• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제3권1호
• /
• pp.33-40
• /
• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• 한국지능시스템학회논문지
• /
• 제12권2호
• /
• pp.182-186
• /
• 2002

We investigate the quotient structure of a product BCK-algebra and fundamental homomorphism theorem and show their some properties.

• Journal of applied mathematics & informatics
• /
• 제30권3_4호
• /
• pp.693-697
• /
• 2012

In this note, we discuss $N(R,<_R)$-structure in a semiring, and show that if ($R,+,{\cdot}$) is a cancellative $<_+$-stable semiring, then ($R/N(R,<_+),+,{\cdot}$) is a semiring.

• 대한수학회논문집
• /
• 제32권4호
• /
• pp.789-803
• /
• 2017

Let $K={\mathbb{Q}}({\alpha})$ be a cubic field where ${\alpha}$ is an algebraic integer such that $disc_K({\alpha})$ is square-free. In this paper we will classify the structure of the unit group of the quotient ring ${\mathcal{O}}_K/A$ for each non-zero ideal A of ${\mathcal{O}}_K$.

• 대한수학회논문집
• /
• 제11권4호
• /
• pp.1087-1094
• /
• 1996

In this paper, we introduce the notion of the n-th pretopological modification. Also, we find some properties which hold between convergence quotient maps and n-th pretopological modifications.

• Journal of applied mathematics & informatics
• /
• 제7권1호
• /
• pp.289-295
• /
• 2000

In this note, we define a ${Q^*}-ideal$ in a seminear-ring which is analogous of a Q-ideal in a semiring, and we construct a quotient seminear-ring. Also, We prove the fundamental theorem of homomorphisms for seminear-rings.

• 대한수학회논문집
• /
• 제37권2호
• /
• pp.359-370
• /
• 2022

The principal aim of this paper is to study the connection between the structure of a quotient ring R/P and the behavior of special additive mappings of R. More precisely, we characterize the commutativity of R/P using derivations (generalized derivations) of R satisfying algebraic identities involving the prime ideal P. Furthermore, we provide examples to show that the various restrictions imposed in the hypothesis of our theorems are not superfluous.

• 무역학회지
• /
• 제47권4호
• /
• pp.293-309
• /
• 2022

The purpose of this paper is to analyze the import and export volume of Jeollabuk-do to establish a plan to activiation Saemangeum New Port. To this end, this study utilized the HHI(Herfindahl-Hirschman Index), LQ(Location Quotient) analysis using the annual data set from the Korea Trade Statistics Promotion Institution between 2015 to 2020. As a result, it has been confirmed that the degree of export volume concentration (HHI (Herfindahl-Hirschman Index)) in Jeollabuk-do has been increasing over the past 5 years. According to results of LQ(Location Quotient) analysis, Brazil had the highest index in the case of exporting countries, and Meat, edible meat offal (HS 2) had the highest index in the case of export items. This paper is meaningful in analyzing the export structure using import and export volumes and proposing a plan to improve the competitiveness of Saemangeum New Port.

• 대한수학교육학회지:수학교육학연구
• /
• 제22권1호
• /
• pp.53-68
• /
• 2012

본 연구는 아이들이 문장제 또는 수식 형태의 나눗셈의 결과를 여러 타입의 분수들-진분수, 가분수, 대분수-과 연관시키면서 분수가 가지는 여러 하위 개념 중 몫에 대한 개념 도식을 어떻게 구성해 가는지에 대하여 미국의 5학년 초등학생 네 명을 대상으로 이루어졌다. 실험 결과는 다음과 같았다. 균등분배 상황에서, 아이들은 나눗셈을 두 가지 방식으로 개념화하였다. 첫째, 아이들이 나눗셈을 통해 대분수 형태의 몫을 산출했을 경우, 이 대분수 형태의 몫은 진분수와 가분수 형태의 분수들을 부분-전체의 하위개념이 아니라 몫이라는 하위개념으로 이해하는데 개념적인 기초가 되었다. 둘째, 진분수 형태의 몫을 얻은 경우, 아이들은 그 몫을 곱셈구조의 예로 보려는 경향이 있었다. 즉, $a{\times}b=c$ ; $a{\div}c=\frac{1}{b}$ ; $b{\div}c=\frac{1}{a}$. 하지만, 장제법 계산은 소수 형태의 몫을 생산함으로써 아이들이 이 구조를 깨닫는 것을 어렵게 했다.

• 호남수학학술지
• /
• 제30권1호
• /
• pp.21-32
• /
• 2008

We introduce some notions and results which have been discussed, and we define the notion of fuzzy normal B-algebra and obtain the structure of quotient B-algebra via fuzzy normal B-algebra. Moreover, we generalize a fundamental theorem of B-homomorphism for B-algebras via fuzzy normal B-algebras.