16 citations · 39 across the 7 of their papers we have counts for
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Ideals and Congruences in L-algebras and Pre-L-algebras
Alberto Facchini, Marino Gran, Mara Pompili
We link the recent theory of -algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties, commutators, multiplicative lattices, a…
The stable category of preorders in a pretopos II: the universal property
Francis Borceux, Federico Campanini, Marino Gran
We prove that the stable category associated with the category of internal preorders in a pretopos satisfies a universal property. The cano…
A description of the fundamental group in terms of commutators and closure operators
Mathieu Duckerts-Antoine, Tomas Everaert, Marino Gran
A connection between the Galois-theoretic approach to semi-abelian homology and the homological closure operators is established. In particular, a generalised Hopf formula for homo…
Some remarks on pullbacks in Gumm categories
Marino Gran, Diana Rodelo
We extend some properties of pullbacks which are known to hold in a Mal'tsev context to the more general context of Gumm categories. The varieties of universal algebras which are G…
On the characterization of Jónsson-Tarski and of subtractive varieties
Marino Gran, Diana Rodelo
We investigate unital, subtractive and strongly unital regular categories with enough projectives and give characterizations of their projective covers. The categorical equation "s…
The Cuboid Lemma and Mal'tsev categories
Marino Gran, Diana Rodelo
We prove that a regular category is a Mal'tsev category if and only if a strong form of the denormalised Lemma holds true in . In this version…