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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 62, Issue 6

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A generalization of effect algebras and ortholattices

Ivan Chajda
  • Department of Algebra and Geometry Faculty of Science, Palacký University in Olomouc, 17. listopadu 12, CZ-77146, Olomouc, Czech Republic
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/ Jan Kühr
  • Department of Algebra and Geometry Faculty of Science, Palacký University in Olomouc, 17. listopadu 12, CZ-77146, Olomouc, Czech Republic
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Published Online: 2012-12-20 | DOI: https://doi.org/10.2478/s12175-012-0063-4

Abstract

A common generalization of effect algebras and ortholattices that allows to represent ortholattices in a similar way in which orthomodular lattices are represented in the setting of effect algebras is introduced.

MSC: Primary 03G12, 06C15, 08A55, 81P10

Keywords: effect algebra; ortholattice; pre-effect algebra; generalized pre-effect algebra

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About the article

Published Online: 2012-12-20

Published in Print: 2012-12-01


Citation Information: Mathematica Slovaca, Volume 62, Issue 6, Pages 1045–1062, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-012-0063-4.

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© 2012 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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