A Note on Bosbach’s Cone Algebras

Studia Logica 98 (3):375-386 (2011)
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Abstract

In 2002, Dvurečenskij extended Mundici’s equivalence between unital abelian l -groups and MV-algebras to the non-commutative case. We analyse the relationship to Bosbach’s cone algebras and clarify the rôle of the corresponding pair of L -algebras. As a consequence, it follows that one of the two L -algebra axioms can be dropped

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Non-commutative logical algebras and algebraic quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.

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