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《Journal of Guangxi Normal University(Natural Science Edition)》 2007-01
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Some Characteristics of Ring Theory Andgraph Theory on Finite Group Automata

YAN Hang-yu,YI Zhong,DENG Pei-min(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China)  
This paper mainly describes finite group automata through the study of their incidence rings and induced graphs,and gives the principles to judge the irreducible and the indecomposable of finite group automata.
【Fund】: 国家自然科学基金资助项目(60473005);; 教育部“优秀青年教师资助计划”资助项目(2002-40);; 广西自然科学基金资助项目(0640061)
【CateGory Index】: TP301.1
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【References】
Chinese Journal Full-text Database 3 Hits
1 TANG Heng-qi,YI Zhong,DENG Pei-min(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Reduction of a Kind of Finite-State Automata Over Unitary Semirings[J];Journal of Guangxi Normal University(Natural Science Edition);2008-04
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3 LIU Yi1,MIN Lan2,LI Sheng-lin3,GAO Li3(1.Department of Computer Science,Yibin University,Yibin 644007,Sichuan; 2.College of Information Management,Chengdu University of Technology,Chengdu 610059,Sichuan;3.Department of Automation,Logistical Engineering University,Chongqing 400016);Matrix Format of Deterministic Finite Automata[J];Journal of Sichuan Normal University(Natural Science);2009-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 CAO Feng,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University ,Guilin 541004,China);SOME RESULTS OF INVERTIBILITY OF MOORE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2003-04
2 WEN Yi-ling,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);SOME RESULTS ON COMPOSITION OF FINITE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2005-02
【Co-citations】
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1 FENG Wen-jun1, DENG Pei-min2, YI Zhong2 (1-Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006; 2-College of Mathematics, Guangxi Normal University, Guilin 541004);Some Products on the Input-memory Linear Finite Automata[J];Chinese Journal of Engineering Mathematics;2009-03
2 LIN Li,DENG Ting,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);ON INVERTIBILITY OF PRODUCT OF FINITE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2004-01
3 WEN Yi-ling,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);SOME RESULTS ON COMPOSITION OF FINITE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2005-02
4 YAN Hang-yu,XIE Zheng-wei,DENG Pei-min,YI Zhong(College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);Functions of Zero State of Linear Finite Automata[J];Journal of Guangxi Normal University(Natural Science Edition);2006-01
5 FENG Wen-jun,YI Zhong,DENG Pei-min(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Covering Relations of Products on State Machines and Transformation Semigroups[J];Journal of Guangxi Normal University(Natural Science Edition);2007-01
6 YAO Xing-hua,DENG Pei-min,YI Zhong (College of Mathmatical Science,Guangxi Normal University,Guilin 541004,China);Result about Decomposition of Weakly Invertible Finite Automata[J];Journal of Guangxi Normal University(Natural Science Edition);2008-01
【Co-references】
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1 HAN Jin1,2, CHENG Yong1 (1. College of Mechanical &Electronic Engineering and Automation, Shanghai University,Shanghai 200072,China ;2.College of Info & Engineering, Shandong University of Science & Technology, Taian 271019,China);VHDL design of finite state machines[J];Journal of Liaoning Technical University;2005-02
2 LIN Li~(1,2),YI Zhong~2,DENG Pei-min~2(1.School of Computer Science and Engineering,Beihang University,Beijing 100083,China;2.College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);LINEAR CELLULAR AUTOMATA OVER A FINITE COMMUNITIVE RING[J];Journal of Guangxi Normal University(Natural Science);2005-03
3 FENG Wen-jun,YI Zhong,DENG Pei-min(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Covering Relations of Products on State Machines and Transformation Semigroups[J];Journal of Guangxi Normal University(Natural Science Edition);2007-01
4 TANG Gao-hua,SU Hua-dong,ZHAO Shou-xiang(Department of Mathematics and Computer Science, Guangxi Teachers' College,Nanning 530001,China);Properties of Zero-divisor Graph of Z_n[i][J];Journal of Guangxi Normal University(Natural Science Edition);2007-03
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6 Lei Hongxuan1 Li Yongming21(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112)2(College of Computer Science,Shannxi Normal University,Xi'an 710062);Reduction and Minimization Algorithm of Synchronous Lattice-valued Automata[J];Computer Engineering and Applications;2006-16
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10 ZHOU Ping~(1,2),JIANG Ming~3,XU Yang~1(1.Department of Applied Mathematics,Southwest Jiaotong University,Chengdu 610031,Sichuan;2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan;3.College of Electric Information and Engineering,Southwest University for Nationalities,Chengdu 610041,Sichuan);Uncertainty Reasoning Based on the Lattice-valued Propositional Logic LP(X)[J];Journal of Sichuan Normal University(Natural Science);2006-05
【Secondary Citations】
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1 LIU Mu-ren,DENG Min-yi,KONG Ling-jiang (Department of Physics and Electronic Science,Guangxi Normal University,Guilin 541004,China);CELLULAR AUTOMATA FOR THE INFECT OF PUBLIC OPINION[J];Journal of Guangxi Normal University(Natural Science);2002-02
2 CAO Feng,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University ,Guilin 541004,China);SOME RESULTS OF INVERTIBILITY OF MOORE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2003-04
3 LIN Li,DENG Ting,DENG Pei-min,YI Zhong (College of Mathematics and Computer Science,Guangxi Normal University,Guilin 541004,China);ON INVERTIBILITY OF PRODUCT OF FINITE AUTOMATA[J];Journal of Guangxi Normal University(Natural Science);2004-01
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