• Title/Summary/Keyword: PS-module

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ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES

  • Zhao, Renyu;Liu, Zhongkui
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.445-456
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    • 2008
  • Let M be a right R-module, G an ordered group and ${\sigma}$ a map from G into the group of automorphisms of R. The conditions under which the Malcev-Neumann module M* ((G)) is a PS module and a p.q.Baer module are investigated in this paper. It is shown that: (1) If $M_R$ is a reduced ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) over a PS-module is also a PS-module; (2) If $M_R$ is a faithful ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) is a p.q.Baer module if and only if the right annihilator of any G-indexed family of cyclic submodules of M in R is generated by an idempotent of R.

Principally Small Injective Rings

  • Xiang, Yueming
    • Kyungpook Mathematical Journal
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    • v.51 no.2
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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.

Rings Whose Simple Singular Modules are PS-Injective

  • Xiang, Yueming;Ouyang, Lunqun
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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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.

Design of Module for Assembling DSM-CC PS Packet from MPEG-2 TS (MPEG-2 TS로부터 DSM-CC PS 패킷을 추출하여 재구성하는 모듈 설계)

  • Lee, hyung
    • Proceedings of the Korea Contents Association Conference
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    • 2010.05a
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    • pp.393-395
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    • 2010
  • 본 논문은 PID 필터링된 MPEG-2 TS 데이터로부터 DSM-CC PS 패킷을 추출하여 원래의 섹션으로 구성한 후 이더넷 프레임으로 재구성하는 모듈에 전송하는 패킷변환모듈을 위한 하드웨어 모듈 설계를 제안한다. 제안된 모듈은 ALTERA 사의 IP를 토대로 수정하고 보완한 것으로써 하드웨어 기술언어인 Verilog를 이용하여 설계하였으며 모의실험을 통해 결과를 검증하였다.

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ALMOST PRINCIPALLY SMALL INJECTIVE RINGS

  • Xiang, Yueming
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1189-1201
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    • 2011
  • Let R be a ring and M a right R-module, S = $End_R$(M). The module M is called almost principally small injective (or APS-injective for short) if, for any a ${\in}$ J(R), there exists an S-submodule $X_a$ of M such that $l_Mr_R$(a) = Ma $Ma{\bigoplus}X_a$ as left S-modules. If $R_R$ is a APS-injective module, then we call R a right APS-injective ring. We develop, in this paper, APS-injective rings as a generalization of PS-injective rings and AP-injective rings. Many examples of APS-injective rings are listed. We also extend some results on PS-injective rings and AP-injective rings to APS-injective rings.

Implementation of DEMUX Constructing IP Packet from MPEG-2 TS (MPEG-2 TS로부터 IP 패킷을 구성하는 역다중화기 구현)

  • Lee, Hyung
    • The Journal of the Korea Contents Association
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    • v.10 no.8
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    • pp.59-65
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    • 2010
  • This paper proposes an implementation of a hardware module for transmitting MPEG-2 TS data over the internet protocol (IP)-based network. This implementation consists of two modules; one is an encapsulation module which bridges between n TS packets, where $1\;{\leq}\;n\;{\leq}\;7$, and an IP packets, the other is a packet conversion module which extracts an DSM-CC PS packet from consecutive TS packets and then reconstructing an IP packet. So, these IP packets are carried over 150 megabits per second. Although overall work flow of the proposed DeMUX is based on the reference design of ALTERA, the DeMUX is enhanced by modifying it and performs more functions by adding a packet conversion module. The DeMUX is described by Verilog-HDL (hardware description language) and shows the faithful functionality and throughput through the simulation.

K-Grid Integrated Data Modeling and Data Exchange Protocol Design and Evaluation (K-Grid 통합 노드 데이터 모델링 및 정보교환 프로토콜 설계와 시험)

  • Choi, Jung-In
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.25 no.12
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    • pp.119-131
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    • 2011
  • To be integrated into the IEC 61970-based K-Grid, application of open communication protocol and sub-system modeling to major nodes is needed. In this paper, a module which links load nodes in customers to CIM based on psXML/oBIX, one of open protocols, was developed and data modeling and communication protocols of IEC 61850-7-42 based DER and ESS which apply the module to the customers who have DER and ESS were designed. Also the XML-based distributed database middleware was designed. The proposed modeling and protocols were applied to the building in which commercial DER products and the effectiveness of the proposed data modeling and the communication protocol were evaluated.

Optical Clock Recovery from RZ and NRZ data using a Multi-Section Laser Diode with a DFB Reflector (DFB 반사기가 집적된 다중전극 레이저 다이오드를 이용한 RZ 및 NRZ 데이터 신호의 광클럭 재생)

  • Jeon, Min-Yong;Leem, Young-Ahn;Kim, Dong-Churl;Sim, Eun-Deok;Kim, Sung-Bock;Park, Kyung-Hyun;Yee, Dae-Su
    • Korean Journal of Optics and Photonics
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    • v.17 no.1
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    • pp.68-74
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    • 2006
  • We have extracted an optical clock signal from a return-to-zero(RZ) pseudorandom bit sequence(PRBS) and non-return-to-zero(NRZ) PRBS data in a pulsation multi-section laser diode with DFB reflector. The ms timing jitter achieved less than 1 ps for the input 11.727 Gbit/s RZ PRBS and NRZ PRBS data. The PRE data wasconverted from the NRZ data using an NRZ to pseudo-return to zero(PRZ) converter module. The optical clock was extracted from the PRZ data which contains the clock components. Although the input PRZ data gives a timing jitter of 2 ps, the extracted clock has timing jitter of ${\~}$1 ps.

Implementation of u-Healthcare Security System by applying High Speed PS-LFSR (고속 병렬형 PS-LFSR을 적용한 u-헬스케어 보안 시스템 구현)

  • Kim, Nack-Hyun;Lee, Young-Dong;Kim, Tae-Yong;Jang, Won-Tae;Lee, Hoon-Jae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.1
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    • pp.99-106
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    • 2011
  • The emerging of ubiquitous computing and healthcare technologies provides us a strong platform to build sustainable healthcare applications especially those that require real-time information related to personal healthcare regardless of place. We realize that system stability, reliability and data protection are also important requirements for u-healthcare services. Therefore, in this paper, we designed a u-healthcare system which can be attached to the patient's body to measure vital signals, enhanced with USN secure sensor module. Our proposed u-healthcare system is using wireless sensor modules embedded with NLM-128 algorithm. In addition, PS-LFSR technique is applied to the NLM-128 algorithm to enable faster and more efficient computation. We included some performance statistical results in term of CPU cycles spent on NLM-128 algorithm with and without the PS-LFSR optimization for performance evaluation.