• Kyungpook Mathematical Journal
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• 제51권2호
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• pp.177-185
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• 2011

A right ideal I of a ring R is small in case for every proper right ideal K of R, K + I ${\neq}$ = R. A right R-module M is called PS-injective if every R-homomorphism f : aR ${\rightarrow}$ M for every principally small right ideal aR can be extended to R ${\rightarrow}$ M. A ring R is called right PS-injective if R is PS-injective as a right R-module. We develop, in this article, PS-injectivity as a generalization of P-injectivity and small injectivity. Many characterizations of right PS-injective rings are studied. In light of these facts, we get several new properties of a right GPF ring and a semiprimitive ring in terms of right PS-injectivity. Related examples are given as well.

• Journal of applied mathematics & informatics
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• 제38권1_2호
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• pp.57-64
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• 2020

Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

• 폴리머
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• 제33권5호
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• pp.458-462
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• 2009

본 연구에서는 순차적 음이온 및 개환중합반응을 통해 ABC 형태의 폴리스티렌-폴리에틸렌옥사이드-폴리락티드 블록공중합체를 성공적으로 합성하였다. 우선, 첫번째 블록인 폴리스티렌을 합성하기 위해서, 사이클로헥산 용매에서 스티렌/이차-부틸리튬을 각각 단량체/개시제로 사용하여 음이온중합(anionic polymerization)을 수행하였고, 이후 고분자 말단을 수산기로 전환시키기 위해, 에틸렌옥사이드를 첨가하였다. 다음 단계로 포타슘 나프탈레나이드(potassium naphthalenide)를 이용하여 폴리스티렌 말단 수산기의 수소를 제거하여, 거대개시제인 PS-$O^-K^+$를 제조하였다. 준비된 거대 개시제에 정량된 에틸렌옥사이드를 첨가하여, 음이온중합을 수행하였다. 폴리락티드 블록을 도입시키는 개환중합의 경우, THF 용매에서 트리에틸알루미늄(triethylaluminum)/피리딘(pyridine)시스템을 이용하여 PS-b-PEO-$AlEt_2$ 형태의 거대개시제를 형성한 후, $90^{\circ}C$에서 중합을 수행하였다. 합성된 블록공중합체를 수소핵자기공명법 및 겔침투크로마토그래피 방법을 통해 조사한 결과, 잘 정의된 분자량 및 낮은 분자량 분포를 나타냄을 확인할 수 있었다.

• 한국광학회지
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• 제10권1호
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• pp.58-63
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• 1999

광반도체 증폭기를 이용하여 $1.5\mu\textrm{m}$파장 영역에서 발전하는 조화 모드 록킹된 10GHz 고리형 반도체-광섬유 레이저를 구현하였다. 레이저 펄스폭은 13~18ps이고, 파장 선폭은 0.4~0.6nm이며, 양으로 주파수 처핑되었다. 2km 길이의 표준단일 모드 광섬우를 이용하여 4dBm의 평균 출력을 갖는 레이저 펄스를 광섬유의 군분산 보상에 의해 펄스폭을 최대 6.8ps까지 압축시켰다.

• Journal of Photoscience
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• 제7권4호
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• pp.153-154
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• 2000

No Abstract. See full-text

• Journal of the Optical Society of Korea
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• 제18권6호
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• pp.766-771
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• 2014

Single-ring all-pass filters with various coupling ratios are designed, fabricated, and characterized to assess the validity of the split-step time-domain modeling approach, which is considered for direct simulation of time-domain characteristics, such as optical delay, of various ring resonator devices. When the coupling ratio of the single-ring all-pass filter is 0.4 and 0.8, the delay time is measured to be about 145 and 42 ps respectively, which is comparable to the time-domain modeling results of 151 and 47 ps respectively. The measurements for two- and three-ring all-pass filters are also found to agree quite well with the simulation results. With these results it is confirmed that the split-step time-domain model could be efficiently incorporated into an optical-communication simulation module for ring resonator delay components in an all-optical packet switching system.

• Kyungpook Mathematical Journal
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• 제54권3호
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• pp.471-476
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• 2014

Let R be a ring. A right R-module M is PS-injective if every R-homomorphism $f:aR{\rightarrow}M$ for every principally small right ideal aR can be extended to $R{\rightarrow}M$. We investigate, in this paper, rings whose simple singular modules are PS-injective. New characterizations of semiprimitive rings and semisimple Artinian rings are given.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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• pp.479-481
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• 2006

This paper describes a 2.5V, 320MHz low-noise and low-power Phase Locked Loop(PLL) using a noise-rejected Voltage Controlled ring Oscillator(VCO) fabricated in a TSMC 0.25um CMOS technology. In order to improve the power consumption and oscillation frequency of the PLL, The VCO consist of three-stage fully differential delay cells that can obtain the characteristic of high speed, low power and low phase noise. The VCO operates at 7MHz -670MHz. The oscillator consumes l.58mA from a 320MHz frequency and 2.5V supply. When the PLL with fully-differential ring VCO is locked 320MHz, the jitter and phase noise measured 26ps (rms), 157ps (p-p) and -97.09dB at 100kHz offset. We introduce and analysis the conditions in which ring VCO can oscillate for low-power operation.

• 한국광학회지
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• 제7권4호
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• pp.386-389
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• 1996

We report on comparative results obtained from harmonically mode-locked laser operations of ring-type and figure-of-eight(F8) type erbium-doped fiber lasers by using a directional-coupler type electro-optic modulator as an active mode-locker. The mode-locked and transform-limited pulses of 10.6 ps width were obtained at harmonics of the fundamental cavity frequency with the F8 type laser while mode-locked laser pulses greater than 15 ps were achieved with the ring type laser.

• 대한전자공학회논문지
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• 제23권6호
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• pp.741-746
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• 1986

A novel n-p-n bipolar transistor of which emitter is self-aligned with base contact by polyilicon is developed for using in high speed and high packing density LSI circuits. The emitter of this transistor is separated less than 0.4 \ulcorner with base contact by self-aligh technology, and the emitter feature size is less than 3x5 \ulcorner\ulcorner Because the active region of this transistor is not damaged through all the process, it has excellent electric properties. Using the n-p-n transistors by 3.0\ulcorner design rules, a NTL ring oscillator has 380 ps, a CML ring oscillator has 390ps, and a I\ulcorner ring oscillator has 5.6ns of per-gate minimum propagation delay time.