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Prime LI-ideal Topological Spaces of Lattice Implication Algebras

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Advances in Computational Science and Computing (ISCSC 2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 877))

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Abstract

In this paper, topological spaces based on prime LI-ideals and maximal LI-ideals of a lattice implication algebra are constructed. We conclude that the topological space based on prime LI-ideals is a compact \(T_0\) space and the topological space based on maximal LI-ideals is a compact \(T_2\) space.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Chifeng University, Chifeng, 024000, Inner Mongolia, China

    Chunhui Liu

Authors
  1. Chunhui Liu
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Corresponding author

Correspondence to Chunhui Liu .

Editor information

Editors and Affiliations

  1. Division of Intelligent Future Technologies, Mälardalen University, Västerås, Sweden

    Ning Xiong

  2. School of Information Science and Technology, Hunan University, Changsha, Hunan, China

    Zheng Xiao

  3. School of Computer Science, Hunan Normal University, Changsha, Hunan, China

    Zhao Tong

  4. Hunan University of Chinese Medicine, School of Computer Science, Changsha, Hunan, China

    Jiayi Du

  5. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  6. Design and Physical Sciences Brunel, Electronic and Computer Engineering, College of Engineering, Uxbridge, Middlesex, UK

    Maozhen Li

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Liu, C. (2019). Prime LI-ideal Topological Spaces of Lattice Implication Algebras. In: Xiong, N., Xiao, Z., Tong, Z., Du, J., Wang, L., Li, M. (eds) Advances in Computational Science and Computing. ISCSC 2018 2018. Advances in Intelligent Systems and Computing, vol 877. Springer, Cham. https://doi.org/10.1007/978-3-030-02116-0_10

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