• 대한수학회보
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• 제51권6호
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• pp.1689-1696
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• 2014

Recently, it was proved that every p-Schur ring over an abelian group of order $p^3$ is Schurian. In this paper, we prove that every commutative p-Schur ring over a non-abelian group of order $p^3$ is Schurian.

• 정보처리학회논문지D
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• 제14D권4호
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• pp.373-380
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• 2007

유비쿼터스 전자거래를 통하여 사용자는 언제 어디서나 네트워크에 접근하여 편리한 정보를 개인과 그룹, 그룹과 그룹 사이에서 교환할 수 있다. 사용자가 이러한 유비쿼터스 전자거래를 안전하게 사용하기 위해서는, 전자 정보의 무결성과 인증의 특성을 가지는 디지털 서명이 필수 조건이다. 유비쿼터스 네트워크에서의 디지털 서명은 언제 어디서나 필요에 따라 그룹을 만들기도 하고 해체하기도 하므로, 유비쿼터스 전자거래는 신뢰된 그룹 관리자와 셋업 프로시져 철회 프로시져 등이 필요 없는 디지털 서명이 요구된다. 따라서 본 논문에서는 안전한 유비쿼터스 전자거래를 위한 디지털 서명으로서 쓰레시홀드 링 서명을 제안한다. 제안된 디지털 서명은 위조의 위험이 없는(무결성) 링 서명과 메시지가 다른 서명자에 의해 서명되는 것을 증명할 수 없는 문제를 해결하는(인증) (n,t)링 서명을 사용한다. 그러므로 제안된 쓰레시홀드 링 서명은 무결성과 인증을 만족하는 차세대 유비쿼터스 그룹 서명이다.

• 한국수학사학회지
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• 제19권2호
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• pp.125-140
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• 2006

군환의 특별한 부분환으로 정의된 수어환(Schur ring)은 치환군의 구조 연구를 위해 1933년 I.Schur에 의해 소개되었다. 그 후 30여 년 동안 군론과 표현론에서 응용되던 수어환은 1970년대에 이르러 획기적인 분기점을 맞이하게 된다. 조합론, 특별히 대수적 그래프에 관한 많은 연구 속에서, 그래프를 분류하기위해 수어환을 이용하려는 새로운 시도가 Klin과 Poschel에 의해 제안되었다. 이것은 당시 대수학에서 이룩해낸 유한단순군의 분류에 큰 도움을 받은 것이다. 이 논문에서는 수어환의 발생에 대한 역사적 배경과, 수어환이 군이론에서 어떻게 이용되었는지를 살펴보고, 또한 그래프이론에서의 역할을 조사한다.

• Korean Journal of Mathematics
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• 제16권3호
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• pp.271-280
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• 2008

In this paper, we initiate a study of faithful R-group G and some substructures of R and G. Next, we investigate a faithful representation of near-ring R and some properties of monogenic Rgroups.

• Kyungpook Mathematical Journal
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• 제62권2호
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• pp.213-227
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• 2022

We discuss the relation between units and nilpotents of a ring, concentrating on the transitivity of units on nilpotents under regular group actions. We first prove that for a ring R, if U(R) is right transitive on N(R), then Köthe's conjecture holds for R, where U(R) and N(R) are the group of all units and the set of all nilpotents in R, respectively. A ring is called right UN-transitive if it satisfies this transitivity, as a generalization, a ring is called unilpotent-IFP if aU(R) ⊆ N(R) for all a ∈ N(R). We study the structures of right UN-transitive and unilpotent-IFP rings in relation to radicals, NI rings, unit-IFP rings, matrix rings and polynomial rings.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.401-406
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• 2008

In this paper, we will introduce the noetherian quotients in R-groups, and then investigate the related substructures of the near-ring R and G and the R-group G. Also, applying the annihilator concept in R-groups and d.g. near-rings, we will survey some properties of the substructures of R and G in monogenic Rgroups, and show that R becomes a ring for faithful monogenic R-groups with some condition.

• 충청수학회지
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• 제16권2호
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• pp.59-73
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• 2003

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups, monogenic and faithful D.G. representations in near-rings.

• 약학회지
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• 제55권5호
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• pp.367-373
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• 2011

It was reported that the potency of TMMC derivatives was related to the presence of the 2'-hydroxy group on the A ring. Also, 4-dimethylamino group on the B ring lowered the anti-inflammatory potency of the chalcones. We synthesized various derivatives of 2'-hydroxy chalcones having other substituents on B ring. The synthetic derivatives showed the more potent anti-inflammatory effect, comparable to that of the TMMC derivatives reported previously.

• 대한통합의학회지
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• 제10권4호
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• pp.93-102
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• 2022

Purpose : The purpose of this study was to analyze the change in thickness of transvers abdominis, internal oblique, and external oblique when virtual reality based ring fit adventure is applied to young adults in order to investigate the effect of ring fit adventure on core stabilization. Methods : 30 subjects participated in the experiment. Subjects were randomly assigned to two groups. 15 subjects performed ring fit adventure core exercise (experimental group) and 15 subjects bridge and dead bug exercise (control group). The ring fit adventure core exercise program consists of 6 types, 1) bow pull, 2) overhead lunge twist, 3) pendulum bend, 4) seated ring raise, 5) plank, 6) warrior III pose. Each exercise was performed for 5 minutes, for a total of 30 minutes. The bridege and dead bug exercise were performed for 15 minutes each for a total of 30 minutes. All interventions were performed 3 times a week for 4 weeks. Thickness of the abdominal muscles was measured with a ultrasound. The paired t-test was used to compare the thickness of the transverse abdominis, internal oblique, and external oblique before and after intervention, and the comparison between groups was analyzed using the independent t-test. Results : As a result, in the experimental group, thickness of transverse abdominis and internal oblique increased significantly (p<.05), but external oblique decreased significantly (p<.05), and in the control group, thickness of transverse abdominis, internal oblique, and external oblique increased significantly (p<.05). There was a significant difference in external oblique in the difference between groups (p<.05). Conclusion : These study results showed that core exercise using ring fit adventure can reduce external oblique and increased selective muscle activity of transverse abdominis and internal oblique of the deep abdominal muscles, so it is meaningful as an effective intervention for core stabilization.

• 대한수학회보
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• 제42권4호
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• pp.807-815
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• 2005

Let R be a ring with identity, X the set of all nonzero, nonunits of Rand G the group of all units of R. We will consider two group actions on X by G, the regular action and the conjugate action. In this paper, by investigating two group actions we can have some results as follows: First, if G is a finitely generated abelian group, then the orbit O(x) under the regular action on X by G is finite for all nilpotents x $\in$ X. Secondly, if F is a field in which 2 is a unit and F $\backslash\;\{0\}$ is a finitley generated abelian group, then F is finite. Finally, if G in a unit-regular ring R is a torsion group and 2 is a unit in R, then the conjugate action on X by G is trivial if and only if G is abelian if and only if R is commutative.