3 papers
math.CT2026
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.CT2025
Categorical-algebraic aspects of Heyting semilattices
Xabier GarcÃa-MartÃnez, 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
Weak representability of actions of non-associative algebras
Jose Brox, Xabier GarcÃa-MartÃnez, Xabier García-Martínez +3
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…