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Minimal Varieties of Involutive Residuated Lattices

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Abstract

We establish the existence uncountably many atoms in the subvariety lattice of the variety of involutive residuated lattices. The proof utilizes a construction used in the proof of the corresponding result for residuated lattices and is based on the fact that every residuated lattice with greatest element can be associated in a canonical way with an involutive residuated lattice.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, TN, U.S.A.

    Constantine Tsinakis

  2. Department of Mathematics, Technische Universität Darmstadt, Schlossgartenstrasse 7, Darmstadt, 64289, Germany

    Annika M. Wille

Authors
  1. Constantine Tsinakis
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  2. Annika M. Wille
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Correspondence to Constantine Tsinakis.

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Dedicated to the memory of Willem Johannes Blok

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Tsinakis, C., Wille, A.M. Minimal Varieties of Involutive Residuated Lattices. Stud Logica 83, 407–423 (2006). https://doi.org/10.1007/s11225-006-8311-7

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  • DOI: https://doi.org/10.1007/s11225-006-8311-7

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