数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 625-632.

• • 上一篇    

FI代数的模糊MP滤子格

  

  1. 1. School of Mathematics and Statistics, Chifeng University2. Department of Mathematics Science, Yangzhou University
  • 收稿日期:2013-02-02 出版日期:2013-12-30 发布日期:2023-02-20
  • 作者简介:LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in Domain theory, non-classical mathematical logic and topology; XU Luo-shan(1957-), male, native of Yangzhou, Jiangsu, a professor of Yangzhou University, Ph.D., engages in Domain theory, non-classical mathematical logic and topology.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(10371106,60774073)

Fuzzy MP-filters Lattice on a Given FI-algebra

  1. 1. School of Mathematics and Statistics, Chifeng University2. Department of Mathematics Science, Yangzhou University
  • Received:2013-02-02 Online:2013-12-30 Published:2023-02-20
  • About author:LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in Domain theory, non-classical mathematical logic and topology; XU Luo-shan(1957-), male, native of Yangzhou, Jiangsu, a professor of Yangzhou University, Ph.D., engages in Domain theory, non-classical mathematical logic and topology.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10371106,60774073)

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摘要： In this paper, the properties of fuzzy MP-filters are discussed by using methods of Domain theory in FI-algebras. It is proved that all fuzzy MP-lters of a given FI-algebra form a distributive algebraic lattice, particularly form a frame.

关键词: FI-algebra, fuzzy MP-filter, algebraic lattice, continuous lattice

Abstract: In this paper, the properties of fuzzy MP-filters are discussed by using methods of Domain theory in FI-algebras. It is proved that all fuzzy MP-lters of a given FI-algebra form a distributive algebraic lattice, particularly form a frame.

Key words: FI-algebra, fuzzy MP-filter, algebraic lattice, continuous lattice

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