• Title/Summary/Keyword: extensions

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RING STRUCTURES CONCERNING FACTORIZATION MODULO RADICALS

  • Jin, Hai-Lan;Kim, Hong Kee;Lee, Yang
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1123-1139
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    • 2017
  • The aim in this note is to describe some classes of rings in relation to factorization by prime radical, upper nilradical, and Jacobson radical. We introduce the concepts of tpr ring, tunr ring, and tjr ring in the process, respectively. Their ring theoretical structures are investigated in relation to various sorts of factor rings and extensions. We also study the structure of noncommutative tpr (tunr, tjr) rings of minimal order, which can be a base of constructing examples of various ring structures. Various sorts of structures of known examples are studied in relation with the topics of this note.

Mail Auto-push Service System in an Internet Auction using MIME Protocol (MIME 프로토콜을 이용한 인터넷 경매 메일 자동 푸쉬 서비스 시스템)

  • 이근왕;이종희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.7B
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    • pp.1244-1252
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    • 2000
  • 현존하는 국내외 인터넷 경매시스템은 경매하고자하는 상품을 게시하고 그 상품에 대해 경매 입찰자들이 입찰(bid)을 제시함으로 해서 최종적으로 경매 시간 내에 가장 높은 입찰가를 제시하는 경매 입찰자에게 거래가 낙찰되는 형식이 사용되고 있다. 하지만 인터페이스 부분에 있어서 사용자의 편의성을 고려하지 않을 뿐만 아니라 경매 참여자에게 지속적인 입찰제시와 확인 등의 여러 가지의 사용자 행위를 요구하므로 전자상거래의 고객 편의를 위한 One-step processing을 만족시키지 못하고 있으며 사용자의 행위를 대신하여주는 에이전트를 이용한 자동 처리 부분은 거의 고려하지 않은 시스템이므로 사용자의 편의성 면에서 단점을 가지고 있다. 따라서 본 논문에서는 자동적으로 사용자를 위해 입찰 행위를 대신하여 주는 사용자 입찰 가격 전략 알고리즘을 제안하여 기존에 사용되었던 일반적인 경매 시스템의 단점을 보완하여 효율적인 입찰 가격 정책을 이용하며 또한, 모든 일련의 경매에 대한 사용자 행위를 MIME(Multipurpose Internet Mail Extensions) 프로토콜을 이용한 메일 양식에 응답만으로 모든 경매 서비스를 받을 수 있는 인터넷 경매 시\ulcorner템을 설계 및 구현하고자 한다.

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ON WEAKLY LOCAL RINGS

  • Piao, Zhelin;Ryu, Sung Ju;Sung, Hyo Jin;Yun, Sang Jo
    • Korean Journal of Mathematics
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    • v.28 no.1
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    • pp.65-73
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    • 2020
  • This article concerns a property of local rings and domains. A ring R is called weakly local if for every a ∈ R, a is regular or 1-a is regular, where a regular element means a non-zero-divisor. We study the structure of weakly local rings in relation to several kinds of factor rings and ring extensions that play roles in ring theory. We prove that the characteristic of a weakly local ring is either zero or a power of a prime number. It is also shown that the weakly local property can go up to polynomial (power series) rings and a kind of Abelian matrix rings.

Extensions on The Fixed Weighting Nature of Cross-Evaluation Model (교차 평가 모델의 고정 가중치 유형의 확장 연구)

  • Choi, Sung-Kyun;Yang, Jae-Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.1
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    • pp.188-197
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    • 2012
  • DEA 모델중 널리 사용되는 교차평가모델(cross efficiency model)은 가중치에 제한을 두지 않고 어떤 특정분야에 탁월한 성과를 내는 DMU(Decision Making Unit)보다는 보다 전반적인 분야에서 두각을 나타내는 DMU를 선발함으로써 많은 연구자들이 DEA문헌에서 적용하여 왔다. 본 연구에서는 이러한 교차평가모델이 실제에 있어서는 암묵적으로 고정 가중치를 사용한다는 것과 동일한 결과를 나타낸다는 것을 분석적으로 밝혔다(one input, multi output case). 또한 multi-input, multi-output case의 경우에도 overall performer의 cluster에 근접한 대다수 DMU의 경우에는 고정 가중치를 사용한 경우와 거의 차이가 없음을 보였다. 교차평가 모델에 적용된 변수의 가중치를 보다 명확히 함으로써 연구자들이 모델의 평가결과를 이해하는데 도움이 될 수 있을 것이다. 또한 교차 평가의 가중치 도식을 더 명확히 보여주기 위해 biplot을 제안한다.

The Incomplete Lauricella Functions of Several Variables and Associated Properties and Formulas

  • Choi, Junesang;Parmar, Rakesh K.;Srivastava, H.M.
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.19-35
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    • 2018
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [30] and the second Appell function [6], we introduce here the incomplete Lauricella functions ${\gamma}^{(n)}_A$ and ${\Gamma}^{(n)}_A$ of n variables. We then systematically investigate several properties of each of these incomplete Lauricella functions including, for example, their various integral representations, finite summation formulas, transformation and derivative formulas, and so on. We provide relevant connections of some of the special cases of the main results presented here with known identities. Several potential areas of application of the incomplete hypergeometric functions in one and more variables are also pointed out.

First Report of Two Species of Mantid Shrimps (Stomatopoda: Squilloidea: Squillidae) from Korean Waters

  • Kang, Jung-Ha;Lee, Seok Hyun;Ko, Hyun Sook
    • Animal Systematics, Evolution and Diversity
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    • v.32 no.3
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    • pp.234-239
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    • 2016
  • Two species of mantid shrimps were collected from southern part of Korea and identified as Kempella mikado and Squilloides leptosquilla of the Squillidae. The former species is characterized by having a dactylus of the raptorial claw with six teeth, only the fifth thoracic somite with a single spinous lateral process, and the fifth abdominal somite with a pair of black dorsal patches. However, the latter species is characterized by having a dactylus of the raptorial claw with four teeth, and the fifth to seventh thoracic somites each with a single lateral process. Both species are described with figures and photographs. The present records are extensions of their geographical distributions and new records in Korea. Hence, a total of six species of the stomatopods have been recorded in Korea up to date: Oratosquilla oratoria, Faughnia formosae, Taku spinosocarinatus, Chorisquilla spinosissima, Kempella mikado, and Squilloides leptosquilla.

ON STRONGLY 2-PRIMAL RINGS

  • Hwang, Seo-Un;Lee, Yang;Park, Kwang-Sug
    • Honam Mathematical Journal
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    • v.29 no.4
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    • pp.555-567
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    • 2007
  • We first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal. Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an example we show that if R is a ring and M is a multiplicative monoid in R consisting of central regular elements, then R is strongly 2-primal if and only if so is $RM^{-1}$. Various properties of (strongly) 2-primal rings are also studied.

Performance Evaluation of Real-time Mechanisms for Real-time Embedded Linux (실시간 임베디드 리눅스의 실시간 메커니즘 성능 분석)

  • Koh, Jae-Hwan;Choi, Byoung-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.337-342
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    • 2012
  • This paper presents performance evaluation of real-time mechanisms for real-time embedded linux. First, we presents process for implementing open-source real-time embedded linux namely RTAI and Xenomai. These are real-time extensions to linux kernel and we implemented real-time embedded linux over the latest linux kernel. Measurements of executions of real-time mechanisms for each distribution are performed to give a quantitative comparison. Performance evaluations are conducted in kernel space about repeatability of periodic task, response time of Semaphore, FIFO, Mailbox and Message queue in terms of inter-task communication for each distribution. These rules can be helpful for deciding which real-time linux extension should be used with respect to the requirements of the real-time applications.

Hydrocarbon Enthalpies of Formation from ab initio Calculations Improved Through Bond Parameters (향상된 결합 파라미터를 도입한 순이론적 탄화수소 생성엔탈피 결정)

  • Duchowicz, P.;Castro, E.A.
    • Journal of the Korean Chemical Society
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    • v.43 no.6
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    • pp.621-627
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    • 1999
  • A new predictive scheme to calculate hydrocarbon enthalpies of formation from ab initio total energy calculations is described. The method improves a previous computation procedure (based on the total number of atoms) through the inclusion of bond parameters. Present results are good enough and the average absolute errors in the computed values of enthalpies of formation are lower than the experimental uncertainties. Some possible extensions are pointed out in order to reach definitive conclusions about the proposed methodology.

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Parallel computation for transcendental structural eigenproblems

  • Kennedy, D.;Williams, F.W.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.635-644
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    • 1997
  • The paper reviews the implementation and evaluation of exact methods for the computation of transcendental structural eigenvalues, i.e., critical buckling loads and natural frequencies of undamped vibration, on multiple instruction, multiple data parallel computers with distributed memory. Coarse, medium and fine grain parallel methods are described with illustrative examples. The methods are compared and combined into hybrid methods whose performance can be predicted from that of the component methods individually. An indication is given of how performance indicators can be presented in a generic form rather than being specific to one particular parallel computer. Current extensions to permit parallel optimum design of structures are outlined.