such as metal wrap-through and emitter wrap-through, which are inexpensive and compatible with the current PV industry, have consequently been developed. In this paper the characteristics of EWT (emitter wrap-through) solar cells and their status and prospects for development are discussed.

함정용 다기능 AESA 레이더 시스템을 위한 고전압·고효율 DC-DC 전원모듈 개발 (Development of High Voltage, High Efficiency DC-DC Power Module for Modern Shipboard Multi-Function AESA Radar Systems)

  • 정민길;이원영;김상근;김수태;권영수
    • 한국군사과학기술학회지
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    • 제24권1호
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    • pp.50-60
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    • 2021
  • For conventional AESA radars, DC-DC power modules using 300 Vdc have low efficiency, high volume, heavy weight, and high price, which have problems in modularity with T/R module groups. In this paper, to improve these problems, we propose a distributed DC-DC power module with high-voltage 800 Vdc and high-efficiency Step-down Converter. In particular, power requirements for modern and future marine weapons systems and sensors are rapidly evolving into high-energy and high-voltage power systems. The power distribution of the next generation Navy AESA radar antenna is under development with 1000 Vdc. In this paper, the proposed highvoltage, high-efficiency DC-DC power modules increase space(size), weight, power and cooling(SWaP-C) margins, reduce integration costs/risk, and reduce maintenance costs. Reduced system weight and higher reliability are achieved in navy and ground AESA systems. In addition, the proposed architecture will be easier to scale with larger shipboard radars and applicable to other platforms.

실시간 Igr 검출을 위한 센서 모듈의 제작 및 신뢰성 평가에 관한 연구 (A Study on the Fabrication of the Sensor Module for the Detection of Resistive Leakage Current (Igr) in Real Time and Its Reliability Evaluation)

  • 이병설;최충석
    • 한국안전학회지
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    • 제33권1호
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    • pp.28-34
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    • 2018
  • The purpose of this study is to fabricate a sensor module to detect the resistive leakage current (Igr) in real time that occurs to low voltage electric lines and to verify its reliability. In the case of the developed sensor module, wires are inserted into the zero current transformer (ZCT) and current transformer (CT) in advance and then the branch line is connected to the circuit breaker. The measurement result of the resistance of the distribution panel equipped with the developed sensor module shows that the resistance is $0.151m{\Omega}$ between the R and R phases, $0.169m{\Omega}$ between the S and S phases, and $0.178m{\Omega}$ between the T and T phases, respectively. The insulation resistance measured at AC 500 V and 1,000 V is $0.08m{\Omega}$ between the R, S, T and N phases, respectively. Then, the insulation resistance measured at DC 500 V is $83.3G{\Omega}$ between the R, S, T and G terminal, respectively. In addition, the applied withstanding voltage is AC 220 V/380 V/440 V and it was found that characteristics between all phases are good. This study measured the standby power by installing the developed sensor module at the rear of the MCCB and switching the circuit breaker on sequentially. The standby power is 1.350 W when one circuit breaker is turned on, 1.690 W when 2 circuit breakers are turned on, and 4.371 W when 10 circuit breakers are turned on. This study also verified the reliability of the standby power of the distribution panel equipped with the developed sensor module using the Minitab Program (Minitab PGM). Since the analysis shows the statistical average of 1.34627 in the reliable range of normal distribution, standard deviation of 0.001874, AD of 0.554, and P value of 0.140, it is found that the distribution panel equipped with the developed sensor module has high reliability.

림프부종 자가 관리 실천 정도와 유방절제술 환자의 삶의 질과의 관계 (The Relationship between Practice in Lymphedema Self-care Management and Health-related Quality of Life in Breast Cancer Patients with Mastectomy)

  • 최은녀;최혜란
    • 중환자간호학회지
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    • 제6권1호
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    • pp.21-33
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    • 2013
  • Purpose: The purpose of this study was to examine the relationship between lymphedema self-care management and quality of life in breast cancer patients with mastectomy and lymphedema. Methods: One hundred and eighty-six breast cancer patients with mastectomy and lymphedema (n=186) were recruited at a medical center located in Seoul. The levels of lymphedema self-care management and quality of life were measured by the scale for measurement of practice in lymphedema self-care management, European Organization for Research and Treatment of Cancer-Quality of Life Core 30 (EORTC QLQ-C30) and European Organization for Research and Treatment of Cancer-Quality of Life Questionnaire Breast Cancer Module (EORTC QLQ BR23), respectively. Data were analyzed with SPSS 18.0 program. Results: There were statistically significant correlations between lymphedema self-care management and general health status/quality of life in mastectomy patients with lymphedema (r=.30, p<.001). The physical function score of cancer related function scale (r=-.15, p=.033), fatigue score of cancer related symptom scale (r=.15, p=.036), systemic side effect score of breast cancer related symptom scale (r=.45, p=.034), and upset by hair loss (r=.27, p=.004) were significantly correlated with quality of life. Conclusion: The findings suggest that these significant factors should be considered when caring for lymphedema patients.

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ON FINITENESS PROPERTIES ON ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES AND EXT-MODULES

  • Chu, Lizhong;Wang, Xian
    • 대한수학회지
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    • 제51권2호
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    • pp.239-250
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    • 2014
  • Let R be a commutative Noetherian (not necessarily local) ring, I an ideal of R and M a finitely generated R-module. In this paper, by computing the local cohomology modules and Ext-modules via the injective resolution of M, we proved that, if for an integer t > 0, dim$_RH_I^i(M){\leq}k$ for ${\forall}i$ < t, then $$\displaystyle\bigcup_{i=0}^{j}(Ass_RH_I^i(M))_{{\geq}k}=\displaystyle\bigcup_{i=0}^{j}(Ass_RExt_R^i(R/I^n,M))_{{\geq}k}$$ for ${\forall}j{\leq}t$ and ${\forall}n$ >0. This shows that${\bigcup}_{n>0}(Ass_RExt_R^i(R/I^n,M))_{{\geq}k}$ is a finite set for ${\forall}i{\leq}t$. Also, we prove that $\displaystyle\bigcup_{i=1}^{r}(Ass_RM/(x_1^{n_1},x_2^{n_2},{\ldots},x_i^{n_i})M)_{{\geq}k}=\displaystyle\bigcup_{i=1}^{r}(Ass_RM/(x_1,x_2,{\ldots},x_i)M)_{{\geq}k}$ if $x_1,x_2,{\ldots},x_r$ is M-sequences in dimension > k and $n_1,n_2,{\ldots},n_r$ are some positive integers. Here, for a subset T of Spec(R), set $T_{{\geq}i}=\{{p{\in}T{\mid}dimR/p{\geq}i}\}$.

A KUROSH-AMITSUR LEFT JACOBSON RADICAL FOR RIGHT NEAR-RINGS

  • Rao, Ravi Srinivasa;Prasad, K.Siva
    • 대한수학회보
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    • 제45권3호
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    • pp.457-466
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    • 2008
  • Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it $J_{5/2}$, the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that $J_2(R){\subseteq}J_{5/2}(R){\subseteq}J_3(R)$. It is shown that $J_{5/2}$ is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But $J_{5/2}$ is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that $J_{(5/2)(0)}$, the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical $J_{5/2}$ of zero-symmetric near-rings to the class of all near-rings.