• Communications of the Korean Mathematical Society
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• v.38 no.1
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• pp.243-256
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• 2023

We deal with a type of inverse pseudo-orbit tracing property with respect to the class of continuous methods, as suggested and studied by Pilyugin [54]. In this paper, we consider a continuous method induced through the diffeomorphism of a compact smooth manifold, and using the concept, we proved the following: (i) If a diffeomorphism f of a compact smooth manifold M has the robustly pointwise inverse pseudoorbit tracing property, f is structurally stable. (ii) For a C1 generic diffeomorphism f of a compact smooth manifold M, if f has the pointwise inverse pseudo-orbit tracing property, f is structurally stable. (iii) If a diffeomorphism f has the robustly pointwise inverse pseudo-orbit tracing property around a transitive set Λ, then Λ is hyperbolic for f. Finally, (iv) for C¹ generically, if a diffeomorphism f has the pointwise inverse pseudo-orbit tracing property around a locally maximal transitive set Λ, then Λ is hyperbolic for f. In addition, we investigate cases of volume preserving diffeomorphisms.

• Journal of Korean Institute of Industrial Engineers
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• v.41 no.6
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• pp.559-571
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• 2015

To strengthen competences, most of firms have co-operated with external partners. This increases the possibility of unexpected conflicts between firms due to the intellectual property litigation. A suitable intellectual property strategy for firms has to be developed to settle this issue. This study aims to analyze an utilization of intellectual property strategy in firms, and tries to suggest a concept of IP roadmap to support intellectual property strategy planning aligned with technology planning process. For the purposes, we derive five types of intellectual property strategy of firms using Korea Innovation Survey. Then, we explore significant affecting factors using a decision-tree and conduct in-depth analysis for them. Lastly, we suggest a concept of IP roadmap, which can be a supporting tool for developing intellectual property strategy in firms, based on analysis results.

• Journal of Arbitration Studies
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• v.21 no.2
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• pp.27-46
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• 2011

In the intellectual based society of the 21th century, intellectual property of nation and enterprise management has been the key element of nation's competitiveness and development. Therefore in countries like Korea, China, and many other countries, intellectual property of advancement strategy are being constructed and intellectual properties are protected at national level. Top priority task of protecting the intellectual property is to efficiently resolute intellectual property right disputes. Considering the nature of intellectual property right and arbitrage system, arbitration to solve intellectual property disputes is realistically the best method. However, not all cases of them are qualified. In order to relieve the intellectual property disputes through arbitration, qualification must be obtained. During the process, generally and globally, intellectual property right dispute is evaluated by three parts, intellectual property right contract dispute, intellectual property right violation dispute, and intellectual property right validity dispute. Based on UN's "Convention on the Recognition and Enforcement of Foreign Arbitral Awards Agreement" in 1958, June 10th, in New York, both arbitrage organization and judgment can be approved in both Korea and China countries. However, as of today, there is a big gap of arbitration qualification between two countries, which can be troublesome if intellectual property right disputes arise. For instance, in Korea, intellectual property right contract disputes and intellectual property right violation disputes are both generally accepted as arbitration qualification. However for intellectual property right validity dispute, arbitration qualification is only accepted for non-registered intellectual property as in copyright entity. It does not apply to other registered intellectual property right as in patents. In China, arbitration qualification is accepted for intellectual property right contract dispute, and also accepted for intellectual property right violation dispute to copyrights but restricted to others. As for intellectual property right validity dispute, arbitration qualification is completely denied. Therefore, when there is an intellectual property right dispute between Korea and China, the biggest problem is whether China will accept arbitrage judgments made in Korea. Theoretically, arbitrage judgement made in Korea should be also accepted in China's court. However, considering the criticism of China's passive nature of arbitration qualification for its own local intellectual property right disputes, it's very unlikely they'll actively accept arbitrary judgment made in foreign countries. Korea and China must have a more open minded approach for intellectual property disputes and arbitration qualification. Base on WTO's Intellectual Property Right Agreement, it's being defined as private right. Therefore, sovereign principle should be the basic principle of solving intellectual property right disputes. Currently, arbitration qualification is expanding internationally. So both Korea and China must also follow the trend expand the arbitration qualification with a more open minded and forward looking approach, for the good of intellectual property disputes.

• Communications of the Korean Mathematical Society
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• v.9 no.2
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• pp.293-298
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• 1994

It is well known that the approximation property and the compact approximation property are not hereditary properties; that is, a closed subspace M of a Banach space X with the (compact) approximation property need not have the (compact) approximation property. In 1973, A. Davie [2] proved that for each 2 < p < $\infty$, there is a closed subspace $Y_{p}$ of $\ell_{p}$ which does not have the approximation property. In fact, the space Davie constructed even fails to have a weaker property, the compact approximation property. In 1991, A. Lima [12] proved that if X is a Banach space with the approximation property and a closed subspace M of X is locally $\lambda$-complemented in X for some $1\leq\lambda < $\infty$, then M has the approximation property.(omitted)

• Communications for Statistical Applications and Methods
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• v.13 no.1
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• pp.135-140
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• 2006

The paper by Paik (1985) introduced a structural property of the designs which was related to the concordance matrix $NN^{t}$ of the design. This special property was termed Property-C. The designs which have Property-C need not calculation of the generalize inverse of C matrix for solution of reduced normal equation. Paik also mentioned that some block designs belong to Property-C. This paper show the Extended Group Divisible designs defined by Hinkelmann (1964) are included in Property-C.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.785-794
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• 2022

In this paper we show that if A ∈ L(X) and R ∈ L(X) is a quasinilpotent operator commuting with A then X_A(F) = X_A+R(F) for all subset F ⊆ ℂ and 𝜎_loc(A) = 𝜎_loc(A + R). Moreover, we show that A and A + R share many common local spectral properties such as SVEP, property (C), property (𝛿), property (𝛽) and decomposability. Finally, we show that quasisimility preserves local spectrum.

• Bulletin of the Korean Mathematical Society
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• v.52 no.2
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• pp.505-511
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• 2015

In this paper, we investigate relationships among property ($k-{\beta}$), weak property (${\beta}_k$), k-nearly uniformly convexity and property ($A_k$).

• KIEAE Journal
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• v.7 no.5
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• pp.115-120
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• 2007

The purpose of the study is to establish a concept of property development planning process and factors by analyzing the several case studies, which prior proposed the highest and best use development of property. The value of property is dependent on the circumstances and the timing. Real property development is essential to develop in the highest and the best. The prior concepts of the highest and best use focused on the real estate appraisal, but these studies aroused an interest that related the highest and best use concept as a determinant of property development. As a results, this study suggests the process and the check points of property development planning phase. The first step is having a thorough grasp of the status of property. The Second step is the circumstantial analysis including legal restriction, locational environment, real estate market and economic conditions. The next step is, in accordance with these analysis, setting up the development concept and alternatives. Through the feasibility studies, we can make a choice the highest and best use development plan. In these days, the importance of development strategies such as design exceptionality and plan management are increased. Therefore, the integrated plan for the property development is very important.

• Honam Mathematical Journal
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• v.45 no.3
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• pp.397-409
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• 2023

Let R be an associative ring with identity and M be a left R-module. In this paper, we define modules that have the property (δ-CE) ((δ-CEE)), these are modules that have a δ-supplement (ample δ-supplements) in every cofinite extension which are generalized version of modules that have the properties (CE) and (CEE) introduced in [6] and so a generalization of Zöschinger's modules with the properties (E) and (EE) given in [23]. We investigate various properties of these modules along with examples. In particular we prove these: (1) a module M has the property (δ-CEE) if and only if every submodule of M has the property (δ-CE); (2) direct summands of a module that has the property (δ-CE) also have the property (δ-CE); (3) each factor module of a module that has the property (δ-CE) also has the property (δ-CE) under a special condition; (4) every module with composition series has the property (δ-CE); (5) over a δ-V -ring a module M has the property (δ-CE) if and only if M is cofinitely injective; (6) a ring R is δ-semiperfect if and only if every left R-module has the property (δ-CE).

• Journal of the Chungcheong Mathematical Society
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• v.13 no.1
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• pp.53-63
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• 2000

The inverse shadowing property of a dynamical system is an "inverse" form of the shadowing property of the system. Recently, Kloeden and Ombach proved that if an expansive system on a compact manifold has the shadowing property then it has the inverse shadowing property. In this paper, we study topological stability of the inverse shadowing dynamical systems. In particular, we show that if an expansive system on a compact manifold has the inverse shadowing property then it is topologically stable, and so it has the shadowing property.