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Coupled Right Orthosemirings Induced by Orthomodular Lattices

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Abstract

L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings. A similar connection was found for basic algebras and semilattice ordered right near semirings by the authors. The aim of this paper is to derive an analogous connection for orthomodular lattices and certain semilattice ordered near semirings via so-called coupled right orthosemirings.

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Authors and Affiliations

  1. Faculty of Science, Department of Algebra and Geometry, Palacký University Olomouc, 17. listopadu 12, 77146, Olomouc, Czech Republic

    Ivan Chajda

  2. Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry, TU Wien, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria

    Helmut Länger

Authors
  1. Ivan Chajda
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  2. Helmut Länger
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Correspondence to Helmut Länger.

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Chajda, I., Länger, H. Coupled Right Orthosemirings Induced by Orthomodular Lattices. Order 34, 1–7 (2017). https://doi.org/10.1007/s11083-015-9383-7

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  • DOI: https://doi.org/10.1007/s11083-015-9383-7

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