• 대한수학회논문집
• /
• 제35권4호
• /
• pp.1087-1093
• /
• 2020

The aim of this paper is to show that every Engel quasinormal subgroups of the unit group of a division ring with uncountable center is central.

• Tribology and Lubricants
• /
• 제21권4호
• /
• pp.171-176
• /
• 2005

O-ring seal is an essential component in various mechanical apparatuses for a sealing of oil container and pressure vessels. This paper presents the sealing pressure and compressive contact behaviors of hi-polymer O-rings, which is made by an outer shell of FFKM material and an inner solid ring of FKM one. The contact normal pressure and its ratios are measured by experimental method with an automatic control system of the working temperature and analyzed numerically by using the non-linear Marc FEM program. The results show reasonably good agreements between the computed FEM results and measured ones when the operating temperature is kom normal temperature of $18^{\circ}C$ and a high temperature of $300^{\circ}C$ But the compared values between the computed and tested results show a little difference because of the increased temperature, which is related to the non-linear parameter of the O-ring material. Bi-polymer 0-ring shows a good contact normal stress and compression behavior for a given operation temperature and compression ratio.

• 대한수학회보
• /
• 제55권5호
• /
• pp.1333-1338
• /
• 2018

A ${\ast}-ring$ R is called ${\ast}-regular$ if every principal one-sided ideal of R is generated by a projection. In this note, several characterizations of ${\ast}-regular$ rings are provided. In particular, it is shown that a matrix ring $M_n(R)$ is ${\ast}-regular$ if and only if R is regular and $1+x^*_1x_1+{\cdots}+x^*_{n-1}x_{n-1}$ is a unit for all $x_i$ of R; which answers a question raised in the literature recently.

• Kyungpook Mathematical Journal
• /
• 제45권3호
• /
• pp.357-362
• /
• 2005

In this paper, we introduce a new notion which we call a generalized weakly ideal. We also investigate characterizations of strongly regular rings with the condition that every maximal left ideal is a generalized weakly ideal. It is proved that R is a strongly regular ring if and only if R is a left GP-V-ring whose every maximal left (right) ideal is a generalized weakly ideal. Furthermore, if R is a left SGPF ring, and every maximal left (right) ideal is a generalized weakly ideal, it is shown that R/J(R) is strongly regular. Several known results are improved and extended.

• 대한수학회보
• /
• 제53권1호
• /
• pp.195-204
• /
• 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].

• 대한수학회지
• /
• 제45권3호
• /
• pp.741-756
• /
• 2008

In this paper, we introduce a new class of rings, SB-rings. We establish various properties of this concept. These shows that, in several respects, SB-rings behave like rings satisfying unit 1-stable range. We will give necessary and sufficient conditions under which a semilocal ring is a SB-ring. Furthermore, we extend these results to exchange rings with all primitive factors artinian. For such rings, we observe that the concept of the SB-ring coincides with Goodearl-Menal condition. These also generalize the results of Huh et al., Yu and the author on rings generated by their units.

• 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.

• 한국지반공학회논문집
• /
• 제30권7호
• /
• pp.5-15
• /
• 2014

휴 폐광산지는 산발생, 지하수 오염뿐만 아니라 침식 및 산사태 등 다양한 물리화학적 지질재해에 노출되어 있다. 임기광산 폐석적치장 광미를 대상으로 링 전단시험을 수행하여 전단속도에 따른 전단특성을 조사하고 한다. 본 연구에 있어 마찰저항을 최소화할 목적으로 링 전단상자 오링(O-ring)은 전단동안 회전이 가능하도록 설계되었다. 1차 시험은 일정한 수직응력(50kPa)과 전단속도(0.1mm/sec) 조건에서 전단시간에 따른 전단응력을 조사하였다. 2차 시험은 일정한 수직응력 조건에서 전단속도를 0.01, 0.1, 1, 10, 50, 100mm/sec로 순차적으로 증가시켜 전단속도에 따른 전단응력을 조사하였다. 3차 시험은 일정한 전단속도(0.1mm/sec)하에서 수직응력을 20, 40, 60, 80, 100, 150kPa로 증가시켜 각 경우에 대한 전단응력을 조사하였다. 시험결과에 따르면, 배수조건에 관계없이 임기광산 폐석적치장광미시료는 전단연화거동(strain softening behavior)을 보였다. 특히 전단속도가 10mm/sec보다 작은 경우 잔류전단응력은 100~300초 사이에 일정한 값에 도달하는 것으로 나타났다. 2차와 3차 시험결과에 따르면, 배수조건에 관계없이 전단응력은 전단속도와 수직응력의 함수로 나타났다. 하지만, 배수조건에 따라 링 전단상자 전단부에서 상이한 입자파쇄 특성이 관측되었다. 배수조건시 전단상자 전단면에서 하단까지 넓은 전단띠가 형성된 것에 반해, 비배수조건시 전단면에 국부 전단띠가 형성되었다. 이러한 점에 비추어 볼 때, 전단속도에 따른 입자파쇄 특성은 산사태 유동성을 높이는 중요한 인자로 판단된다.

• Kyungpook Mathematical Journal
• /
• 제45권4호
• /
• pp.519-526
• /
• 2005

In this paper, we prove that every exchange ring can be characterized by potent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean rings in which every element is a sum of a potent element and a unit.

• 대한수학회지
• /
• 제47권4호
• /
• pp.819-830
• /
• 2010

We prove, in this article, that a ring R is a stable exchange ring if and only if so are all its Pierce stalks. If every Pierce stalks of R is artinian, then $1_R$ = u + $\upsilon$ with u, $\upsilon$ $\in$ U(R) if and only if for any a $\in$ R, there exist u, $\upsilon$ $\in$ U(R) such that a = u + $\upsilon$. Furthermore, there exists u $\in$ U(R) such that $1_R\;{\pm}\;u\;\in\;U(R)$ if and only if for any a $\in$ R, there exists u $\in$ U(R) such that $a\;{\pm}\;u\;\in\;U(R)$. We will give analogues to normal exchange rings. The root properties of such exchange rings are also obtained.