• Title/Summary/Keyword: t-module

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COFINITENESS OF GENERAL LOCAL COHOMOLOGY MODULES FOR SMALL DIMENSIONS

  • Aghapournahr, Moharram;Bahmanpour, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1341-1352
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    • 2016
  • Let R be a commutative Noetherian ring, ${\Phi}$ a system of ideals of R and $I{\in}{\Phi}$. In this paper among other things we prove that if M is finitely generated and $t{\in}\mathbb{N}$ such that the R-module $H^i_{\Phi}(M)$ is $FD_{{\leq}1}$ (or weakly Laskerian) for all i < t, then $H^i_{\Phi}(M)$ is ${\Phi}$-cofinite for all i < t and for any $FD_{{\leq}0}$ (or minimax) submodule N of $H^t_{\Phi}(M)$, the R-modules $Hom_R(R/I,H^t_{\Phi}(M)/N)$ and $Ext^1_R(R/I,H^t_{\Phi}(M)/N)$ are finitely generated. Also it is shown that if cd I = 1 or $dimM/IM{\leq}1$ (e.g., $dim\;R/I{\leq}1$) for all $I{\in}{\Phi}$, then the local cohomology module $H^i_{\Phi}(M)$ is ${\Phi}$-cofinite for all $i{\geq}0$. These generalize the main results of Aghapournahr and Bahmanpour [2], Bahmanpour and Naghipour [6, 7]. Also we study cominimaxness and weakly cofiniteness of local cohomology modules with respect to a system of ideals.

Multifunctional Interface Board for the implementation of IoT (사물 인터넷을 위한 다기능 인터페이스 보드 구현)

  • kim, Ka-Eul;Oh, Kang-Jin;Jo, Su-Min;Kwoen, Oh-Jun;Kim, Sun-Hyeng
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.10a
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    • pp.530-532
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    • 2015
  • Nowadays, it is animately studied on IoT(Internet of Things) on the strength of development of the short-range communications technology and smart device. In this paper, it made a interface board which is capable of short-range communications networks based on embedded linux and Android OS (operating system). and we also made a IoT sensor module and device driver module. This devices are easily separated and changed and also simply embodied in IoT, and It was implemented using the Android app that allows you to control the sensors.

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A NOTE ON OPERATORS ON FINSLER MODULES

  • TAGHAVI, A.;JAFARZADEH, JAFARZADEH
    • Honam Mathematical Journal
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    • v.28 no.4
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    • pp.533-541
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    • 2006
  • let E be a Finsler modules over $C^*$-algebras. A with norm-map $\rho$ and L(E) set of all A-linear bonded operators on E. We show that the canonical homomorphism ${\phi}:L(E){\rightarrow}L(E_I)$ sending each operator T to its restriction $T|E_I$ is injective if and only if I is an essential ideal in the underlying $C^*$-algebra A. We also show that $T{\in}L(E)$ is a bounded below if and only if ${\mid}{\mid}x{\mid}{\mid}={\mid}{\mid}{\rho}{\prime}(x){\mid}{\mid}$ is complete, where ${\rho}{\prime}(x)={\rho}(Tx)$ for all $x{\in}E$. Also, we give a necessary and sufficient condition for the equivalence of the norms generated by the norm map.

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AN INDEPENDENT RESULT FOR ATTACHED PRIMES OF CERTAIN TOR-MODULES

  • Khanh, Pham Huu
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.531-540
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    • 2015
  • Let (R, m) be a Noetherian local ring, I an ideal of R, and A an Artinian R-module. Let $k{\geq}0$ be an integer and $r=Width_{&gt;k}(I,A)$ the supremum of length of A-cosequence in dimension > k in I defined by Nhan-Hoang [8]. It is shown that for all $t{\leq}r$ the sets $$(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/I^n,A)))_{{\geq}k}\;and\\(\bigcup_{i=0}^{t}Att_R(Tor_i^R(R/(a_1^{n_1},{\cdots},a_l^{n_l}),A)))_{{\geq}k}$$ are independent of the choice of $n,n_1,{\cdots},n_l$ for any system of generators ($a_1,{\cdots},a_l$) of I.

FINITENESS PROPERTIES OF EXTENSION FUNCTORS OF COFINITE MODULES

  • Irani, Yavar;Bahmanpour, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.2
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    • pp.649-657
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    • 2013
  • Let R be a commutative Noetherian ring, I an ideal of R and T be a non-zero I-cofinite R-module with dim(T) ${\leq}$ 1. In this paper, for any finitely generated R-module N with support in V(I), we show that the R-modules $Ext^i_R$(T,N) are finitely generated for all integers $i{\geq}0$. This immediately implies that if I has dimension one (i.e., dim R/I = 1), then $Ext^i_R$($H^j_I$(M), N) is finitely generated for all integers $i$, $j{\geq}0$, and all finitely generated R-modules M and N, with Supp(N) ${\subseteq}$ V(I).

ON THE COHOMOLOGICAL DIMENSION OF FINITELY GENERATED MODULES

  • Bahmanpour, Kamal;Samani, Masoud Seidali
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.311-317
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    • 2018
  • Let (R, m) be a commutative Noetherian local ring and I be an ideal of R. In this paper it is shown that if cd(I, R) = t > 0 and the R-module $Hom_R(R/I,H^t_I(R))$ is finitely generated, then $$t={\sup}\{{\dim}{\widehat{\hat{R}_p}}/Q:p{\in}V(I{\hat{R}}),\;Q{\in}mAss{_{\widehat{\hat{R}_p}}}{\widehat{\hat{R}_p}}\;and\;p{\widehat{\hat{R}_p}}=Rad(I{\wideha{\hat{R}_p}}=Q)\}$$. Moreover, some other results concerning the cohomological dimension of ideals with respect to the rings extension $R{\subset}R[X]$ will be included.

The Comparative analysis of Power Losses for 3-Level NPC Inverter and 3-Level T-type Inverter Module used in 10kW Photovoltaic system (10KW 급 태양광 발전용 3-Level NPC 인버터와 T-type 인버터 모듈의 손실 비교 분석)

  • Lee, Kwanghee;Jang, Seungyong;Choi, Jaeho
    • Proceedings of the KIPE Conference
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    • 2014.11a
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    • pp.143-144
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    • 2014
  • 본 논문에서는 NPC(Neutral Point Clamped) 및 T-type IGBT 모듈을 이용하여 3상 3-레벨 인버터를 구성하고, 인버터에서 발생되어지는 도통손실과 스위칭 손실을 PSIM의 Thermal Module을 사용하여 확인한다. 또한 토폴로지 상의 차이에 의해 발생되어지는 스위치 손실을 비교 하며, 시뮬레이션에 적용한 파라미터 값들을 수식에 직접 적용하여 손실에 영향을 미치는 파라미터를 확인하고, 각 파라미터의 값의 변화가 주어진 조건에서 전체 손실에 미치는 영향을 확인한다.

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LTE Cat.M1 Communication Module for Fishing Gear Automatical Identification Monitoring System (어구 자동식별 모니터링을 위한 LTE Cat.M1 통신 모듈)

  • Kim, Seong-Yuel;Lee, Doo-Cheon;Kim, Kwang-On;Yim, Choon-Sik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2021.10a
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    • pp.682-685
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    • 2021
  • The design and fabrication of LTE Cat.M1 (3GPP Release13 Standardization) modules of ships such as fishing boat and patrol boat are reported in this research. LTE cat.M1 modules are needed to expand the for broadening of IoT services through the ships used in fishing gear automatically identification monitoring system, which is one of applying ICT into the real name system of electric fishing gear.

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Phosphorus Removal and Operating Performance of Mesh Filtration Bio-reactor with the Addition of Alum (Alum 주입 메쉬 침지 여과분리형 생물반응조의 운전 특성과 인 제거)

  • Jung, Yong-Jun;Min, Kyung-Sok
    • Journal of Korean Society on Water Environment
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    • v.21 no.5
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    • pp.458-463
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    • 2005
  • Considering the characteristics of a filtration bio-reactor equipped with a mesh filter module which can effectively maintain high concentration of biomass and enhanced solid-liquid separation performance, the hybrid process of filtration bio-reactor combined with coagulation was investigated to get improved filtration characteristics as well as water quality in this work. Two bio-reactors (Run-1 & Run-2) were operated under the following conditions: working volume of 25 L, continuous loading of a synthetic wastewater (BOD: 200 mg/L, T-N: 50 mg/L, T-P: 5 mg/L), where an appropriate amount of alum ($Al_2(SO_4)_3{\cdot}18H_2O$) was added once a day into the reactor (Run-2). In the system without using a alum (Run-1), the clogging of mesh filter module was observed two times through 85 days of whole operation. Meanwhile, the filter module did not clog even at higher MLSS concentration (6,000~12,000 mg/L) and the stable filtration (0.7 mid) was continued in the case of using a alum. Due to the stable formation of cake layers, BOD and SS were shown below 6 and 3 mg/L, respectively. T-P and pH of the effluent were changed because of the intermittent addition of the alum. In the case of Al/P=2.5, the average T-P removal efficiency per day was 85.2% and the average T-P concentration of the effluent was 0.3 mg/L. However, the removal efficiency of phosphate was influenced by pH in the reactor.

Effect of a Situational Module Learning Course on Critical Thinking Disposition and Metacognition in Nursing Students: A Quasi-experimental Study (간호대학생의 비판적 사고성향, 메타인지에 대한 상황모듈학습 프로그램 적용 효과)

  • Park, Kwang Ok;Yu, Mi
    • The Journal of Korean Academic Society of Nursing Education
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    • v.25 no.2
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    • pp.251-262
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    • 2019
  • Purpose: This study aimed to identify the effect of a situational module learning course on critical thinking disposition and metacognition in sophomore nursing students. Methods: This study was a non-equivalent control-group pretest-posttest quasi-experimental design; the participants included 64 nursing students (32 in the experimental and 32 in the control group) from two Korean universities. Critical thinking disposition and metacognition between the control and intervention groups were measured before and after program participation. Data collection was conducted between September 1 and December 15, 2016. An independent t-test was used to determine differences in critical thinking disposition and metacognition between the groups and Pearson's correlations were measured for correlation with critical thinking disposition and metacognition. Results: The intervention group showed higher critical thinking disposition (t=3.16, p=.002); intellectual integrity (t=2.85, p=.006); and open-mindedness (t=3.30, p=.002) relative to those of the control group. However, there were no statistical differences in metacognition between the two groups (t=-0.14, p=.888). A significant positive correlation between metacognition and critical thinking disposition was found. (r=.62, p<.001). Conclusion: The situational module learning course developed in this study could be used to promote critical thinking disposition in nursing students.