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math.CT2025
Categorical-algebraic aspects of Heyting semilattices
Xabier García-Martínez, James R. A. Gray, Michael A. Hoefnagel +2
This article gives an overview of some key categorical-algebraic properties of the variety of Heyting semilattices, with the aim of correcting a misconception in the literature. We…
math.CT2025
On the representability of actions of unital algebras
Manuel Mancini, Federica Piazza, Corentin Vienne
Working in the setting of ideally exact categories, we investigate the representability of actions of unital non-associative algebras over a field. We show that, in general, such c…
math.CT2023
Weak representability of actions of non-associative algebras
Jose Brox, Xabier García-Martínez, Manuel Mancini +2
We study the categorical-algebraic condition that internal actions are weakly representable (WRA) in the context of varieties of (non-associative) algebras over a field. Our first…