Spada, Luca:
Geometrical Dualities for Łukasiewicz Logic
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 749-763, (English)
pdf (388 Kb), djvu (170 Kb). | MR 3202853
Sunto
This article develops a general dual adjunction between MV-algebras (the algebraic equivalents of Łukasiewicz logic) and subspaces of Tychonoff cubes, endowed with the transformations that are definable in the language of MV-algebras. Such a dual adjunction restricts to a duality between semisimple MV-algebras and closed subspaces of Tychonoff cubes. Further the duality theorem for finitely presented objects is obtained from the general adjunction by a further specialisation. The treatment is aimed at emphasising the generality of the framework considered here in the prototypical case of MV-algebras.
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Con il contributo del Ministero per i Beni e le Attività Culturali