• Kyungpook Mathematical Journal
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• v.53 no.1
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• pp.25-35
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• 2013

In this paper, we introduce and study the concept of "strongly $t$-linked extensions", which is a stronger version of $t$-linked extensions of integral domains. We show that for an extension of Pr$\ddot{u}$fer $v$-multiplication domains, this concept is equivalent to that of "$w$-faithfully flat".

• Journal of the Korean Mathematical Society
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• v.54 no.5
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• pp.1457-1482
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• 2017

Let S and R be rings and $_SC_R$ a (faithfully) semidualizing bimodule. We introduce and study C-weak flat and C-weak injective modules as a generalization of C-flat and C-injective modules ([21]) respectively, and use them to provide additional information concerning the important Foxby equivalence between the subclasses of the Auslander class ${\mathcal{A}}_C$ (R) and that of the Bass class ${\mathcal{B}}_C$ (S). Then we study the stability of Auslander and Bass classes, which enables us to give some alternative characterizations of the modules in ${\mathcal{A}}_C$ (R) and ${\mathcal{B}}_C$ (S). Finally we consider an open question which is closely relative to the main results ([11]), and discuss the relationship between the Bass class ${\mathcal{B}}_C$(S) and the class of Gorenstein injective modules.

• Journal of the Korean Mathematical Society
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• v.58 no.6
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• pp.1311-1325
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• 2021

One says that a ring homomorphism R → S is Ohm-Rush if extension commutes with arbitrary intersection of ideals, or equivalently if for any element f ∈ S, there is a unique smallest ideal of R whose extension to S contains f, called the content of f. For Noetherian local rings, we analyze whether the completion map is Ohm-Rush. We show that the answer is typically 'yes' in dimension one, but 'no' in higher dimension, and in any case it coincides with the content map having good algebraic properties. We then analyze the question of when the Ohm-Rush property globalizes in faithfully flat modules and algebras over a 1-dimensional Noetherian domain, culminating both in a positive result and a counterexample. Finally, we introduce a notion that we show is strictly between the Ohm-Rush property and the weak content algebra property.

• Bulletin of the Korean Mathematical Society
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• v.50 no.3
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• pp.719-725
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• 2013

A domain is called an LPI domain if every locally principal ideal is invertible. It is proved in this note that if D is a LPI domain, then D[X] is also an LPI domain. This fact gives a positive answer to an open question put forward by D. D. Anderson and M. Zafrullah.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.17 no.3
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• pp.213-224
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• 1992

An encoding technique based on region splitting and vector quantization is proposed for the lower level Laplacian pyramid images. The lower level Laplacian pyramid images have lower variance than higher levels but a great influence on compression ration due to large spatial area. And so from data compression viewpoint, we subdivide them with variance thresholding into two regions such as one called : flat region” and the other “edge region”, and encode the flat region with its mean value and the edge region as vector quantization method. The edge region can be reproduced faithfully and significant improvement on compression ratio can be accomplished with a little degradation of PSNR in spite of the effect of large flat region since the codebook used is generated from the edge region only on from the entire image including the flat region. It can be verified by computer simulation results that proposed method is more efficient in compression ratio and processing time than the conventional encoding technique of vector quantization.

• Cartoon and Animation Studies
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• s.49
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• pp.465-491
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• 2017

This paper analyzes the short animation film which faithfully follows the external dimension of cartoons, and studies the hidden subject and the way of narrative in the back of the figure. In this process, we analyze the theme of using the analysis method of mosaic image. The narrative of cartoons is usually the majority in discussing the differences in the aspectual part. However, this animation uses cartoons to reach the linear narrative of ordinary narrative movies. As Janet Murray explains, if a 'mosaic image' approaches a theme through a mosaic approach, we can limit the 'mosaic film' that are introduced in the film format among them. First of all, conceptually uses the characteristics of 'mosaic image', at the same time, it utilizes a work utilizing the narrative features of 'mosaic film'. By analyzing this animation film by bifurcation, the first half reveals the characteristics of open-minded mosaic video platform, and the second half introduces the linear narrative method of film narrative. This paper divides the narrative method of 'multi plot Film' into three types: mosaic narrative film, network narrative film, and multi-draft film. Thus, we can analyze the ending of as a narrative method of 'network narrative film' which is composed of parallel or juxtaposed stories. In other words, if the early part of the animation follows the 'mosaic narrative' as an 'extension of ensemble film', the latter part faithfully follows 'network narrative'. Even in the way of talking about the subject, this animated film uses the way of speaking the mosaic image. Considering the aspectual tendency of cartoons, it can be said that this film derives the meaning of 'humor' or 'satire' in an open way. If the first half refers to 'the ambiguous routine of modern man', the latter half draws a profound theme called 'the reality of human selfishness in modern society'. is a film for a wide range of social criticism designed for adults who can interpret meaning.

• Journal of the Korean Mathematical Society
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• v.54 no.2
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• pp.517-543
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• 2017

Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H-objects is a (group) monoid which coincides, in the Hopf algebra setting, with the Galois group of H-Galois objects introduced by Chase and Sweedler.

• Ocean and Polar Research
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• v.35 no.4
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• pp.281-290
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• 2013

The vertical structure of sediment temperatures in the tidal flats of Geunso Bay and Seonyu Island in western Korea were measured for more than a year and analyzed. Mean temperature decreased with depth in spring and summer. On the contrary, it increased with depth in fall and winter, faithfully reflecting the seasonal variation resulting from the heating and cooling of the surface sediment. The surface sediment temperatures are shown to be strongly dependent on solar radiation, M2, and M4 tidal components. They are also weakly affected by precipitation. Thermal diffusivity of sediment is estimated at each depth and in each of the four seasons by applying the amplitude equation method. In Geunso Bay, the estimated seasonal-mean values decreased with depth, while they showed little change in Seonyu Island. Depth-averaged thermal diffusivity in Geunso Bay ($1.94 {\times}10^{-7}m^2/s$) was smaller than Seonyu Island ($2.20 {\times}10^{-7}m^2/s$). The variability of thermal diffusivity is shown to corelate with sediment composition and sorting from the grain-size analysis of intertidal sediments in Geunso Bay and Seonyu-do.

• Journal of the Korea Fashion and Costume Design Association
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• v.25 no.3
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• pp.97-111
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• 2023

Dynamic orphism images expressed with abstraction and construction in color are often found in modern fashion. Orphism stressing color is one of the many art trends that influence fashion. This work aims to examin its expressive effects and characteristics that appear in fashion and provide basic materials for fashion design study. This study proceeds with the following steps. First, the study takes on a theoretical examination of the orphism trend using a literature review. Second, based on its results, modern fashion's expressive features influenced by orphism are analyzed. Third, the study draws expression effects in modern fashion from these characteristics. The study coverage is confined to domestic and foreign collections released in the 21st century. The study contents come from an Internet-base domestic and international database and published material, including dissertations and books. Orphism expression effects are found in the following ways in modern fashion. First, it lies in the abstraction effect of color. This feature arrays flat geometric figure on the clothing surface and applies a strong sense of color inside it, as if color has an abstractive structured design. Second, it gives a dynamic sense visually to the clothes all at once by stressing the relation among and between the colors with powerful contrast. Third, it has a collage effect of color. This effect develops into an organic combination composed of geometric plane figures with intense complementary colors in a single piece of clothing. Expression types that presents the orphism effect in fashion are divided into clothing showing traditional orphism characteristics faithfully and clothing expressing conventional orphism characteristics mixed with modern trends. Further developed orphism fashion can be classified by the playful type, with graffiti added onto an orphism color structure, and the destructive type, where traditional orphism color orders are taken apart and reformed into a new color order.