• 대한수학회보
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• 제59권4호
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• pp.843-852
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• 2022

In this paper, we study some properties of Bézout and weakly Bézout rings. Then, we investigate the transfer of these notions to trivial ring extensions and amalgamated algebras along an ideal. Also, in the context of domains we show that the amalgamated is a Bézout ring if and only if it is a weakly Bézout ring. All along the paper, we put the new results to enrich the current literature with new families of examples of non-Bézout weakly Bézout rings.

• 대한수학회지
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• 제47권5호
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• pp.879-897
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• 2010

Y. Hirano introduced the concept of a quasi-Armendariz ring which extends both Armendariz rings and semiprime rings. A ring R is called quasi-Armendariz if $a_iRb_j$ = 0 for each i, j whenever polynomials $f(x)\;=\;\sum_{i=0}^ma_ix^i$, $g(x)\;=\;\sum_{j=0}^mb_jx^j\;{\in}\;R[x]$ satisfy f(x)R[x]g(x) = 0. In this paper, we first extend the quasi-Armendariz property of semiprime rings to the skew polynomial rings, that is, we show that if R is a semiprime ring with an epimorphism $\sigma$, then f(x)R[x; $\sigma$]g(x) = 0 implies $a_iR{\sigma}^{i+k}(b_j)=0$ for any integer k $\geq$ 0 and i, j, where $f(x)\;=\;\sum_{i=0}^ma_ix^i$, $g(x)\;=\;\sum_{j=0}^mb_jx^j\;{\in}\;R[x,\;{\sigma}]$. Moreover, we extend this property to the skew monoid rings, the Ore extensions of several types, and skew power series ring, etc. Next we define $\sigma$-skew quasi-Armendariz rings for an endomorphism $\sigma$ of a ring R. Then we study several extensions of $\sigma$-skew quasi-Armendariz rings which extend known results for quasi-Armendariz rings and $\sigma$-skew Armendariz rings.

• 대한수학회보
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• 제60권3호
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• pp.575-591
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• 2023

Motivated by several generalizations of the Pochhammer symbol and their associated families of hypergeometric functions and hypergeometric polynomials, by choosing to use a very generalized Pochhammer symbol, we aim to introduce certain extensions of the generalized Lauricella function F⁽ⁿ⁾_A and the Humbert's confluent hypergeometric function Ψ⁽ⁿ⁾ of n variables with, as their respective particular cases, the second Appell hypergeometric function F₂ and the generalized Humbert's confluent hypergeometric functions Ψ₂ and investigate their several properties including, for example, various integral representations, finite summation formulas with an s-fold sum and integral representations involving the Laguerre polynomials, the incomplete gamma functions, and the Bessel and modified Bessel functions. Also, pertinent links between the major identities discussed in this article and different (existing or novel) findings are revealed.

• 한국전산유체공학회지
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• 제12권3호
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• pp.20-28
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• 2007

A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline(NURBS) of an approximation method. Many of NURBS intrinsic properties are introduced and much more easily understood. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper. The object of this study is to develop the surface grid generation and the grid cluster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers. The knot insert method of Non-Uniform Rational B-Spline seems well worked. In addition, NURBS has been widely utilized to generate grids in the computational fluid dynamics community. Computational examples associated with practical configurations have shown the utilization of the algorithm.

• 대한수학회보
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• 제60권4호
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• pp.985-1001
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• 2023

Recently, Alzer and Choi [2] introduced and studied a set of the four linear Euler sums with parameters. These sums are parametric extensions of Flajolet and Salvy's four kinds of linear Euler sums [9]. In this paper, by using the method of residue computations, we will establish two explicit combined formulas involving two parametric linear Euler sums S⁺⁺_p,q (a, b) and S^+-_p,q (a, b) defined by Alzer and Choi, which can be expressed in terms of a linear combinations of products of trigonometric functions, digamma functions and Hurwitz zeta functions.

• 마케팅과학연구
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• 제20권1호
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• pp.35-48
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• 2010

今天, 受到成熟零售市场挑战的时装市场需要新的 "品牌发展" 典范来提高他们的竞争优势. 时装市场的一个重要议题是为满足消费者由于生活方式的变化而产生的特别需求所进行的生活方式品牌扩张. 时装品牌扩张到生活方式产品类别, Y世代和婴儿潮可以说是新兴的 "前景"(婴儿潮的消费者正在改变他们的生活方式. Y世代正经历着他们生命阶段的变化). 他们有购买新产品的需求. 因此, 服装公司为品牌扩张注重消费群从而在新的产品类别中建立和管理他们的品牌资产是乐观的. 本文的研究目的是(a)评估母品牌和子品牌的品牌资产. (b)鉴定消费者对品牌扩张的感知营销因素. (c)评估两个选择的群体(Y世代和婴儿潮)的营销因素和扩张到生活方式的产品类别(包括家居时尚产品)品牌的品牌资产之间因果关系的结构方程模型. 关于理论框架, 本文关注传统的营销4P组合来鉴定哪个营销因素在品牌扩张资产方面更重要. 比较营销可以建立 "品牌扩张资产", 从而成功的进入新类别. 借鉴相关的文献, 通过关注选择的消费者(Y世代, 婴儿潮), 本研究发展的研究假设结合了品牌资产因子和营销因素. 在品牌扩张至生活方式产品的背景下, 品牌资产的构念包括品牌认知/联合, 品牌感知(例如感知质量, 情感价值)和从CBBE因子(Keller, 2001)中而来的品牌共鸣. 据推测, 通过品牌扩张至生活方式产品, 市场营销要素在品牌认知/联合, 品牌感知方面创建品牌扩张资产, 进而影响品牌的共鸣. 为了收集数据, 样本由韩国Y世代的女性消费者和在婴儿潮中出生的消费者. 这些在婴儿潮中出生的消费者由于生活周期的改变而对生活方式产品有较高的需求. 在韩国Y世代(n=326)和婴儿潮(n=325)的女性消费者中共有651份有用的问卷被使用. 我们用LISREL8.8测试了使用相关矩阵的结构和测量模型. 结果显示品牌扩张的感知营销因素包括三个因子: 价格/店铺形象, 产品和广告. 在Y世代的模型中, 价格/店铺形象对品牌资产因素有积极的影响(例如品牌认知/联合, 感知质量). 同时, 在品牌扩张中产品对情感价值有积极的影响. 品牌认知/联合有可能提高感知质量和情感价值, 从而对扩张至生活方式产积极的品牌产生品牌共鸣. 在婴儿潮消费者模型中, 价格/店铺形象对感知质量有积极的影响, 感知质量可以创造品牌扩张的品牌共鸣. 产品对质量感知和情感价值有正的影响, 这些都会消费者产生对扩张至生活方式产品的品牌的品牌共鸣. 但是, 在这两个群体中广告和品牌资产都是负相关. 本研究为时装营销者提供了发展成功的品牌扩张战略以及可持续的竞争优势的见解. 本研究补充和扩展了先前的有关通过营销努力的因素促使品牌扩张成功的研究. 研究结果支持为进入新的产品类别, 时装品牌扩张(Aaker and Keller, 1990; Tauber, 1998; Shine et al., 2007; Pitta and Katsanis, 1995)和营销行动的增效作用. 因此, 我们推荐营销者同时针对Y世代和婴儿潮一代通过标准化的营销推广进入新产品类别(例如家具)可以降低营销成本. 时装营销者可以(a)提供高价的产品线. (b)在韩国通过零售渠道(例如专门百货商店)强调高档特征的商店形象定位. (c)结合服装与生活方式产品包括新颖的款式和设计师的限量版. 对品牌资产,成功品牌延伸的关键是消费者的品牌认知度和品牌联合,确保新产品类别的品牌特征. 对于营销者来说, 在进入新产品类别的时候知道什么有助于更具体的联合是必要的. 对时装品牌而言, 品牌扩张的第二个关键是进入 "奢侈" 生活方式新产品类别的途径. 更高的价格或店铺形象都对质量感知有影响. 而质量感知可以引起品牌共鸣. 更重要的是, 本研究提高了对品牌扩张的理论理解并对营销者提出了在制定针对Y世代和婴儿潮一代消费者的行销项目时的方向.

• 정보처리학회논문지B
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• 제8B권6호
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• pp.717-724
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• 2001

멀티미디어 프레젠테이션은 강의나 업무 보고, 화상 회의 등 여러 분야에서 활용되고 있다. 이러한 프레젠테이션은 대개 시간적인 구조를 가진 멀티미디어 객체들로 구성되어 있다. 여기서 시간적인 구조는 프레젠테이션을 구성하는 객체들이 전달되어야 하는 시점과 재생 시간 그리고 이러한 객체들 사이에 존재하는 시간적 관계 등을 명시한다. 본 논문에서는 XHTML의 시간적 확장을 통해 웹 문서와 동기화된 멀티미디어 데이터의 통합을 가능하게 하는 방법을 제안한다. 시간적 확장을 위해 (i) 시간적인 구성(temporal composition)을 위한 XHTML＋TIME (Xtime) link을 정의하고, (ii) 상호 공통된 시간을 바탕으로 한 미디어 객체간의 긴밀한 동기화 표현을 지원하며, (iii) 프레젠테이션 스크린의 범위를 명시하는 동적인 레이아웃(layout)을 가능하게 하였다. 또한 멀티미디어 프레젠테이션에서 위와 같은 개념들을 지원하기 위한 연성 있는 실행 구조를 보인다.

• 대한수학회보
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• 제51권2호
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• pp.555-565
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• 2014

An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.

• 대한수학회논문집
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• 제13권2호
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• pp.233-242
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• 1998

Let $k = Q(\sqrt{m})$ be a real quadratic field. In this paper, the following theorems on p-divisibility of the class number h of k are studied for each prime pp. Theorem 1. If the discriminant of k has at least three distinct prime divisors, then 2 divides h. Theorem 2. If an odd prime p divides h, then p divides $B_{a,\chi\omega^{-1}}$, where $\chi$ is the nontrivial character of k, and $\omega$ is the Teichmuller character for pp. Theorem 3. Let $h_n$ be the class number of $k_n$, the nth layer of the $Z_p$-extension $k_\infty$ of k. If p does not divide $B_{a,\chi\omega^{-1}}$, then $p \notmid h_n$ for all $n \geq 0$.

• 대한수학회논문집
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• 제39권1호
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• pp.93-104
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• 2024

Let R be a commutative ring with identity. In this paper, we introduce a new class of ideals called the class of strongly quasi J-ideals lying properly between the class of J-ideals and the class of quasi J-ideals. A proper ideal I of R is called a strongly quasi J-ideal if, whenever a, b ∈ R and ab ∈ I, then a² ∈ I or b ∈ Jac(R). Firstly, we investigate some basic properties of strongly quasi J-ideals. Hence, we give the necessary and sufficient conditions for a ring R to contain a strongly quasi J-ideals. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the primary ideals, the prime ideals and the maximal ideals. Finally, we give an idea about some strongly quasi J-ideals of the quotient rings, the localization of rings, the polynomial rings and the trivial rings extensions.