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Article Dans Une Revue Forum Mathematicum Année : 2021

Priestley duality for MV-algebras and beyond

Wesley Fussner
  • Fonction : Auteur
Mai Gehrke
Vincenzo Marra
  • Fonction : Auteur

Résumé

Abstract We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.

Dates et versions

hal-03456528 , version 1 (30-11-2021)

Identifiants

Citer

Wesley Fussner, Mai Gehrke, Samuel van Gool, Vincenzo Marra. Priestley duality for MV-algebras and beyond. Forum Mathematicum, 2021, 33 (4), pp.899-921. ⟨10.1515/forum-2020-0115⟩. ⟨hal-03456528⟩
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