• Kyungpook Mathematical Journal
• /
• 제51권1호
• /
• pp.1-10
• /
• 2011

Let (R, T) be a normal pair of commutative rings (i.e., R ${\subseteq}$ T is a unita extension of commutative rings, not necessarily integral domains, such that S is integrally closed in T for each ring S such that R ${\subseteq}$ S ${\subseteq}$ T) such that the total quotient ring of R is a von Neumann regular ring. Let P be one of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally divided ring. Then R has P if and only if T has P. An example shows that the "if" part of the assertion fails if P is taken to be the "divided domain" property.

• 한국정보과학회논문지:시스템및이론
• /
• 제32권5호
• /
• pp.196-208
• /
• 2005

다중 프로세서 시스템에서 노드 간의 연결을 제공하는 상호 연결망이 전체 시스템의 성능에서 차지하는 비중은 매우 크다 상호 연결망의 형태는 여러 종류가 있을 수 있으나 Mesh, 링, 계층 링 등의 형태가 많이 사용된다. 이 논문에서는 기존의 계층 링을 수정,한 Torus Ring을 제안한다. Torus Ring은 계층 링과 완전히 동일한 복잡도를 가지면서도 지역 링 간의 연결 방법만을 변경한 형태의 상호 연결망이다. 이 연결망은 역방향 인접 링에 대한 요청에서 홉 수의 이득을 봄으로써 평균 흡수를 감소시킨다. 또한 접근의 지역성을 고려하지 않은 균등분포의 가정 하에서도 평균 홉수의 기대값에서 계층링과 동일한 값을 가지며, 실제 병렬 프로그램이 수행되는 환경에서는 인접링에 대한 통신 비율이 증가할 가능성이 크기 때문에 더 큰 흡수의 이익을 기대할 수 있다. 이에 따라 상호 연결망의 요청과 웅답의 지연 시간이 최대 19$\%$까지 감소하였으며, 이러한 웅답 지연 시간의 단축이 수행 시간을 최대 10$\%$ 정도까지 감소시키는 결과를 가져왔다.

• 대한수학회보
• /
• 제44권2호
• /
• pp.215-223
• /
• 2007

We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.

• Korean Journal of Mathematics
• /
• 제23권1호
• /
• pp.37-46
• /
• 2015

We in this note introduce the concept of semi-IFP rings which is a generalization of IFP rings. We study the basic structure of semi-IFP rings, and construct suitable examples to the situations raised naturally in the process. We also show that the semi-IFP does not go up to polynomial rings.

• 한국전자파학회논문지
• /
• 제17권9호
• /
• pp.845-851
• /
• 2006

본 논문에서는 접힌 구조를 이용하여 소형화되고 고조파 특성이 개선된 링-하이브리드를 설계하였다. 제안한 구조는 링-하이브리드의 링 구조를 LPF 특성을 갖는 접힌 구조의 결합 선로를 이용하여 구성함으로써 링의 크기 감소뿐만 아니라 고조파 제거 특성도 부가하였다. 중심 주파수 2.41 GHz에서 일반적인 링-하이브리드와 같은 특성이 같고 3차 고조파를 포함한 11 GHz까지 -20 dB 이하의 저지 특성을 가지고 있다. 또한 링의 크기가 기존의 1/4 크기로 줄어들었다. 제작된 링-하이브리드의 측정된 주파수 특성 결과는 회로 및 EM 시뮬레이션 결과와 잘 일치한다.

• 대한수학회논문집
• /
• 제38권1호
• /
• pp.55-67
• /
• 2023

In this paper we obtain a new structure of a k-annihilating ideal hypergraph of a reduced ring R, by determine the order and size of a hypergraph 𝒜𝒢_k(R). Also we describe and count the degree of every nontrivial ideal of a ring R containing in vertex set 𝒜(R, k) of a hypergraph 𝒜𝒢_k(R). Furthermore, we prove the diameter of 𝒜𝒢_k(R) must be less than or equal to 2. Finally, we determine the minimal dominating set of a k-annihilating ideal hypergraph of a ring R.

• 호남수학학술지
• /
• 제23권1호
• /
• pp.15-20
• /
• 2001

Reduced Von Neumann Regular ring is pseudo symmetric and N(R) is reduced. Thus N(R) is pseudo symmetric and M(R) is reduced if and only if M(R) = N(R).

• Kyungpook Mathematical Journal
• /
• 제47권1호
• /
• pp.151-154
• /
• 2007

We study ${\sigma}$-derivations on reduced near-rings and extend certain results on derivations to ${\sigma}$-derivations with some conditions.

• 한국안전학회지
• /
• 제31권6호
• /
• pp.25-31
• /
• 2016

This paper has analyzed the structure, applicable regulations and the resistance characteristics of insulation ring type of CSST (Corrugated Stainless Steel Tubing for Gas). With the flammability test conducted in accordance with KS C IEC 60811-1-1, the evaluation of insulation resistance, temperature characteristics, and reliability has been conducted. An insulation ring type CSST consists of protective coating, tube, nut, insulation ring, packing, socket, and ball valve. Connecting an insulation ring type CSST to gas tubings for gas appliance is not permitted, moreover, the product shall be installed inside a sleeve pipe in case of buried installation such as the ceiling. Damages on protective coating and tube were detected when fire was applied to the test sample with a portable torch for 60 seconds. The insulation resistance of a normal product was $49.59M{\Omega}$, while that of the product completed the flammability test reduced to $9.21M{\Omega}$. The mean insulation resistance within the confidence Interval of 95% using the mini tap program 17 was $49.59M{\Omega}$ and the mean insulation resistance within the confidence interval reduced to $9.21M{\Omega}$. In the normal distribution analysis of 95% confidence interval, the value-P of the normal product was stable at 0.075 and AD(Anderson-Darling) statistic value was turned out to be 0.063, which is very normal, and the standard deviation was analyzed as 0.2586. The value P of the product completed the flammability test resulted in 0.005, the AD was 1.355 and the standard deviation reduced to 0.07908.

• East Asian mathematical journal
• /
• 제36권3호
• /
• pp.417-424
• /
• 2020

Huang et al. proved that the n by n upper triangular matrix ring over a domain is weakly reversible-over-center by using the property of regular matrices. In this article we provide a concrete proof which is able to be available in the related study of centers. Next we extend an example of weakly reversible-over-center, which was argued by Huang et al., to the general case.