• 대한수학회논문집
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• 제14권1호
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• pp.1-12
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• 1999

The faithful bi-module \ulcornerM\ulcorner with its endomorphism ring End\ulcorner(M) such that M\ulcorner is flat (in other words, End\ulcorner(M)-flat, or endo-flat)and with a commutative ring R containing an identity has been studied in this paper. The chain conditions of a faithful endo-flat module \ulcornerM relative to those of the endomorphism ring End\ulcorner(M) having the zero annihilator of each non-zero endomorphism are studied.

• 충청수학회지
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• 제30권1호
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• pp.53-59
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• 2017

In this article, we generalize the concepts of several classes of domains (which are related to a Dedekind domain) to a torsion-free module and it is shown that for a faithful multiplication module over an integral domain, we characterize Dedekind modules, cyclic submodule modules, and discrete valuation modules in terms of factorable modules and a sort of Euclidean algorithm.

• 호남수학학술지
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• 제28권3호
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• pp.365-376
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• 2006

Let R be a commutative ring and let M be an R-module. Let X = $Spec_R(M)$ be the prime spectrum of M with Zariski topology. In this paper, by using the topological properties of X, we will obtain some conditions under which $Max_R(M)=Spec_R(M)$.

• Kyungpook Mathematical Journal
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• 제58권3호
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• pp.463-472
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• 2018

A Q-module is a module in which every nonzero submodule of M is a finite product of primary submodules of M. This paper is devoted to study some properties of Dedekind modules and Q-modules.

• Kyungpook Mathematical Journal
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• 제53권3호
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• pp.407-417
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• 2013

In this article, we characterize t-Pr$\ddot{u}$fer modules in the class of faithful multiplication modules. As a corollary, we also characterize Krull modules. Several properties of a $t$-invertible submodule of a faithful multiplication module are given.

• Kyungpook Mathematical Journal
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• 제45권3호
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• pp.445-453
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• 2005

We say that a module M is weak lifting if M is supplemented and every supplement submodule of M is a direct summand. The module M is called lifting, if it is weak lifting and amply supplemented. This paper investigates the structure of weak lifting modules and lifting modules having small radical over commutative noetherian rings.

• 호남수학학술지
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• 제5권1호
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• pp.289-292
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• 1983

• 한국통신학회논문지
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• 제32권8A호
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• pp.785-793
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• 2007

본 논문에서는 TP 케이블을 이용하여 100Mbps의 전송 속도를 지원하는 100Base-TX Ethernet 수신기의 디지털 신호 처리부를 제안하였다. 제안하는 디지털 신호 처리부는 자동 이득 조절기, 심볼 동기 복원기, 적응 등화기, BLW 보정기로 구성되어 있으며 초기 위상에 상관없이 150m까지 $10^{-12}BER$이하의 성능을 보였다. 제안하는 신호 처리부는 일부 블록을 제외한 모든 부분을 디지털로 구현하였으며 적응 등화기와 BLW 보정기 연동 구조는 기존의 적응 등화기 에러 값을 이용하는 구조에 비하여 MSE가 약 1dB정도의 성능 향상을 가져왔다. 설계한 디지털 신호 처리부는 Verilog-HDL로 구현되었으며 삼성 $0.18{\mu}m$ 라이브러리를 사용하여 합성 결과 동작 속도는 7.01ns 이며 총 게이트 수는 128.528 게이트였다.

• 대한수학회지
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• 제50권6호
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• pp.1271-1290
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• 2013

Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime (resp. M-semiprime) submodule of X such that in the case M=R, it coincides with prime (resp. semiprime) submodule of X. Other concepts encountered in the general theory are M-$m$-system sets, M-$n$-system sets, M-prime radical and M-Baer's lower nilradical of modules. Relationships between these concepts and basic properties are established. In particular, we identify certain submodules of M, called "primeM-ideals", that play a role analogous to that of prime (two-sided) ideals in the ring R. Using this definition, we show that if M satisfies condition H (defined later) and $Hom_R(M,X){\neq}0$ for all modules X in the category ${\sigma}[M]$, then there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules in ${\sigma}[M]$ and prime M-ideals of M. Also, we investigate the prime M-ideals, M-prime submodules and M-prime radical of Artinian modules.

• Journal of Electrical Engineering and Technology
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• 제11권4호
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• pp.829-838
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• 2016

This paper focuses on the engineering trade-offs in designing capacitor voltage balancing schemes for modular multilevel converters (MMC) HVDC: regulation performance and switching loss. MMC is driven by the on/off switch operation of numerous submodules and the key design concern is balancing submodule capacitor voltages minimizing switching transition among submodules because it represents the voltage regulation performance and system loss. This paper first introduces the state-of-the-art MMC-HVDC submodule capacitor voltage balancing methods reported in the literatures and discusses the trade-offs in designing these methods for HVDC application. This paper further proposes a submodule capacitor balancing scheme exploiting a control signal to flexibly interchange between the on-state and the off-state submodules. The proposed scheme enables desired performance-based voltage regulation and avoids unnecessary switching transitions among submodules, consequently reducing the switching loss. The flexibility and controllability particularly fit in high-level MMC HVDC applications where the aforementioned design trade-offs become more crucial. Simulation studies for MMC HVDC are performed to demonstrate the validity and effectiveness of the proposed capacitor voltage balancing algorithm.