19 citations · 19 across the 1 of their papers we have counts for
4 papers
Quantale Modules, with Applications to Logic and Image Processing
Ciro Russo
We propose a categorical and algebraic study of quantale modules. The results and constructions presented are also applied to abstract algebraic logic and to image processing tasks…
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…
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…
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.…