4 papers · 1 filter
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…
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…
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…
An alternative definition of tense operators on residuated lattices
Ismael Calomino, Gustavo Pelaitay, William Zuluaga Botero
In this paper we introduce and study an alternative definition of tense operators on residuated lattices. We give a categorical equivalence for the class of tense residuated lattic…