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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Rump, W., Yang, Y. A Note on Bosbach’s Cone Algebras. Stud Logica 98, 375–386 (2011). https://doi.org/10.1007/s11225-011-9340-4
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DOI: https://doi.org/10.1007/s11225-011-9340-4