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A categorical equivalence between logical quantale modules and quantum B‐modules
Mathematical Logic Quarterly (forthcoming)
Abstract
This paper introduces the notion of logical quantale module. It proves that there is a dual equivalence between the category of logical quantale modules and the category of quantum B‐modules, in the way that every quantum B‐module admits a natural embedding into a logical quantale module, the enveloping quantale module.Other Versions
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References found in this work
Non-commutative logical algebras and algebraic quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.
An order-theoretic analysis of interpretations among propositional deductive systems.Ciro Russo - 2013 - Annals of Pure and Applied Logic 164 (2):112-130.
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