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Lattice-Semigroups Tree Automation’s Congruence and Homomorphism

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Fuzzy Information & Engineering and Operations Research & Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 211))

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Abstract

The partial order of lattice elements in lattice-semigroup tree automata(LSTA) is defined in this paper. We proved the existence of semilattices and also lattices formed by different types of LSTA. Finally, we investigate the congruence and homomorphism of lattice-semigroup by LSTA formed from the algebra angle, Then we obtain homomorphism fundamental theorem of the LSTA.

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Acknowledgments

The authors are very grateful to the anonymous referee for his/her careful review and constructive suggestions.This work is supported by the National Natural Science Foundation of China (Grant No.11071178), the Research Foundation of the Education Department of Sichuan Province (Grant No. 12ZB106) and the Research Foundation of Sichuan Normal University (Grant No. 10MSL06).

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu , 610066, China

    Xiao-feng Huang & Zhi-wen Mo

Authors
  1. Xiao-feng Huang
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  2. Zhi-wen Mo
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Corresponding author

Correspondence to Xiao-feng Huang .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University Higher Education Mega Center, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar, Iran

    Hadi Nasseri

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Huang, Xf., Mo, Zw. (2014). Lattice-Semigroups Tree Automation’s Congruence and Homomorphism. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_17

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  • DOI: https://doi.org/10.1007/978-3-642-38667-1_17

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38666-4

  • Online ISBN: 978-3-642-38667-1

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