• The Journal of the Korea Contents Association
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• v.13 no.1
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• pp.175-185
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• 2013

The judgement which is subject of research has denied legal rescission of division of the inherited property by agreement based on (1) the fact that the division of inherited property terminated at the time of concluding mutual agreement in its nature while only the relationship of claim and obligation between the inheritor who has paid for such obligation and the inheritor who has acquired such obligation in the mutual agreement remains (2) and the fact that the legal stability is considerably hindered as the re-partition of inherited property having retroactive effect becomes unavoidable in case of approving the legal rescission of the division of the inherited property by agreement. But it is reasonable to also approve legal rescission on the division of the inherited property by agreement in case the division by agreement actually has the nature such as conditional donation between joint heirs (1) from the fact that the division of the inherited property by agreement gets the nature of disposal equivalent to exchange, transfer and abandonment of share between joint heirs in actuality, (2) and the fact that there are no other theories in approving the validity of mutually agreed rescission despite the fact that the re-partition of inherited property having retroactive effect is unavoidable even in case of the mutually agreed rescission of the division by agreement among all joint heirs. However, as the division of the inherited property by agreement is a contract that gets concluded only if all joint heirs participate, even the legal rescission for the reason of not fulfilling the obligations paid by one party of the heirs during the division by agreement must be considered as possible only by expression of intentions from all other joint heirs excluding this one party.

• 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).

• Bulletin of the Korean Mathematical Society
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• v.48 no.1
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• pp.183-195
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• 2011

In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on non-transitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.

• Kyungpook Mathematical Journal
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• v.59 no.3
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• pp.391-401
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• 2019

A module is said to be ${\pi}$-extending provided that every projection invariant submodule is essential in a direct summand of the module. In this article, we focus on the class of modules having the ${\pi}$-extending property by looking at the singularity of quotient submodules. By doing so, we provide counterexamples, using hypersurfaces in projective spaces over complex numbers, to show that being generalized ${\pi}$-extending is not inherited by direct summands. Moreover, it is shown that the direct sums of generalized ${\pi}$-extending modules are generalized ${\pi}$-extending.

• Journal of the Korea Society of Computer and Information
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• v.20 no.1
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• pp.137-142
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• 2015

In the object inheritance of SR DEVS, partial or overall asset inheritance can be possible. To a asset inherited from parent object, by respective dedicated function a child object can implement partial or whole asset, or not. Even though a child has a inherited asset, if the asset is the hidden property its implementation will not be provided. A inherited asset cannot be showed in whole asset implementation, or it can be implemented by special system state. Here, the whole asset implementation means may include time parameter. In this paper, we describe a determination probability scheme for partial or whole asset inherited from the parent object to determine the hidden inheritance. By the determination probability function it is decided that the inherited asset will be hidden or normal asset.

• Korean Journal of Mathematics
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• v.5 no.1
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• pp.9-16
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• 1997

In this paper, we construct new classes from the idea of [6, Theorem 2.1] and show that the property of operators belonging to the classes is inherited by certain dilations. And we also prove that the existence of common noncyclic vectors for certain families is equivalent to the existence of infinite dimensional common semi-invariant subspace of operators.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.50 no.7
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• pp.350-353
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• 2001

In general, the Least Square Error method is used for signal classification to measure distance in the $l^2$ metric or the $L^2$ metric space. A defect of the Least Square Error method is that it does not classify properly some waveforms, which is due to the property of the Least Square Error method: the global analysis. This paper proposes a new linear operator, the Integra-Normalizer, that removes the problem. The Integra-Normalizer possesses excellent property that measures the degree of relative similarity between signals by expanding the functional space with removing the restriction on the functional space inherited by the Least Square Error method. The Integra-Normalizer shows superiority to the Least Square Error method in measuring the relative similarity among one dimensional waveforms.

• Bulletin of the Korean Mathematical Society
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• v.48 no.4
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• pp.779-789
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• 2011

In this paper we study the Banach space $L^1$(G) of real valued measurable functions which are integrable with respect to a vector measure G in the sense of D. R. Lewis. First, we investigate conditions for a scalarly integrable function f which guarantee $f{\in}L^1$(G). Next, we give a sufficient condition for a sequence to converge in $L^1$(G). Moreover, for two vector measures F and G with values in the same Banach space, when F can be written as the integral of a function $f{\in}L^1$(G), we show that certain properties of G are inherited to F; for instance, relative compactness or convexity of the range of vector measure. Finally, we give some examples of $L^1$(G) related to the approximation property.

• 보존과학연구
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• s.19
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• pp.35-60
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• 1998

Cultural properties are valuable objects, which have exposed insevere environment and inherited for a long time but we don’t have correct information concerning materials, structure and skill of manufacture. Because the cultural properties have been destroyed by the deterioration elements as like wind, this must be carefully treated for investigation of exhibition and storage. Even if the observation is scientific research, we must not take actual sample from the object for obtaining information concerning the nature materials and skill of manufacture. so it is elementary principle to use non-destructive investigation method as analytical methods for cultural property. This contribution discusses the present condition and problem of X-ray fluorescence acting as a representative non-destructive investigation method and the difference of statistics to be connected with determination and finally explains the intend facts for analysis of data.

• Bulletin of the Korean Mathematical Society
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• v.59 no.2
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• pp.453-468
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• 2022

In this article, we define a module M to be G^z-extending if and only if for each z-closed submodule X of M there exists a direct summand D of M such that X ∩ D is essential in both X and D. We investigate structural properties of G^z-extending modules and locate the implications between the other extending properties. We deal with decomposition theory as well as ring and module extensions for G^z-extending modules. We obtain that if a ring is right G^z-extending, then so is its essential overring. Also it is shown that the G^z-extending property is inherited by its rational hull. Furthermore it is provided some applications including matrix rings over a right G^z-extending ring.