• 대한수학회지
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• 제50권5호
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• pp.1051-1066
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• 2013

By utilizing known characterizations of ${\omega}$-Noetherian rings in terms of injective modules, we give more characterizations of ${\omega}$-Noetherian rings. More precisely, we show that a commutative ring R is ${\omega}$-Noetherian if and only if the direct limit of GV -torsion-free injective R-modules is injective; if and only if every R-module has a GV -torsion-free injective (pre)cover; if and only if the direct sum of injective envelopes of ${\omega}$-simple R-modules is injective; if and only if the essential extension of the direct sum of GV -torsion-free injective R-modules is the direct sum of GV -torsion-free injective R-modules; if and only if every $\mathfrak{F}_{w,f}(R)$-injective ${\omega}$-module is injective; if and only if every GV-torsion-free R-module admits an $i$-decomposition.

• 대한수학회논문집
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• 제34권3호
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• pp.743-755
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• 2019

For every inverse semigroup S with subsemigroup E of idempotents, necessary and sufficient conditions are obtained for the weighted semigroup algebra $l^1(S,{\omega})$ and its second dual to be $l^1(E)$-module amenble. Some results for the module Arens regularity of $l^1(S,{\omega})$ (as an $l^1(E)$-module) are found. If S is either of the bicyclic inverse semigroup or the Brandt inverse semigroup, it is shown that $l^1(S,{\omega})$ is module amenable but not amenable for any weight ${\omega}$.

• 대한수학회보
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• 제49권5호
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• pp.1067-1079
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• 2012

Let M be a right R-module, (S, ${\leq}$) a strictly totally ordered monoid which is also artinian and ${\omega}:S{\rightarrow}Aut(R)$ a monoid homomorphism, and let $[M^{S,{\leq}}]_{[[R^{S,{\leq}},{\omega}]]$ denote the generalized inverse polynomial module over the skew generalized power series ring [[$R^{S,{\leq}},{\omega}$]]. In this paper, we prove that $[M^{S,{\leq}}]_{[[R^{S,{\leq}},{\omega}]]$ has the same uniform dimension as its coefficient module $M_R$, and that if, in addition, R is a right perfect ring and S is a chain monoid, then $[M^{S,{\leq}}]_{[[R^{S,{\leq}},{\omega}]]$ has the same couniform dimension as its coefficient module $M_R$.

• 대한수학회지
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• 제48권1호
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• pp.207-222
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• 2011

Let R be a commutative ring and let M be a GV -torsionfree R-module. Then M is said to be a $\omega$-module if $Ext_R^1$(R/J, M) = 0 for any J $\in$ GV (R), and the w-envelope of M is defined by $M_{\omega}$ = {x $\in$ E(M) | Jx $\subseteq$ M for some J $\in$ GV (R)}. In this paper, $\omega$-modules over commutative rings are considered, and the theory of $\omega$-operations is developed for arbitrary commutative rings. As applications, we give some characterizations of $\omega$-Noetherian rings and Krull rings.

• 전자공학회논문지A
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• 제33A권7호
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• pp.216-222
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• 1996

Since many typical 2.5 Gbps optical transmitter modules use a 50$\Omega$ characteristic impedance, they require relatively high voltage and high power sources compared to the 25$\Omega$ module. However, simple replacement of the 50$\Omega$ internal matching impedance with 25$\Omega$ results in bandwidth reduction and consequent problem of data transmitter module is proposed in order to expand the modulator bandwidth. From the calculated resutls based on accurate 3-dimensional inductance analysis, we have found that the series parasitic inductance is a dominant element limiting the bandwidth and the insertion of a 2.5pF capacitor in parallel to the 20$\Omega$ matching resiter can increase the 3 dB bandwidth about 1.4GHz wider. The time-domain results show the rise time (140 psec) without the compensation is greatly improved to 63 psec with the compensation. This capacitive ocmpensation can be implemented easily and be compatible with common manufacturing process of the optical transmitter module.

• 대한수학회보
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• 제50권2호
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• pp.475-483
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• 2013

We give some characterizations of injective modules over ${\omega}$-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a ${\omega}$-Noetherian ring is injective.

• 대한수학회지
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• 제51권5호
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• pp.971-985
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• 2014

All modules considered in this note are over associative commutative rings with an identity element. We show that a ${\omega}$-local module M is Rad-supplemented if and only if M/P(M) is a local module, where P(M) is the sum of all radical submodules of M. We prove that ${\omega}$-local nonsmall submodules of a cyclic Rad-supplemented module are again Rad-supplemented. It is shown that commutative Noetherian rings over which every w-local Rad-supplemented module is supplemented are Artinian. We also prove that if a finitely generated Rad-supplemented module is cyclic or multiplication, then it is amply Rad-supplemented. We conclude the paper with a characterization of finitely generated amply Rad-supplemented left modules over any ring (not necessarily commutative).

• 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.

• 한국전자파학회논문지
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• 제14권11호
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• pp.1198-1206
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• 2003

본 논문에서는 도파관 대 마이크로스트립 모드 변환기를 설계하고 이를 바탕으로 도파관 혼합기 모듈을 제작 측정하였다. 설계된 모드 변환기는 반사손실을 최소화하기 위하여 50 $\Omega$ 마이크로스트립 라인의 패턴을 변화시킴으로서 도파관 내 릿지와 마이크로스트립 사이의 불연속부분의 영향을 보상하였다. 이렇게 제작된 모드 변환기를 사용함으로써 밀리미터파 대역에서 개발된 MMIC 칩을 저 손실 guiding이 가능하도록 도파관 내에 장착시켜 시스템으로의 적용이 가능하도록 하였다. 제작된 도파관 혼합기 모듈의 측정 결과, 제공된 MMIC에서 얻어진 혼합기의 사양의 성능저하가 거의 없음을 알 수 있었다.

• 멤브레인
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• 제6권2호
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• pp.86-95
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• 1996

본 연구에서는1축 회전판형 한외여과막 모듈의 순수 투과율 예측모델과 기름 에멀션의 분리 특성 및 투과율 예측모델을 유도하였다. 1축 RDM은 한외여과막(UOP사, 직경 0.22m)으로 제작된 회전판막을 장착하여 $25^{\circ}C$에서 압력, 각속도($\omega$), 농도 변화에 따라 분리특성을 조사하였다. 회전판막의 각속도가 0에서 52.36rad/s로 증가할수록 회전판내 유체가 받는 원심력에 의한 압력 강하와 분리막 표면의 미끄럼 흐름에 의한 압력 강하로 순수 투과율은 최대 각속도에서 3.9% 감소하였다. 원심력과 미끄럼 흐름에 의한 압력 강하는 선속도(${\omega}r$)의 자승에 비례하였다. 회전판의 각속도가 52.36에서 2.62rad/s로 감소할 때 5% 절삭유의 투과율은 30.16% 감소하였고 농도가 낮을수록 막회전과 투과율에 미치는 영향은 적었다. 절삭유의 투과율(J; $kg/m^{2} \cdot s$)은 회전에 의한 압력 강하를 고려한 유효압력차($\Delta P_{T}$ ; Pa), 벌크농도($C_{B}$; %), 선속도($\omega$r; m/s) 등에 영향을 받으며 실험 결과에 저항 모델을 적용하여 다음과 같은 식을 유도하였다.