3 papers
math.LO2025
A new categorial equivalence for Stone Algebras
Ismael Calomino, Gustavo Pelaitay
The aim of this paper is to give a categorical equivalence for Stone algebras. We introduce the variety of Stone-Kleene algebras with intuitionistic negation, or Stone KAN-algebras…
math.LO2024
A Stone-type duality for semilattices with adjunctions
B. Gimenez, G. Pelaitay, W. Zuluaga
This paper focuses on semilattices with adjunctions (SLatas), which are semilattices with a greatest element enriched with a pair of adjoint maps. We develop a spectral-style duali…
math.LO2024
On Fidel Vakarelov construction for Monadic Godel algebras
Maria Valentina Alonso, Gustavo Pelaitay
A significant correlation between Nelson algebras and Heyting algebras has been explored by several scholars, including Cignoli, Fidel, Vakarelov, and Sendlewski. This connection i…