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MV-Algebra Pasting

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Abstract

Z. Riečanová proved that every D-lattice is a set-theoretical union of MV-algebras. These MV-algebras are blocks in the D-lattice. There is a dual question: How can we construct a D-poset from a given collection of MV-algebras. To solve this problem we use the “pasting” technique. We define an admissible system of MV-algebras and we prove that the pasting of this system is a D-poset.

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Authors and Affiliations

  1. Department of Mathematics, Military Akademy, Slovak Republic

    Ferdinand Chovanec & Mária Jurečková

Authors
  1. Ferdinand Chovanec
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  2. Mária Jurečková
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Chovanec, F., Jurečková, M. MV-Algebra Pasting. International Journal of Theoretical Physics 42, 1913–1926 (2003). https://doi.org/10.1023/A:1027374700894

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  • DOI: https://doi.org/10.1023/A:1027374700894

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