• 한국컴퓨터정보학회논문지
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• 제12권2호
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• pp.37-45
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• 2007

본 논문에서는 각 조직과 사용자의 특성에 맞는 맞춤형 e-Ring(Enterprise Portal Back Tone) 시스템을 설계하고 개발하였다. e-Ring 시스템은 고객들이 조직에 전화를 걸 때, 전화 통화를 시작하기 전까지 기다리게 되는 귀중한 시간을 최대한 낭비하지 않도록 하기 위해 고객에게 통화연결음 서비스를 비롯하여 부가 서비스를 제공하는 시스템이다. 이는 일반적인 전화 통화에서 듣게 되는 의미없는 링연결음을 대신하여 조직의 이미지에 적합한 홍보를 할 수 있으며 또한 서비스 사용자 자동 응대 및 서비스 사용자에게 필요한 서비스를 제공하여 서비스 가용성과 업무의 효율성을 극대화 할 수 있다.

• 호남수학학술지
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• 제43권2호
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• pp.199-207
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• 2021

In this paper we introduce two classes of modules namely e-symmetric and e-reduced. Also, we study the characterizations of e-symmetric and e-reduced modules and their related properties.

• 대한수학회보
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• 제46권6호
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• pp.1091-1097
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• 2009

In this paper, we investigate the extensions of generalized stable rings. It is shown that a ring R is a generalized stable ring if and only if R has a complete orthogonal set {e$_1$, . . . , e$_n$} of idempotents such that e$_1$Re$_1$, . . . , e$_n$Re$_n$ are generalized stable rings. Also, we prove that a ring R is a generalized stable ring if and only if R[[X]] is a generalized stable ring if and only if T(R,M) is a generalized stable ring.

• East Asian mathematical journal
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• 제33권3호
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• pp.317-322
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• 2017

Let $D{\subseteq}E$ be an extension of integral domains with characteristic zero, I be a nonzero proper ideal of D, and let H(D, E) and H(D, I) (resp., h(D, E) and h(D, I)) be composite Hurwitz series rings (resp., composite Hurwitz polynomial rings). In this article, we show that H(D, E) is an Archimedean ring if and only if h(D, E) is an Archimedean ring, if and only if ${\bigcap}_{n{\geq}1}d^nE=(0)$ for each nonzero nonunit d in D. We also prove that H(D, I) is an Archimedean ring if and only if h(D, I) is an Archimedean ring, if and only if D is an Archimedean ring.

• East Asian mathematical journal
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• 제34권5호
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• pp.615-621
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• 2018

Let R be a ring with the unity 1, and let e be an idempotent of R. In this paper, we discuss some symmetric property for the set $\{(a_1,a_2,{\cdots},a_n){\in}R^n:a_1a_2{\cdots}a_n=e\}$. We here investigate some properties of those rings with such a symmetric property for an arbitrary idempotent e; some of our results turn out to generalize some known results observed already when n = 2 and e = 0, 1 by several authors. We also focus especially on the case when n = 3 and e = 1. As consequences of our observation, we also give some equivalent conditions to the commutativity for some classes of rings, in terms of the symmetric property.

• 한국컴퓨터정보학회지
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• 제14권1호
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• pp.205-212
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• 2006

본 논문에서는 각 조직의 특성에 맞는 맞춤형 e-Ring(Enterprise Portal Back Tone) 시스템을 개발하였다. e-Ring시스템은 고객들이 조직에 전화를 걸 때, 전화 통화를 시작하기 전까지 기다리게 되는 귀중한 시간을 최대한 낭비하지 않도록 하기 위해 고객에게 통화연결음 서비스를 비롯하여 부가 서비스를 제공하는 시스템이다. 이는 일반적인 전화 통화에서 듣게 되는 의미없는 링연결음을 대신하여 조직의 이미지에 적합한 홍보를 할 수 있으며, 또한 서비스 사용자 자동 응대 및 서비스 사용자에게 필요한 서비스를 제공하여 서비스 가용성과 업무의 효율성을 극대화 할 수 있다.

• 대한수학회보
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• 제53권1호
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• pp.195-204
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• 2016

We prove, in this note, that a Zabavsky ring R is an elementary divisor ring if and only if R is a $B{\acute{e}}zout$ ring. Many known results are thereby generalized to much wider class of rings, e.g. [4, Theorem 14], [7, Theorem 4], [9, Theorem 1.2.14], [11, Theorem 4] and [12, Theorem 7].

• Kyungpook Mathematical Journal
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• 제61권1호
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• pp.11-21
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• 2021

We study the structure of rings whose factor rings modulo nonzero proper ideals are right duo; such rings are called right FD. We first see that this new ring property is not left-right symmetric. We prove for a non-prime right FD ring R that R is a subdirect product of subdirectly irreducible right FD rings; and that R/N∗(R) is a subdirect product of right duo domains, and R/J(R) is a subdirect product of division rings, where N∗(R) (J(R)) is the prime (Jacobson) radical of R. We study the relation among right FD rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings, polynomial rings and direct products. We prove that if a ring R is right FD and 0 ≠ e2 = e ∈ R then eRe is also right FD, examining that the class of right FD rings is not closed under subrings.

• 대한수학회지
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• 제45권3호
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• pp.727-740
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• 2008

A ring R is called IFP, due to Bell, if ab=0 implies aRb=0 for $a,b{\in}R$. Huh et al. showed that the IFP condition need not be preserved by polynomial ring extensions. But it is shown that ${\sum}^n_{i=0}$ $E_{ai}E$ is a nonzero nilpotent ideal of E whenever R is an IFP ring and $0{\neq}f{\in}F$ is nilpotent, where E is a polynomial ring over R, F is a polynomial ring over E, and $a_i^{'s}$ are the coefficients of f. we shall use the term near IFP to denote such a ring as having place near at the IFPness. In the present note the structures of IFP rings and near-IFP rings are observed, extending the classes of them. IFP rings are NI (i.e., nilpotent elements form an ideal). It is shown that the near-IFPness and the NIness are distinct each other, and the relations among them and related conditions are examined.

• Journal of applied mathematics & informatics
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• 제42권2호
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• pp.367-377
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• 2024

Let G = (V, E) be a graph with p-vertices and q-edges and let R^◦ be a finite zero ring of order n. An injective function f : V (G) → {r₁, r₂, _…, r_k}, where r_i ∈ R^◦ is called vertex pair sum k-zero ring labeling, if it is possible to label the vertices x ∈ V with distinct labels from R^◦ such that each edge e = uv is labeled with f(e = uv) = [f(u) + f(v)] (mod n) and the edge labels are distinct. A graph admits such labeling is called vertex pair sum k-zero ring graph. The minimum value of positive integer k for a graph G which admits a vertex pair sum k-zero ring labeling is called the vertex pair sum k-zero ring index denoted by 𝜓_pz(G). In this paper, we defined the vertex pair sum k-zero ring labeling and applied to some graphs.