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20172025
most citedDuality for powerset coalgebras

3 citations · 7 across the 18 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.LO2020

Temporal interpretation of intuitionistic quantifiers: Monadic case

Guram Bezhanishvili, Luca Carai

In a recent paper we showed that intuitionistic quantifiers admit the following temporal interpretation: "always in the future" (for ) and "sometime in the past" (for $\ex…

math.LO2020

Temporal interpretation of intuitionistic quantifiers

Guram Bezhanishvili, Luca Carai

We show that intuitionistic quantifiers admit the following temporal interpretation: is true at a world iff is true at every object in the domain of every fut…

math.LO2020

Characterization of metrizable Esakia spaces via some forbidden configurations

Guram Bezhanishvili, Luca Carai

By Priestley duality, each bounded distributive lattice is represented as the lattice of clopen upsets of a Priestley space, and by Esakia duality, each Heyting algebra is represen…

math.RA2020

Free bounded archimedean -algebras

Guram Bezhanishvili, Luca Carai, Patrick Morandi

We show that free objects on sets do not exist in the category of bounded archimedean -algebras. On the other hand, we introduce the category of weighted sets and prove…

math.LO2020★ 3 cited

Duality for powerset coalgebras

Guram Bezhanishvili, Luca Carai, Patrick Morandi

Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-hom…

math.LO2020

Diego's Theorem for nuclear implicative semilattices

Guram Bezhanishvili, Nick Bezhanishvili, Luca Carai +3

We prove that the variety of nuclear implicative semilattices is locally finite, thus generalizing Diego's Theorem. The key ingredients of our proof include the coloring technique…