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Subdirect Decompositions of Lattice Effect Algebras

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Abstract

We prove a theorem about subdirect decompositions of lattice effect algebras. Further, we show how, under these decompositions, blocks, sets of sharp elements and centers of those effects algebras are decomposed. As an application we prove a statement about the existence of subadditive state on some block-finite effect algebras.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak Technical University, Ivkovičova 3, 812 19, Bratislava, Slovak Republic

    Zdenka Riečanová

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  1. Zdenka Riečanová
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Riečanová, Z. Subdirect Decompositions of Lattice Effect Algebras. International Journal of Theoretical Physics 42, 1425–1433 (2003). https://doi.org/10.1023/A:1025775827938

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  • DOI: https://doi.org/10.1023/A:1025775827938

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