Subdirect Decompositions of Lattice Effect Algebras |
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| Authors: | Zdenka Riečanová |
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| Affiliation: | (1) Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak Technical University, Ivkovi!["ccaron"]("/content/j54052084w3l308p/xlarge269.gif") ova 3, 812 19 Bratislava, Slovak Republic |
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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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| Keywords: | effect algebras central elements blocks states subdirect decompositions |
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