4 papers
From Multirelations to Meet-Relations: A Relational Duality for Semilattices with Adjunctions
William Zuluaga, Belén Gimenez
We develop a relational duality for semilattices with adjunctions (SLatas) based on binary meet-relations. First, we introduce the category of MoS-spaces and establish a dual equiv…
Extended Contact Algebras: Algebraic analysis and duality theory
RafaÅ GruszczyÅski, Paula Menchón, William Zuluaga
The ternary extended contact relation was introduced in (Ivanova, 2020) as a more expressive counterpart of the standard binary contact relation. The class of Boolean algebras expa…
From coextensive varieties to the Gaeta topos
William Zuluaga
In this paper, we show that in every coextensive variety V, the assignment that maps each algebra to its set of central elements is both functorial and representable. Furthermore,…
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…