• 호남수학학술지
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• 제41권4호
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• pp.863-870
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• 2019

In this paper, we obtain the enumeration results on the number of linear extensions of diamond posets. We find the recurrence relations and exponential generating functions for the number of linear extensions of diamond posets. We also get some results for the volume of graph polytope associated with bipartite graphs which are underlying graphs of diamond posets.

• 대한수학회보
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• 제42권3호
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• pp.555-561
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• 2005

In this note we give characterizations for certain HNN extensions with central associated subgroups to be residually finite. We then apply our results to HNN extensions of polycyclic-by-finite groups.

• 충청수학회지
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• 제29권4호
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• pp.599-611
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• 2016

Let $k={\mathbb{F}}_q(t)$ be a rational function field over the finite field ${\mathbb{F}}_q$. In this paper we obtain formulas of average values of L-functions of some family of Artin-Schreier extensions over k.

• Korean Journal of Mathematics
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• 제24권4호
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• pp.601-612
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• 2016

In this paper we obtain average of class numbers of some family of Artin-Schreier extensions of rational function field ${\mathbb{F}}_q(t)$, where q is a power of 3.

• Korean Journal of Mathematics
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• 제30권4호
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• pp.615-628
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• 2022

In this paper, we will prove some extensions of the Eneström-Kakeya theorem to quaternionic polynomials which were already valid for the classical Eneström-Kakeya theorem to complex polynomials. Our kind of extensions have considerably improved the bounds by relaxing and weakening the hypothesis in some cases.

• 호남수학학술지
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• 제43권4호
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• pp.741-749
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• 2021

A variant of up-down posets described below and the number of their linear extensions were studied. We obtained the exponential generating functions which showed that how they are related to the Euler's up-down numbers.

• Kyungpook Mathematical Journal
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• 제57권3호
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• pp.401-417
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• 2017

Ever since their introduction, skew PBW ($Poincar{\acute{e}}$-Birkhoff-Witt) extensions of rings have kept growing in importance, as researchers characterized their properties (such as primeness, Krull and Goldie dimension, homological properties, etc.) in terms of intrinsic properties of the base ring, and studied their relations with other fields of mathematics, as for example quantum mechanics theory. Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW extensions. Our aim in this paper is to study skew PBW extensions of Baer, quasi-Baer, principally projective and principally quasi-Baer rings, in the case when the base ring R is not assumed to be reduced. We just impose some mild compatibleness over the base ring R, and prove that these properties are stable over this kind of extensions.

• 복식문화연구
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• 제10권2호
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• pp.146-159
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• 2002

This study examines the textile pattern design of Italian fashion brands and their brand extensions by comparing their images. Five Italian fashion brands are chosen and the textile pattern design of their brand extensions, which were presented during the eight collection. Then their design style is compared with the design style of their main brands. The five main brands and their brand extensions are as fellows: Anna Molinari-Blumarine, Dolce & Gabbana-D&G, Girogio Armani-Emporio Armani, Gian Franco Ferre'-GFF, and Prada-MiuMiu. Their color, motive type, motive layout, motive expression, and pattern drawing technique are examined and compared. Results suggest that most brand extensions generally use color, motive type motive layout. and motive expression similar to their main brands. In particular, their pattern drawing technique is a painting style white their main brands use a graphic style. This result suggests that to create and develop new brand extensions, Italian fashion (main brand) firms in general employ color, motive type, motive layout, and motive expression technique similar to main brands, but different drawing technique to differentiate from their main brands. The results of this study suggest that textile pattern design plays an important role in developing new brand extensions and thus should be considered as a crucial part of the product.

• 마케팅과학연구
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• 제15권3호
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• pp.67-92
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• 2005

본 연구는 브랜드 확장의 단점에도 불구하고 마케팅의 효과 및 효율측면에서 항상 고민하는 마케터들이 전략적으로 브랜드확장을 꾀하고자 할 때, 브랜드확장의 위험을 줄이고 성공가능성을 높이는데 일조하고자 실시되었다. 특히 본 연구는 제품유형을 실용제품과 쾌락제품으로 구분하고, 모 브랜드의 제품유형과 일치하는 제품유형으로 브랜드 확장을 하는 경우와 불일치하는 제품유형으로 확장하는 경우에 소비자가 확장 브랜드에 대하여 보이는 반응을 조사하였다. 연구결과에 따르면, 모 브랜드의 제품유형과 일치하는 제품유형으로 확장한 브랜드가 불일치하는 제품유형으로 확장한 브랜드보다 소비자에게 보다 긍정적으로 평가를 받았다. 또한 브랜드확장 전략 수행 시 모 브랜드와 제품유형을 일치시키는 것이 모 브랜드의 제품유형이 쾌락제품일 경우보다 실용제품일 경우 더욱 중요한 것으로 나타났다. 여기에서 나아가 소비자가 몰입하는 인지적 또는 감성적 관여유형에 따라 브랜드확자엥 대한 보지가의 평가는 모 브랜드의 제품유형 및 일치 불일치 확장유형에 따라 달라질 수 있음을 알 수 있었다.

• 대한수학회논문집
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• 제6권1호
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• pp.89-92
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• 1991