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Full but not strong dualities at the finite level: Extending the realm

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Abstract.

The realm of natural dualities that are known to be full but not strong at the finite level is a very small one, consisting of a single example. This example, based on the three-element bounded distributive lattice, was presented by Davey, Haviar and Willard [8]. In this paper, we extend this realm to the class of all natural dualities based on a finite non-boolean bounded distributive lattice.

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Authors and Affiliations

  1. Department of Mathematics, La Trobe University, Victoria, 3086, Australia

    Brian A. Davey, Todd Niven & Narwin Perkal

  2. Department of Mathematics, Matej Bel University, 974 01, Banska Bystrica, Slovakia

    Miroslav Haviar

Authors
  1. Brian A. Davey
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  2. Miroslav Haviar
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  3. Todd Niven
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  4. Narwin Perkal
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Corresponding author

Correspondence to Brian A. Davey.

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Received June 15, 2005; accepted in final form November 26, 2005.

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Davey, B.A., Haviar, M., Niven, T. et al. Full but not strong dualities at the finite level: Extending the realm. Algebra univers. 56, 37–56 (2007). https://doi.org/10.1007/s00012-006-1979-8

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  • DOI: https://doi.org/10.1007/s00012-006-1979-8

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