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Duality Theory and Skeleta for Semisimple MV-Algebras

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Abstract

We start from Marra–Spada duality between semisimple MV-algebras and Tychonoff spaces, and we consider the particular cases when the \(\omega \)-skeleta of the MV-algebras are restricted in some way. In particular we consider antiskeletal MV-algebras, that is, the ones whose \(\omega \)-skeleton is trivial.

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Acknowledgements

The authors thank Vincenzo Marra for useful discussions.

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Authors and Affiliations

  1. Department of Mathematics, University of Salerno, Fisciano, Italy

    Antonio  Di  Nola & Giacomo Lenzi

  2. IIASS (Istituto Internazionale per gli Alti Studi Scientifici), Vietri sul Mare, SA, Italy

    Antonio  Di  Nola

Authors
  1. Antonio  Di  Nola
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  2. Giacomo Lenzi
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Corresponding author

Correspondence to Giacomo Lenzi.

Additional information

Presented by Jacek Malinowski; Received July 19, 2017.

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 Di  Nola, A., Lenzi, G. Duality Theory and Skeleta for Semisimple MV-Algebras. Stud Logica 106, 1239–1260 (2018). https://doi.org/10.1007/s11225-018-9787-7

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  • DOI: https://doi.org/10.1007/s11225-018-9787-7

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