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Anti-BZ-Structure in Effect Algebras

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Abstract

The definitions of sharply approximating effect algebras, anti-BZ-effect algebras, central approximating effect algebras, and S-anti-BZ-effect algebras are given, the relationships between sharply approximating effect algebras and anti-BZ-effect algebras, between central approximating effect algebras and anti-BZ-effect algebras are established, and the set of anti-BZ-sharp elements in S-anti-BZ-effect algebras is proved to be an orthomodular lattice.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, People's Republic of China

    Shang Yun & Li Yongming

  2. Department of Automation, Tsinghua University, Beijing, People's Republic of China

    Chen Maoyin

Authors
  1. Shang Yun
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  2. Li Yongming
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  3. Chen Maoyin
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Correspondence to Shang Yun.

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Yun, S., Yongming, L. & Maoyin, C. Anti-BZ-Structure in Effect Algebras. International Journal of Theoretical Physics 43, 359–368 (2004). https://doi.org/10.1023/B:IJTP.0000028869.54977.67

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  • DOI: https://doi.org/10.1023/B:IJTP.0000028869.54977.67

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