21 citations · 56 across the 28 of their papers we have counts for
9 papers · 1 filter
A pretorsion theory for right groups
Alberto Facchini, Carmelo Antonio Finocchiaro
Let be a right group. Then there exist two congruences and on such that is the product of its quotient semigroups and , where $S/…
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…
Aspects of the Category SKB of Skew Braces
Dominique Bourn, Alberto Facchini, Mara Pompili
We examine the pointed protomodular category SKB of left skew braces. We study the notion of commutator of ideals in a left skew brace. Notice that in the literature, "product" of…
Abstractly constructed prime spectra
Alberto Facchini, Carmelo Antonio Finocchiaro, George Janelidze
The main purpose of this paper is a wide generalization of one of the results abstract algebraic geometry begins with, namely of the fact that the prime spectrum …
Unusual spectral categories
María José Arroyo Paniagua, Alberto Facchini, Marino Gran +1
The paper is devoted to a kind of `very non-abelian' spectral categories. Under strong conditions on a category , we prove, among other things, that, for a given faith…
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))…