• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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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.

• The KIPS Transactions:PartD
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• v.14D no.4 s.114
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• pp.373-380
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• 2007

Ubiquitous electronic commerce can offer anytime, anywhere access to network and exchange convenient informations between individual and group, or between group and group. To use secure ubiquitous electronic commerce, it is essential for users to have digital signature with the properties of integrity and authentication. The digital signature for ubiquitous networks is required neither a trusted group manager, nor a setup procedure, nor a revocation procedure etc. because ubiquitous networks can construct or deconstruct groups anytime, anwhere as occasion demands. Therefore, this paper proposes a threshold ring signature as digital signature for secure ubiquitous electronic commerce using the ring signature without forgery (integrity) and the (n,t) ring signature solving the problem cannot prove the fact which a message is signed by other signer. Thus the proposed threshold ring signature is ubiquitous group signature for the next generation.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.125-140
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• 2006

In 1933, I. Schur introduced a Schur ring in connection with permutation group and regular subgroup. After then, it was studied mostly for purely group theoretical purposes. In 1970s, Klin and Poschel initiated its usage in the investigation of graphs, especially for Cayley and circulant graphs. Nowadays it is known that Schur ring is one of the best way to enumerate Cayley graphs. In this paper we study the origin of Schur ring back to 1933 and keep trace its evolution to graph theory and combinatorics.

• Korean Journal of Mathematics
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• v.16 no.3
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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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• v.62 no.2
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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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• v.26 no.1_2
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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.

• Journal of the Chungcheong Mathematical Society
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• v.16 no.2
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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.

• YAKHAK HOEJI
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• v.55 no.5
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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.

• Journal of The Korean Society of Integrative Medicine
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• v.10 no.4
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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.

• Bulletin of the Korean Mathematical Society
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• v.42 no.4
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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.