JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 97-103.doi: 10.6040/j.issn.1671-9352.0.2016.405

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Topological effect algebras

ZHANG Qiao-wei1, GUO Zhi-hua2, CAO Huai-xin2   

  1. 1. Department of Mathematics and Statistics, Yulin University, Yulin 719000, Shaanxi, China;
    2. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Received:2016-09-02 Online:2017-10-20 Published:2017-10-12

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Abstract: Topological structure is introduced on some classic effect algebras, and so the effect algebras become topological effect algebras. We prove that the direct sum of two topological effect algebras is still topological effect algebra, and the fuzzy system of topological effect algebra is still topological effect algebra. Continious map between topological effect algebras are given, and the continuity of morphisms, monomorphisms and isomorphic are discussed. Finally, it is proved that the set of all continious maps from a topological effect algebra to another is also a topological effect algebra.

Key words: topological effect algebras, morphism, continuous map

CLC Number: 

  • O177.1
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