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Intervals of effect algebras and pseudo-effect algebras

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Mathematica Slovaca

Abstract

It is shown that an arbitrary interval of a pseudo-effect algebra is a pseudo-effect algebra and some results concerning Riesz decomposition properties, compatibilities and states are proved.

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Authors and Affiliations

  1. Department of Algebra and Geometry Faculty of Science, Palacký University in Olomouc, Tř. 17. listopadu 12, CZ-77146, Olomouc, Czech Republic

    Ivan Chajda & Jan Kühr

Authors
  1. Ivan Chajda
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  2. Jan Kühr
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Corresponding author

Correspondence to Ivan Chajda.

Additional information

Communicated by Anatolij Dvurečenskij

Dedicated to Professor Sylvia Pulmannová on the occasion of her 70th birthday

Supported by the Czech Government Research Project MSM6198959214.

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Chajda, I., Kühr, J. Intervals of effect algebras and pseudo-effect algebras. Math. Slovaca 60, 615–630 (2010). https://doi.org/10.2478/s12175-010-0036-4

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  • DOI: https://doi.org/10.2478/s12175-010-0036-4

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