• 제목/요약/키워드: cyclic group

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On the Decomposition of Cyclic G-Brauer's Centralizer Algebras

  • Vidhya, Annamalai;Tamilselvi, Annamalai
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.1-28
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    • 2022
  • In this paper, we define the G-Brauer algebras $D^G_f(x)$, where G is a cyclic group, called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized m, k signed partial 1-factors is to analyse the multiplication of basis elements in the quotient $^{\rightarrow}_{I_f}^G(x,2k)$. Also, we define certain symmetric matrices $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalized m, k signed partial 1-factor. We analyse the irreducible representations of $D^G_f(x)$ by determining the quotient $^{\rightarrow}_{I_f}^G(x,2k)$ of $D^G_f(x)$ by its radical. We also find the eigenvalues and eigenspaces of $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ for some values of m and k using the representation theory of the generalised symmetric group. The matrices $T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalised m, k signed partial 1-factors, which helps in determining the non semisimplicity of these cyclic G-Brauer algebras $D^G_f(x)$, where G = ℤr.

ON CONJUGACY OF p-GONAL AUTOMORPHISMS

  • Hidalgo, Ruben A.
    • 대한수학회보
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    • 제49권2호
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    • pp.411-415
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    • 2012
  • In 1995 it was proved by Gonz$\acute{a}$lez-Diez that the cyclic group generated by a p-gonal automorphism of a closed Riemann surface of genus at least two is unique up to conjugation in the full group of conformal automorphisms. Later, in 2008, Gromadzki provided a different and shorter proof of the same fact using the Castelnuovo-Severi theorem. In this paper we provide another proof which is shorter and is just a simple use of Sylow's theorem together with the Castelnuovo-Severi theorem. This method permits to obtain that the cyclic group generated by a conformal automorphism of order p of a handlebody with a Kleinian structure and quotient the three-ball is unique up to conjugation in the full group of conformal automorphisms.

On free product in $V(ZS_3)$

  • Shin, Hyunyong;Lyou, Ikseung;Dixon, Martrn R.
    • 대한수학회보
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    • 제34권4호
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    • pp.637-643
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    • 1997
  • The group $V(ZS_3)$ of units of augmentation 1 in the integral group ring $ZS_3$ is characterized as the free product of $C_2$ and $S_3$, where $C_2$ is the cyclic group of order 2.

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황산 용액중의 분극시 나타나는 탄소전극들의 계면반응 (Study on the surface reactions of carbon and graphite electrodes in sulfuric acid solution)

  • 오한준;김인기;이종호;이영훈
    • 한국결정성장학회지
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    • 제6권4호
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    • pp.648-662
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    • 1996
  • 임피던스 스펙트럼을 이용하여 황산 용액에서 glassy carbon과 인조흑연(PVDF 합성 흑연)의 전극표면에 cyclic 분극을 부하 하였을 경우 전극표면에서 나타나는 표면반응에 대하여 조사하여 . 두 재료 표면에서 산소의 산화 혹은 환원과 관련되거나 또는 탄소재료 표면에 화학흡착된 표면작용기(surface functional group)의 변화와 관련되는 것으로 생각되는 산화환원 피크가 potentio-dynamic곡선에서 나타났다. 이러한 전극 표면에서의 표면작용기의 산화환원은 glassy carbon과 PVDF합성 흑연의 임피던스 스펙트럼에도 커다란 영향을 미치는 것으로 나타났다. 또 glassy carbon과 PVDF합성 흑연에서의 임피던스 파라미터는 분극부하에의해 현저한 변화가 나타났다.가 나타났다.

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임플랜트 상부구조의 재료가 반복하중 후 나사풀림에 미치는 영향 (AN INFLUENCE OF ABUTMENT MATERIALS ON A SCREW-LOOSENING AFTER CYCLIC LOADING)

  • 이태식;한중석;양재호;이재봉;김성훈
    • 대한치과보철학회지
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    • 제45권2호
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    • pp.240-249
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    • 2007
  • Statement of problem: A phenomenon of screw-loosening in implant abutment is frequently occurred in a single and multiple implant restoration. Purpose: This study was performed to evaluate an effect of abutment material on screw-loosening before and after a cyclic loading. In a single-tooth implant, different materials of abutment, Type III Gold alloy and Zirconium composite$(ZrO_2/Al_2O_3)$ were used. Material and method: The Gold alloy(Type III) and Zirconium composite$(ZrO_2/Al_2O_3)$ were used to make a superstructure of implant, the one of types of UCLA, Each group was constituted of 5 sample with a 30-degree offset angulated loading platform. The external hexagonal fixture was rigidly hel d in a special holding zig to ensure solid fixation without rotation during the tightening and a cyclic loading. A Titanium-alloy screw was used to connect and controlled to be tighten in 20Ncm torque by a digital torque gauge. A 20 times of consecutive closing/opening cycle were performed to evaluate the immediate torque loss. In 5 sample of each material group, an initial opening torque was recorded during 3 closing/opening cycle, then 2Hz, 200N, 1,000,000 cyclic loadings were performed, then a opening torque was evaluated. Result & Conclusion: 1. In this limited study, titanium alloy screw tightened in 20Ncm, a cold-welding phenomen on was not observed during the 20 times of closing/opening cycle(p=0.11, p=0.18). 2. In titanium alloy abutment screw, repeated opening and closing of the screw caused to progressive decrease of opening torque(p=0.014). 3. The difference in preload of screw between gold alloy abutment and ceramic$(ZrO_2/Al_2O_3)$ abutment was not significant(p=0.78). 4. The difference in torque loss of screw between gold alloy abutment and ceramic$(ZrO_2/Al_2O_3)$ abutment was not significant after 2Hz,200N, 1,000,000 cyclic loading(p=0.92). 5. In titanium alloy abutment screw tightened by 20Ncm, the screw loosening was not significant on each group after 2Hz, 200Ncm, 1,000,000 cyclic loading(p=0.59).

새로운 타이타늄 구성요소를 사용한 내부연결 임플란트용 지르코니아 지대주의 동적하중 후 나사 제거력 (Removal torque of a two-piece zirconia abutment with a novel titanium component in an internal connection implant system after dynamic cyclic loading)

  • 이주희
    • 대한치과보철학회지
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    • 제55권2호
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    • pp.151-155
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    • 2017
  • 목적: 이 연구의 목적은 새로운 타이타늄 구성요소를 가진 지르코니아 지대주의 나사 제거력의 변화에 대해 알아보는 것이다. 내부연결 임플란트를 위한 새로운 지르코니아 지대주의 동적하중 후 지대주 나사의 제거력을 기존의 타이타늄 지대주와 비교하여 분석하였다. 재료 및 방법: 내측연결 임플란트와 타이타늄 지대주, 타이타늄 구성요소를 가진 지르코니아 지대주를 준비하였다. 12개의 내부연결형 임플란트에 6개의 타이타늄 지대주를 연결하고(대조군), 6개의 타이타늄 구성요소를 가진 지르코니아 지대주(실험군)를 30 Ncm의 토크로 연결한 후 동적하중 전후의 나사 제거력을 측정하였다. 동적 만능재료시험기를 사용하여 연결체의 장축과 30도 각도를 이루도록 하고 300 N 하중크기로 100만번의 하중이 가해졌다. 동적하중 전후의 지대주 나사 제거력을 t검정을 통해 신뢰구간 95%로 통계적 유의성을 검증하였다. 결과: 두 그룹 모두에서 동적하중 후 나사 풀림을 보이지 않았다. 동적 하중 전후의 나사 제거력은 두 그룹 모두에서 통계적으로 유의한 차이가 있게 나타났다(P < .05). 동적 하중 전후의 나사 제거력 차이는 대조군에서 $-7.25{\pm}1.50Ncm$, 실험군에서 $-7.33{\pm}0.93Ncm$ 로 나타났다. 통계분석 결과 두 군간에 나사 제거력 차이에서는 유의한 차이를 보이지 않았다(P > .05). 결론: 이 실험의 결과에 한하여 타이타늄 구성요소를 사용한 지르코니아 지대주의 동적하중 후 지대주 나사 제거력의 변화는 타이타늄 지대주와 통계학적으로 유의한 차이를 보이지 않았다.

Effect of cyclic loading and retightening on reverse torque value in external and internal implants

  • Cho, Woong-Rae;Huh, Yoon-Hyuk;Park, Chan-Jin;Cho, Lee-Ra
    • The Journal of Advanced Prosthodontics
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    • 제7권4호
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    • pp.288-293
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    • 2015
  • PURPOSE. The aim of this study was to evaluate the effect of cyclic loading and screw retightening on reverse torque value (RTV) in external and internal type implants. MATERIALS AND METHODS. Cement-retained abutments were connected with 30 Ncm torque to external and internal type implants. Experimental groups were classified according to implant connection type and retightening/loading protocol. In groups with no retightening, RTV was evaluated after cyclic loading for 100,000 cycles. In groups with retightening, RTV was measured after 3, 10, 100 cycles as well as every 20,000 cycles until 100,000 cycles of loading. RESULTS. Every group showed decreased RTV after cyclic loading. Before and after cyclic loading, external type implants had significantly higher RTVs than internal type implants. In external type implants, retightening did not affect the decrease in RTV. In contrast, retightening 5 times and retightening after 10 cycles of dynamic loading was effective for maintaining RTV in internal type implants. CONCLUSION. Retightening of screws is more effective in internal type implants than external type implants. Retightening of screws is recommended in the early stage of functional loading.

Short-term cyclic performance of metal-plate-connected wood truss joints

  • Gupta, Rakesh;Miller, Thomas H.;Freilinger, Shawn M. Wicks
    • Structural Engineering and Mechanics
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    • 제17권5호
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    • pp.627-639
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    • 2004
  • The objective of this research was to evaluate the performance of metal-plate-connected truss joints subjected to cyclic loading conditions that simulated seismic events in the lives of the joints. We also investigated the duration of load factor for these joints. We tested tension splice joints and heel joints from a standard 9.2-m Fink truss constructed from $38-{\times}89-mm$ Douglas-fir lumber: 10 tension splice joints for static condition and for each of 6 cyclic loading conditions (70 joints total) and 10 heel joints for static condition and for each of 3 cyclic loading conditions (40 joints total). We evaluated results by comparing the strengths of the control group (static) with those of the cyclic loading groups. None of the cyclic loading conditions showed any strength degradation; however, there was significant stiffness degradation for both types of joint. The results of this research show that the current duration of load factor of 1.6 for earthquake loading is adequate for these joints.

Analysis of Lead Ions in a Waste Solution Using Infrared Photo-Diode Electrode

  • Ly, Suw-Young;Lee, Hyun-Kuy;Kwak, Kyu-Ju;Ko, Jun-Seok;Lee, Jeong-Jae;Cho, Jin-Hee;Kim, Ki-Hong;Kim, Min-Seok;Lee, So-Jung
    • Toxicological Research
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    • 제24권3호
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    • pp.227-233
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    • 2008
  • To detect lead ions using electrochemical voltammetric analysis, Infrared Photo-Diode Electrode(IPDE) was applied via cyclic and square wave stripping voltammetry. Lead ions were deposited at 0.5 V(versus Ag/AgCl) accumulation potential. Instrumental measurements systems were made based on a simple and compact detection system. The stripping voltammetric and cyclic voltammetric optimal parameters were searched. The results yielded a cyclic range of $40{\sim}240mgl^{-1}$ Pb(II) and a square wave stripping working range of $0.5{\sim}5.00mgl^{-1}$ Pb(II). The relative standard deviation at 2 and 4 $mgl^{-1}$ Pb(II) was 0.04% and 0.02%(n=15), respectively, using the stripping voltammetric conditions. The detection limit was found to be 0.05 $mgl^{-1}$ with a 40 sec preconcentration time. Analytical interference ions were also evaluated. The proposed method was applied to determine lead ions in various samples.

Comparative study of abutment screw loosening with or without adhesive material

  • Arshad, Mahnaz;Shirani, Gholamreza;Refoua, Sina;Yeganeh, Mohammadreza Rahimi
    • The Journal of Advanced Prosthodontics
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    • 제9권2호
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    • pp.99-103
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    • 2017
  • PURPOSE. The purpose of this study was to achieve more retention and stability and to delay or prevent screw loosening. MATERIALS AND METHODS. Twenty implants (Implantium 3.4 mm, Dentium, Seoul, Korea) were divided into 2 groups (n = 20). In the first group, an adhesive material was applied around the screw of the abutments (test group). In the second group, the screws are soaked in saliva (control group). All the screws were torqued under 30 N/cm, Then, the samples were gone through a cyclic fatigue loading process. After cyclic loading, we detorqued screws and calculated detorque value. RESULTS. In comparison with the control group, all the implant screws in the test group were smeared with the adhesive material, showing significant higher detorque value. CONCLUSION. There are significantly higher detorque values in the group with adhesive. It is recommended to make biocompatible adhesive to reduce screw loosening.