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math.CT2026
Coherent and ideal actions in ideally exact categories
Manuel Mancini, Giuseppe Metere, Federica Piazza
In the context of ideally exact categories, we introduce the notions of internal coherent action and internal ideal action that generalise different aspects of unital actions of ri…
math.CT2025
On the representability of actions of Leibniz algebras and Poisson algebras
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
In a recent paper, motivated by the study of central extensions of associative algebras, G. Janelidze introduces the notion of weakly action representable category. In this paper,…
math.CT2024
Relative ideals in homological categories, with an application to MV-algebras
Serafina Lapenta, Giuseppe Metere, Luca Spada
Let be a homological category and be a faithful conservative right adjoint. We introduce the notion of relative ideal with respect to , and we show that, un…