31 citations · 126 across the 16 of their papers we have counts for
17 papers
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.…
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…
Coproduct and amalgamation of deductive systems by means of ordered algebras
Ciro Russo
We propose various methods for combining or amalgamating propositional languages and deductive systems. We make heavy use of quantales and quantale modules in the wake of previous…
MV-Algebras as Sheaves of l-groups on Fuzzy Topological Spaces
Luz Victoria De La Pava, Ciro Russo
We introduce the concept of fuzzy sheaf as a natural generalisation of a sheaf over a topological space in the context of fuzzy topologies. Then we prove a representation for a cla…
Quantales and their modules: projective objects, ideals, and congruences
Ciro Russo
In this paper we characterize the projective modules over an arbitrary quantale, and then we apply such a characterization in order to define the K_0 group of a quantale. Then we s…