1 citations · 2 across the 4 of their papers we have counts for
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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…
Some modal and temporal translations of generalized basic logic
Wesley Fussner, William Zuluaga Botero
We introduce a family of modal expansions of Łukasiewicz logic that are designed to accommodate modal translations of generalized basic logic (as formulated with exchange, weakenin…
Pierce stalks in preprimal varieties
D. Vaggione, W. J. Zuluaga Botero
An algebra is called \textit{preprimal} if is finite and $\func{Clo}(\mathbf{P})$ is a maximal clone. A \textit{preprimal variety} is a variety generated…
Generalized Chain Products of MTL-chains
Jose L Castiglioni, William J. Zuluaga Botero
In this paper we present a different approach to ordinal sums of MTL-chains, as extensions of finite chains in the category of semihoops. In addition, we prove in a very simple way…
On finite MTL-algebras that are representable as poset products of archimedean chains
J. L. Castiglioni, W. J. Zuluaga Botero
We obtain a duality between certain category of finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are e…