73 citations · 386 across the 43 of their papers we have counts for
8 papers · 2 filters
Facets of congruence distributivity in Goursat categories
Marino Gran, Diana Rodelo, Idriss Tchoffo Nguefeu
We give new characterisations of regular Mal'tsev categories with distributive lattice of equivalence relations through variations of the so-called Triangular Lemma and Trapezoid L…
A new Galois structure in the category of internal preorders
Alberto Facchini, Carmelo Finocchiaro, Marino Gran
Let be the category of internal preorders in an exact category . We show that the pair $(\mathsf{Eq}(\mathbb C), \mathsf{ParOrd}(\mathbb C))…
Pretorsion theories in general categories
Alberto Facchini, Carmelo Finocchiaro, Marino Gran
We present a setting for the study of torsion theories in general categories. The idea is to associate, with any pair (, ) of full replete subcategories in…
Galois theory and the categorical Peiffer commutator
Alan S. Cigoli, Arnaud Duvieusart, Marino Gran +1
We show that the Peiffer commutator previously defined by Cigoli, Mantovani and Metere can be used to characterize central extensions of precrossed modules with respect to the subc…
Monoidal characterisation of groupoids and connectors
Marino Gran, Chris Heunen, Sean Tull
We study internal structures in regular categories using monoidal methods. Groupoids in a regular Goursat category can equivalently be described as special dagger Frobenius monoids…
Split extensions and semidirect products of unitary magmas
Marino Gran, George Janelidze, Manuela Sobral
We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivale…