• Title/Summary/Keyword: property (E.A)

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RINGS WITH THE SYMMETRIC PROPERTY FOR IDEMPOTENT-PRODUCTS

  • Han, Juncheol;Sim, Hyo-Seob
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.615-621
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    • 2018
  • Let R be a ring with the unity 1, and let e be an idempotent of R. In this paper, we discuss some symmetric property for the set $\{(a_1,a_2,{\cdots},a_n){\in}R^n:a_1a_2{\cdots}a_n=e\}$. We here investigate some properties of those rings with such a symmetric property for an arbitrary idempotent e; some of our results turn out to generalize some known results observed already when n = 2 and e = 0, 1 by several authors. We also focus especially on the case when n = 3 and e = 1. As consequences of our observation, we also give some equivalent conditions to the commutativity for some classes of rings, in terms of the symmetric property.

A Study on the Protection of New Intellectual Property Rights Focusing on E-commerce (전자상거래 관련 한국기업의 신지식재산권 보호방안)

  • Lee, Seung-Young;Cho, Myung-Ja
    • International Commerce and Information Review
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    • v.10 no.3
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    • pp.291-313
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    • 2008
  • As digital economy has dramatically evolved, new intellectual property rights protection has emerged as a pivotal issue which companies need to actively restxnid to. At the new digital era, the possession of new intellectual property rights determines the company values, and thus the protection of new intellectual property rights is getting more importance in the dimension of global competitiveness. The paper analyzes the changing aspect of digital economy and e-commerce paradigm, and explores the protection plan of new intellectual property rights focusing on e-commerce and digital goods transaction so that it can help the companies to strengthen their global competitiveness. After various case studies, we can find out that even though the companies have difficulty in settling out the strategies and policy due to the radical change of cycle in internet-centered digital economy, companies need to establish the systemic strategic plan to protect the new intellectual property rights stage by stage. Also, appropriate legal, institutional basis to protect the new intellectual property rights should be rearranged. The unsloved problems which relates with the protection of new intellectual property rights will be left for next research project.

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Fixed Point Theorems in Product Spaces

  • Bae, Jong Sook;Park, Myoung Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.6 no.1
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    • pp.53-57
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    • 1993
  • Let E and F be Banach spaces with $X{\subset}E$ and $Y{\subset}F$. Suppose that X is weakly compact, convex and has the fixed point property for a nonexpansive mapping, and Y has the fixed point property for a multivalued nonexpansive mapping. Then $(X{\oplus}Y)_p$, $1{\leq}$ P < ${\infty}$ has the fixed point property for a multi valued nonexpansive mapping. Furthermore, if X has the generic fixed point property for a nonexpansive mapping, then $(X{\oplus}Y)_{\infty}$ has the fixed point property for a multi valued nonexpansive mapping.

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Hybrid Qualitative Reasoning Approach to Predicting the Expected Performance of the Intellectual Property Rights Management System- KIPONet Case (전자정부 홍보를 위한 ARP(Academic Research Paper) 사례(특허, 조달) 소개)

  • Lee, Kun-Chang
    • 한국IT서비스학회:학술대회논문집
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    • 2007.11a
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    • pp.145-156
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    • 2007
  • In the previous e-government studies, there was no study in which the ambitious problem of assessing the expected performance of an e-government software when it is adopted in other country. This study was motivated to propose a new method to resolve this research question. With using the KIPONet (Korean Intellectual Property Office Net) as a target e-government software, which has been successfully implemented and operated by the Republic of Korea government since Jan 1999 for the purpose of managing the intellectual property rights (IPRs), we propose a Hybrid Qualitative Reasoning (HQR) approach to predicting the expected performance of the KIPONet. The main recipes of the HQR are that the HQR considers causal relationships existing among both qualitative and quantitative variables of the KIPONet, and that uncertainties embedded in some variables are handled by using Monte Carlo mechanism. The application of the proposed HQR to predicting the expected performance of the KIPONet results in statistically significant outcomes with 95% confidence level.

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COMMON FIXED POINT THEOREMS FOR GENERALIZED 𝜓∫𝜑-WEAKLY CONTRACTIVE MAPPINGS IN G-METRIC SPACES

  • Kim, Jong Kyu;Kumar, Manoj;Bhardwaj, Preeti;Imdad, Mohammad
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.565-580
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    • 2021
  • In this paper, first of all we prove a fixed point theorem for 𝜓∫𝜑-weakly contractive mapping. Next, we prove some common fixed point theorems for a pair of weakly compatible self maps along with E.A. property and (CLR) property. An example is also given to support our results.