• 제목/요약/키워드: pR-module

검색결과 116건 처리시간 0.023초

Principally Small Injective Rings

  • Xiang, Yueming
    • 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.

A Note on the Homomorphisms Between Modules

  • Kim, Doo Ho
    • 한국수학교육학회지시리즈A:수학교육
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    • 제10권1호
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    • pp.4-5
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    • 1972
  • 이 논문은 modules 사이의 homomorphisms의 exact sequence에서 다음과 같은 것을 밝힌 것임. 1. (equation omitted)이 하나의 exact sequence 이고 P가 임의의 R-module일 때 (equation omitted)은 abelian group의 하나의 exact sequence라는 것. 2. (equation omitted)이 exact sequence 이고 P가 임의의 R-modele이면 (equation omitted)는 abelian group의 하나의 exact sequence라는 것.

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SOA 집적 XPM형 파장변환기 모듈 제작 및 특성 (Fabrication and characterization of XPM based wavelength converter module with monolithically integrated SOA's)

  • 김종회;김현수;심은덕;백용순;김강호;권오기;엄용성;윤호경;오광룡
    • 한국광학회지
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    • 제14권5호
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    • pp.509-514
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    • 2003
  • SOA(Semiconductor Optical Amplifier)를 단일 기판에 집적한 Mach-Zehnder 간섭계 구조의 파장변환기를 제작하여 40 nm 지역폭에 대한 10 Gb/s 파장변환 특성을 조사하였다. 제작된 파장변환기는 BRS(Buried Ridge Structure)형 SOA와 수동 도파로를 butt-joint결합하여 단일 집적한 구조이다. 집적화 과정에서 높은 도파 손실을 발생시키는 p+ InP덮개층을 제거하고 무첨가 InP로 도파로 덮개층 및 전류 차단층을 동시에 형성시키는 새로운 방법을 이용하였고, 모듈 제작에서 경사진 도파로와 광섬유를 효율적으로 광 접속하기 위하여 경사진 광섬유 배열을 제작하여 사용하였다. 이와 같이 제작된 파장변환기 모듈을 이용하여 1535-1575 nm의 40 nm 대역폭에서 1 ㏈ 이하의 power penalty를 갖는 10 Gb/s 파장변환을 구현하였고, 특히 negative penalty를 갖는 파장변환을 성공적으로 구현함으로써 2R(re-amplification, re-shaping) 기능을 제공할 수 있음을 보였다.

ON 𝜙-SEMIPRIME SUBMODULES

  • Ebrahimpour, Mahdieh;Mirzaee, Fatemeh
    • 대한수학회지
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    • 제54권4호
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    • pp.1099-1108
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    • 2017
  • Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let S(M) be the set of all submodules of M and ${\phi}:S(M){\rightarrow}S(M){\cup}\{{\emptyset}\}$ be a function. We say that a proper submodule P of M is a ${\phi}$-semiprime submodule if $r{\in}R$ and $x{\in}M$ with $r^2x{\in}P{\setminus}{\phi}(P)$ implies that $rx{\in}P$. In this paper, we investigate some properties of this class of sub-modules. Also, some characterizations of ${\phi}$-semiprime submodules are given.

COHEN-MACAULAY MODULES OVER NOETHERIAN LOCAL RINGS

  • Bahmanpour, Kamal
    • 대한수학회보
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    • 제51권2호
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    • pp.373-386
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    • 2014
  • Let (R,m) be a commutative Noetherian local ring. In this paper we show that a finitely generated R-module M of dimension d is Cohen-Macaulay if and only if there exists a proper ideal I of R such that depth($M/I^nM$) = d for $n{\gg}0$. Also we show that, if dim(R) = d and $I_1{\subset}\;{\cdots}\;{\subset}I_n$ is a chain of ideals of R such that $R/I_k$ is maximal Cohen-Macaulay for all k, then $n{\leq}{\ell}_R(R/(a_1,{\ldots},a_d)R)$ for every system of parameters $a1,{\ldots},a_d$ of R. Also, in the case where dim(R) = 2, we prove that the ideal transform $D_m(R/p)$ is minimax balanced big Cohen-Macaulay, for every $p{\in}Assh_R$(R), and we give some equivalent conditions for this ideal transform being maximal Cohen-Macaulay.

Hitach-7600 P-module을 이용한 Methotrexate 정량분석 평가 (Quantitative Analysis of Methotrexate using Hitach-7600 P-module)

  • 김민의;차경호;김승희;김남주;채효진
    • 대한임상검사과학회지
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    • 제41권4호
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    • pp.167-172
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    • 2009
  • Methotrexate (MTX) in one of the antineoplastic drug and it is known to effective to management of acute lymphoblastic leukemia in children, management of choriocarcinoma and related trophoblastic tumors in women, management of carcinomas of the breast, tongue, pharynx, and tests, maintenance of remission in leukemia and treatment of serve, debilitating psoriasis. Intermediate to high-dose methotrexate administration followed by leucovorin rescue is effective in treatment of carcinoma of the lung and osteogenic sarcoma. Intrathecal administration is effective in treating meningeal leukemia or lymphoma. There are FPIA (Fluorescence polarization immunoassay) and EMIT (Enzyme multiplied immunotechique) methods that measure for MTX. We evaluated the FPIA and EMIT methods. MTX were measured by Hitachi-7600 P-module using EMIT and FPIA using TDX in the sera 60 patients. The performance characteristics evaluated were, light influence, linearity, comparison with FPIA. Also, precision evaluated were three level controls through put following CLSI evaluation protocols (EP10-A). When the MTX value of $4.16{\pm}5.78{\mu}{\mu}mol/L$ (mean, SD) by the Hitachi-7600 P-module was compared with that of $4.05{\pm}5.47{\mu}{\mu}mol/L$ by FPIA, coefficients of correlation of 0.988 was obtained. The regression equation was Y (Hitachi-7600 P-module) = 0.9408 x (FPIA) + 0.1316 (r=0.9885, n=60). CVs of MTX measured by Hitachi 7600 P-module was 6.78% at $0.33{\mu}{\mu}mol/L$, 0.96% at $1.16{\mu}{\mu}mol/L$, and 0.96% at $8.04{\mu}{\mu}mol/L$. The precision was excellent in each group. The linearity was acceptable. We evaluated that MTX is light-sensitive on prolonged exposure to direct sunlight. Comparing with the FPIA using TDX, the Hitachi-7600 P-module using EMIT showed good coefficient of correlation and precision. Therefore the Hitachi-7600 P-module can replace the FPIA for quantitative analysis of MTX.

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PV 모듈의 손실 저항 성분을 고려한 I-V 출력 모델링에 관한 연구 (Modelling of I-V Characteristics of PV module with resistance variation)

  • 홍종경;정태희;류세환;원창섭;강기환;안형근;한득영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.177-179
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    • 2008
  • This paper, we proposed the theoretical model which includes series resistance $R_s$ and shunt resistance $R_{sh}$ of single-crystalline PV module and used numerical method based on physics. Series resistance $R_s$ was derived from approach for p-n junction diode instead of established form obtained from the simulator with irradiance changes. Electrical output characteristics for PV modules to count the effect of $R_s$ were then studied. Finally simulation results were compared to experimental data leading to good agreement.

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GORENSTEIN-INJECTORS, GORENSTEIN-FLATORS

  • Gu, Qinqin;Zhu, Xiaosheng;Zhou, Wenping
    • 대한수학회지
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    • 제47권4호
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    • pp.691-704
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    • 2010
  • Over a ring R, let $P_R$ be a finitely generated projective right R-module. Then we define the G-injector (G-projector) if $P_R$ preservers Gorenstein injective modules (Gorenstein projective modules), the Gflator if $P_R$ preservers Gorenstein flat modules. G-injector (G-flator) and G-injector are characterized focus primarily on the cases where R is a Gorenstein ring, and under this condition we also study the relations between the injector (projector, flator) and the G-injector (G-projector, G-flator). Over any ring we also give the characteristics of G-injector (G-flator) by the Gorenstein injective (Gorenstein flat) dimensions of modules.

휴대용 환자 감시장치의 설계 (Design of a Portable Patient Monitor)

  • 김응석;이은평;길문종;이경중;윤형로
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1997년도 추계학술대회
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    • pp.407-410
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    • 1997
  • In this paper, we have designed a portable patient monitor that monitors both ECG and NIBP(Non-Invasive Blood Pressure) for a patient who is bring moved around inside a hospital. System hardware consists of the one-chip microcomputer(80c251), A/D converter, ROM, RAM, LCD diplsy, two channel ECG module and NIBP module. NIBP module was calibrated to the values found in NIBP analyzer. ECG module detects QRS complex and compute heart rate. NIBP module measures the blood pressure by oscilometric method.

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IEEE 802.11a OFDM System을 위한 파이프라인 구조 IFFT/FFT 모듈의 설계와 비교 (Design and Comparison of the Pipelined IFFT/FFT modules for IEEE 802.11a OFDM System)

  • 이창훈;김주현;강봉순
    • 한국정보통신학회논문지
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    • 제8권3호
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    • pp.570-576
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    • 2004
  • 본 논문에서는 고속 무선 LAN에서 사용하는 IEEE 802.11a OFDM(Orthogonal Frequency Division Multiplexing)에서 주요 구성인 IFFT/FFT(Inverse Fast Fourier Transform/Fast Fourier Transform)에 대한 설계에 대해 비교하였다. 설계된 IFFT/FFT는 무선 LAN의 표준에 맞게 64 point의 FFT로 연산을 수행하며, S/P(Serial-to-Parallel)이나 P/S(Parallel-to-Serial)변환기가 필요 없는 Pipelined FFT의 구조로 설계하였다. 그 중 Radix-2 알고리즘을 이용한 R22SDF(Radix-2 Single-path Delay Feedback) 방식, R2SDF(Radix-2 Single-path Delay Feedback) 방식과 Radix-4 알고리즘을 이용한 R4SDF(Radix-4 Single-path Delay Feedback) 방식, R4SDC(Radix-4 Single-path Delay Commutator) 방식을 사용하여 비교하였다. 하드웨어 구현 시 발생하는 오차를 줄이기 위해 Butterfly 연산 후 일부 소수점을 가지고 계산하는 구조로 설계하였다. R22SDF 방식을 이용할 경우 메모리를 제외한 전체 게이트 수가 44,747 개로 다른 구조에 비해 적은 하드웨어와 낮은 오차율을 가진다.