6 papers
On a topological duality for Stonean Hilbert algebras
Ismael Calomino, Daniela Montangie
The aim of this paper is to present a topological duality for the algebraic category of Stonean Hilbert algebras and certain morphisms between them, called -morphisms. Also,…
Quasicomplemented distributive nearlattices
Ismael Calomino
The aim of this paper is to study the class of quasicomplemented distributive nearlattices. We investigate -filters and -ideals in quasicomplemented distributive nearlattices…
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…
A topological duality for monotone expansions of semilattices
Ismael Calomino, Paula Menchón, William J. Zuluaga Botero
In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in \cite{Celani2020} for semilattices together with a topologica…
Finite distributive nearlattices
Luciano J. González, Ismael Calomino
Our main goal is to develop a representation for finite distributive nearlattices through certain ordered structures. This representation generalizes the well-known representation…
Modules with fusion and implication based over distributive lattices: Representation and Duality
Ismael Calomino, William J. Zuluaga Botero
In this paper we study the class of modules with fusion and implication based over distributive lattices, or FIDL-modules, for short. We introduce the concepts of FIDL-subalgebra a…