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Generalization of Blocks for D-Lattices and Lattice-Ordered Effect Algebras

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Abstract

We show that everyD-lattice (lattice-ordered effect algebra)P is a set-theoreticunion of maximal subsets of mutually compatible elements, called blocks.Moreover, blocks are sub-D-lattices and sub-effect-algebras ofP which areMV-algebras closed with respect to all suprema and infima existing inP.

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

    Zdenka Riečanová

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  1. Zdenka Riečanová
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Riečanová, Z. Generalization of Blocks for D-Lattices and Lattice-Ordered Effect Algebras. International Journal of Theoretical Physics 39, 231–237 (2000). https://doi.org/10.1023/A:1003619806024

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