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States on sharply dominating effect algebras

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Abstract

We prove that sharply dominating Archimedean atomic lattice effect algebras can be characterized by the property called basic decomposition of elements. As an application we prove the state smearing theorem for these effect algebras.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak Technology University, Ilkovičova 3, SK-812 19, Bratislava, Slovakia

    Zdenka Riečanová

  2. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    JunDe Wu

Authors
  1. Zdenka Riečanová
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  2. JunDe Wu
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Corresponding author

Correspondence to JunDe Wu.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10771191, 10471124), the Natural Science Foundation of Zhejiang Province (Grant Nos. M103057, 10771191), the Slovak Research and Development Agency under the contracts SK-CN-017-06 and APVV-0071-06

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Riečanová, Z., Wu, J. States on sharply dominating effect algebras. Sci. China Ser. A-Math. 51, 907–914 (2008). https://doi.org/10.1007/s11425-007-0163-8

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  • DOI: https://doi.org/10.1007/s11425-007-0163-8

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