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math.CT2025
Morita Equivalence for Quantales
Moacyr Rodrigues, Ciro Russo
We study Morita equivalence in the context of quantales with identity, in the wake of Katsov and Nam's analogous work on semirings. Among a number of other results, we prove a char…
math.LO2025
The category of propositional deductive systems
Ciro Russo
We define the category $\QM$ of quantales and their modules and prove the existence of coproducts, and the existence of pushout and amalgamated coproducts under certain conditions.…
math.CT2025★ 1 cited
An extension of Priestley duality to fuzzy topologies and positive MV-algebras
Marby Zuley Bolaños Ortiz, Ciro Russo
We extend Priestley Duality to suitable categories of fuzzy topological spaces and ordered algebraic structures that generalize bounded distributive lattices. The duality we prove…