4 papers
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…
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…