• East Asian mathematical journal
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• 제22권1호
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• pp.61-69
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• 2006

A near-ring N is reduced if, for $a{\in}N,\;a^2=0$ implies a=0, and N is left strongly regular if for all $a{\in}N$ there exists $x{\in}N$ such that $a=xa^2$. Mason introduced this notion and characterized left strongly regular zero-symmetric unital near-rings. Several authors ([2], [5], [7]) studied these properties in near-rings. Reddy and Murty extended some results in Mason to the non-zero symmetric case. In this paper, we will define a concept of strong reducedness and investigate a relation between strongly reduced near-rings and left strongly regular near-rings.

• 대한수학회논문집
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• 제23권1호
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• pp.29-40
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• 2008

Here, some classes of regular order semigroups are discussed. We shall consider that the problems of the existences of (multiplicative) inverse $^{\delta}po$-transversals for such classes of po-semigroups and obtain the following main results: (1) Giving the equivalent conditions of the existence of inverse $^{\delta}po$-transversals for regular order semigroups (2) showing the order orthodox semigroups with biggest inverses have necessarily a weakly multiplicative inverse $^{\delta}po$-transversal. (3) If the Green's relation $\cal{R}$ and $\cal{L}$ are strongly regular (see. sec.1), then any principally ordered regular semigroup (resp. ordered regular semigroup with biggest inverses) has necessarily a multiplicative inverse $^{\delta}po$-transversal. (4) Giving the structure theorem of principally ordered semigroups (resp. ordered regular semigroups with biggest inverses) on which $\cal{R}$ and $\cal{L}$ are strongly regular.

• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.307-318
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• 2020

This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.

• 대한수학회보
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• 제55권6호
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• pp.1713-1726
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• 2018

We study the one-sided regularity of matrices in upper triangular matrix rings in relation with the structure of diagonal entries. We next consider a ring theoretic condition that ab being regular implies ba being also regular for elements a, b in a given ring. Rings with such a condition are said to be commutative at regular product (simply, CRP rings). CRP rings are shown to be contained in the class of directly finite rings, and we prove that if R is a directly finite ring that satisfies the descending chain condition for principal right ideals or principal left ideals, then R is CRP. We obtain in particular that the upper triangular matrix rings over commutative rings are CRP.

• Journal of Acupuncture Research
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• 제17권1호
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• pp.175-187
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• 2000

PyoBon GeunGyul - one of the twelve regular meridians theory - play a important role on the principle of point selection and point prescription in acumoxibustion. PyoBon explain the connection of the concentration and diffusion of channel qi, GeunGyul explain the relation of both poles of channels flow. So, Geun and Bon means the starting point of channel qi, and Pyo and Gyul means the terminal point of channel qi. But the flow of channel qi on PyoBon GeunGyul different from today's circulation courses of twelve regular channels based on Kyungmaek(經脈) chapter of Youngchu. Thus this study investigate the contents of PyoBon GeunGyul and consider its connection with channel flow. The results are as follows : 1. PyoBon GeunGyul theory explain that the relation of the limbs and trunk at meridian and emphasize that the connection of meridian and the importance of the limb acupoints. 2. PyoBon GeunGyul theory can be understandable in the view of the primordial qi and explain that the primordial qi of twelve regular channels acts from the limbs to the trunk. 3. PyoBon GeunGyul theory is based on the system of primordial qi channel which circulates from fingers and toes facing toward heart or the head, different from today's circulation courses of twelve regular meridians. 4. PyoBon GeunGyul theory act as a basis of principle of a part or distant point selection which applicated widely in acumoxibustion.

• 대한수학회지
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• 제53권1호
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• pp.217-232
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• 2016

We make a study of two generalizations of regular rings, concentrating our attention on the structure of idempotents. A ring R is said to be right attaching-idempotent if for $a{\in}R$ there exists $0{\neq}b{\in}R$ such that ab is an idempotent. Next R is said to be generalized regular if for $0{\neq}a{\in}R$ there exist nonzero $b{\in}R$ such that ab is a nonzero idempotent. It is first checked that generalized regular is left-right symmetric but right attaching-idempotent is not. The generalized regularity is shown to be a Morita invariant property. More structural properties of these two concepts are also investigated.

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.205-213
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• 2000

In this paper we introduce the concept of a fuzzy strongly regular relation on a sumihypergroup, and prove a few results concerning this concept.

• East Asian mathematical journal
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• 제8권2호
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• pp.151-162
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• 1992

• 한국식품조리과학회지
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• 제22권6호통권96호
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• pp.783-791
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• 2006

The consciousness and eating habits of the housekeeper directly influence the stress level and health quality of the household occupants. In Korea, most housewives are in charge of dietary life. Accordingly, their attitudinal clusters toward dietary (eating) life were researched in relation to their stress and health. The research results showed that irregular eating habits cause stress. Therefore, it is necessary for housewives to have a regular eating habit. The results were as follows. The house wives' attitudes toward dietary life were categorized into 5 clusters: regular and speedy overeating, regular and frequent eating, regular and light eating, irregular and light eating, irregular and speedy overeating. The cluster of regular and frequent snacks was 24.3%. The cluster of irregular and speedy overeating caused the most stress. Especially the house wives' group belonging to the cluster of irregular and speedy overeating were under social and emotional stress, while the cluster of regular and light eating and the cluster of irregular and light eating were under concentration stress. The cluster of regular and frequent snacks and the cluster of irregular and light eating had negative effect on their health, while the cluster of regular and speedy overeating had negative effect on their family's health by their social stress.

• 한국초등수학교육학회지
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• 제17권2호
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• pp.351-370
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• 2013

본 연구는 초등학교 6학년 영재학급 학생들이 정다면체 및 삼각다면체의 쌍대 관계를 탐구하면서 입체도형의 구성 요소를 통해 쌍대 관계를 어떻게 인식하고 이미지화하여, 결과적으로는 어떤 시각화 방법을 사용하는지 분석하는데 목적이 있다. 이를 위해 인천과 서울지역에 거주하는 총 4개 학급 60명의 학생들이 대상으로 학습지를 분석하였으며, 이들 중 소속 학급 내 성취 수준이 중상 이상인 12명의 학생들을 대상으로 관찰 및 면담을 통해 사고 과정을 보다 상세히 분석하였다. 다면체의 쌍대 관계를 탐구하는 과정에 필요한 구성요소에는 면, 꼭짓점, 모서리의 개수라는 일차적인 요소가 존재하고 한 면에 모인 꼭짓점의 수, 한 꼭짓점에 모인 면의 수라는 이차적인 요소가 존재한다. 일반적인 학생들은 구성 요소들의 개수에 집중하여 유사점 구별이라는 방법을 주로 사용하는데, 이 경우 정다면체의 쌍대관계는 쉽게 인식하였다. 하지만 삼각다면체의 쌍대관계까지 인식해 낸 학생들의 경우는 한 단계 더 나아가서 입체의 이미지를 떠올리며 유사점이 과연 공간에서 어떤 형태로 나타나는지를 확인해 본 결과 공간으로 전환되는 사고는 (대상 회전), (보조선 그리기), (입체도형 일부 만들기), (입체도형 안에 입체도형 만들기)의 형태로 나타나서 시각화하게 됨을 확인하였다.