Anti-BZ-Structure in Effect Algebras |
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| Authors: | Shang Yun Li Yongming Chen Maoyin |
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| Institution: | (1) College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, People's Republic of China;(2) Department of Automation, Tsinghua University, Beijing, People's Republic of China |
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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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| Keywords: | sharply approximating effect algebras anti-BZ-effect algebras central approximating effect algebras S-anti-BZ-effect algebras |
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