• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2000.11a
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• pp.546-552
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• 2000

Dynamic behavior of laminated composite plates undergoing moderately large deflection is investigated taking into account the viscoelastic behavior of material properties. Based on von Karman's non-linear deformation theory and Boltzmann's superposition principle, non-linear and hereditary type governing equations are derived. Finite element analysis and the method of multiple scales is applied to examine the effect of large amplitude on the dissipative nature of viscoelastic laminated plates.

• Communications of the Korean Mathematical Society
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• v.39 no.1
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• pp.59-69
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• 2024

Let R be a commutative ring. An R-module E is said to be regular injective provided that Ext¹_R(R/I, E) = 0 for any regular ideal I of R. We first show that the class of regular injective modules have the hereditary property, and then introduce and study the regular injective dimension of modules and regular global dimension of rings. Finally, we give some homological characterizations of total rings of quotients and Dedekind rings.

• 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)

• Journal of the Korean Mathematical Society
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• v.46 no.3
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• pp.657-673
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• 2009

The fixed point algebra $C^*(E)^{\gamma}$ of a gauge action $\gamma$ on a graph $C^*$-algebra $C^*(E)$ and its AF subalgebras $C^*(E)^{\gamma}_{\upsilon}$ associated to each vertex v do play an important role for the study of dynamical properties of $C^*(E)$. In this paper, we consider the stability of $C^*(E)^{\gamma}$ (an AF algebra is either stable or equipped with a (nonzero bounded) trace). It is known that $C^*(E)^{\gamma}$ is stably isomorphic to a graph $C^*$-algebra $C^*(E_{\mathbb{Z}}\;{\times}\;E)$ which we observe being stable. We first give an explicit isomorphism from $C^*(E)^{\gamma}$ to a full hereditary $C^*$-subalgebra of $C^*(E_{\mathbb{N}}\;{\times}\;E)({\subset}\;C^*(E_{\mathbb{Z}}\;{\times}\;E))$ and then show that $C^*(E_{\mathbb{N}}\;{\times}\;E)$ is stable whenever $C^*(E)^{\gamma}$ is so. Thus $C^*(E)^{\gamma}$ cannot be stable if $C^*(E_{\mathbb{N}}\;{\times}\;E)$ admits a trace. It is shown that this is the case if the vertex matrix of E has an eigenvector with an eigenvalue $\lambda$ > 1. The AF algebras $C^*(E)^{\gamma}_{\upsilon}$ are shown to be nonstable whenever E is irreducible. Several examples are discussed.

• Communications of the Korean Mathematical Society
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• v.35 no.3
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• pp.891-906
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• 2020

In this paper, the commutative module amenable Banach algebras are characterized. The hereditary and permanence properties of module amenability and the relations between module amenability of a Banach algebra and its ideals are explored. Analogous to the classical case of amenability, it is shown that the projective tensor product and direct sum of module amenable Banach algebras are again module amenable. By an application of Ryll-Nardzewski fixed point theorem, it is shown that for an inverse semigroup S, every module derivation of 𝑙¹(S) into a reflexive module is inner.

• Bulletin of the Korean Mathematical Society
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• v.41 no.3
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• pp.457-464
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• 2004

Let X be a Banach space and Z a closed subspace of a Banach space Y. Denote by Ｌ(X, Y) the space of all bounded linear operators from X to Y and by Ｋ(X, Y) its subspace of compact linear operators. Using Hahn-Banach extension operators corresponding to ideal projections, we prove that if either $X^{**}$ or $Y^{*}$ has the Radon-Nikodym property and Ｋ(X, Y) is an M-ideal (resp. an HB-subspace) in Ｌ(X, Y), then Ｋ(X, Z) is also an M-ideal (resp. HB-subspace) in Ｌ(X, Z). If Ｌ(X, Y) has property SU instead of being an M-ideal in Ｌ(X, Y) in the above, then Ｋ(X, Z) also has property SU in Ｌ(X, Z). If X is a Banach space such that $X^{*}$ has the metric compact approximation property with adjoint operators, then M-ideal (resp. HB-subspace) property of Ｋ(X, Y) in Ｌ(X, Y) is inherited to Ｋ(X, Z) in Ｌ(X, Z).

• Advances in nano research
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• v.10 no.4
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• pp.359-371
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• 2021

A tumor immune interaction is a main topic of interest in the last couple of decades because majority of human population suffered by tumor, formed by the abnormal growth of cells and is continuously interacted with the immune system. Because of its wide range of applications, many researchers have modeled this tumor immune interaction in the form of ordinary, delay and fractional order differential equations as the majority of biological models have a long range temporal memory. So in the present work, tumor immune interaction in fractional form provides an excellent tool for the description of memory and hereditary properties of inter and intra cells. So the interaction between effector-cells, tumor cells and interleukin-2 (IL-2) are modeled by using the definition of Caputo fractional order derivative that provides the system with long-time memory and gives extra degree of freedom. Moreover, in order to achieve more efficient computational results of fractional-order system, a discretization process is performed to obtain its discrete counterpart. Furthermore, existence and local stability of fixed points are investigated for discrete model. Moreover, it is proved that two types of bifurcations such as Neimark-Sacker and flip bifurcations are studied. Finally, numerical examples are presented to support our analytical results.

• Journal of Practical Agriculture & Fisheries Research
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• v.9 no.1
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• pp.13-25
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• 2007

The present study analyzed the spatial characteristics of S village according to the Feng-Shui theory(風水理論). People's life span is affected by several factors including hereditary constitution, dietary life and life habits but recently there is an opinion that longevity village in Korea are commonly located in areas at a proper altitude. The objective of the present study was to basic investigate the characteristics of S village from the viewpoint of Feng-Shui(風水). As for this study, it will be given help to a longevity village plan. For this purpose, we conducted field survey and map investigation of the natural geographic situation of S village focused on Ryong(龍, contiguous line of terrestrial stratum), Hull(穴, village location), Sa(砂, geographical feature of surrounding mountains), Su(水, water flow) and Hyang(向), which are Feng-Shui(風水) objects to be observed. According to the result of this research, S Village, which has mountains in the rear and a river in the front, was found to be in fine geographic situation equipped with Sashinsa(四神砂). According to the Feng-Shui theory(風水理論), the village was hang-ju-hyoung(行舟形), which means that people and properties flourish together. A shortcoming of the village was the absence of Ahnsan(案山) to block harmful winds blowing to the fore of the village. In addition, another shortcoming of the village in terms of Feng-Shui(風水) was the large variation of temperature because of its location surrounded by high mountains as if the village was situated inside a bowl. The Hyang(向) of village houses were arranged by the geographical feature and not by Feng-Shui(風水).

• Korean Journal of Heritage: History & Science
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• v.53 no.1
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• pp.64-87
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• 2020

The cultural property management system of Korea was established based on the modern cultural assets acts and the old imperial estate management system enacted during the Japanese occupation. Academics have researched the cultural property management system oriented on the modern cultural assets acts, but few studies have been conducted into the old imperial estate management system, which is another axis of the cultural property management system. The old imperial estate was separated from the feudal capital by the Kabo Reform, but was dismantled during the colonial invasion of Japan and managed as a hereditary property of the colonial royal family during the Japanese colonial period. After establishment of the government, the Imperial Estate Act was enacted in 1954 and defined the estate as a historical cultural property managed by the Imperial Estate Administration Office. At this time, imperial estate property that was designated as permanent preservation property was officially recognized as constituting state-owned cultural assets and public goods in accordance with Article 2 of the Act's supplementary provisions during 1963, when the first amendment to the Cultural Property Protection act was implemented. In conclusion, Korea's cultural property formation and cultural property management system were integrated into one unit from two different sources: modern cultural assets acts and the old imperial estate property management system. If the change of modern cultural assets acts was the process of regulating and managing cultural property by transplanting and applying regulations from Japan to colonial Joseon, the management of the imperial estate was a process by which the Japanese colonized the Korean Empire and disposed of the imperial estate. Independence and the establishment of the government of the Republic of Korea provided the opportunity to combine these two different streams into one. Finally, this integration was completed with the establishment of the Protection of Cultural Properties Act in 1962.