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Interpolations in Posets and Effect Algebras

  • Josef TkadlecEmail author
Article

Abstract

We study various types of the interpolation property in posets and effect algebras. We present connections to other properties of posets and effect algebras (completeness, orthocompleteness, maximality property) and a theorem about preserving compatibility to suprema and infima using an interpolation property.

Keywords

Effect algebra Poset Interpolation Orthocomplete Weakly orthocomplete Maximality property Pseudolattice Compatibility 

Notes

Acknowledgments

This work was supported by the project OPVVV CAAS CZ.02.1.01/0.0/0.0/16_019/ 0000778.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Electrical EngineeringCzech Technical University in PraguePrahaCzech Republic

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