GL-Quantales: Q-valued sets and their singletons [Book Review]

Studia Logica 61 (1):123-148 (1998)
Q-valued sets are non-classical models of the formalized theory of identity with existence predicate based on the axioms of a non-commutative and non-idempotent logic. The singleton monad on the category of Q-valued sets is constructed, and elementary properties of T-algebras of the singleton monad are investigated.
Keywords Non-commutative and non-idempotent logics  GL-monoids  GL-quantales  Gelfand quantales  Q-valued vets  singleton monad
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DOI 10.1023/A:1005038532285
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