Zobrazeno 1 - 10 of 478 pro vyhledávání: '"GRAN, MARINO"'
1
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Hopf braces and semi-abelian categories
Autor: Gran, Marino, Sciandra, Andrea
Hopf braces have been introduced as a Hopf-theoretic generalization of skew braces. Under the assumption of cocommutativity, these algebraic structures are equivalent to matched pairs of actions on Hopf algebras, that can be used to produce solutions
Externí odkaz: http://arxiv.org/abs/2411.19238
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2
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Double groupoids and $2$-groupoids in regular Mal'tsev categories
Autor: Egner, Nadja, Gran, Marino
We prove that the category 2-$ \mathrm{Grpd}(\mathscr{C}) $ of internal $2$-groupoids is a Birkhoff subcategory of the category $ \mathrm{Grpd}^2(\mathscr{C}) $ of double groupoids in a regular Mal'tsev category $\mathscr{C}$ with finite colimits. In
Externí odkaz: http://arxiv.org/abs/2411.06210
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4
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Ideals and Congruences in L-algebras and Pre-L-algebras
Autor: Facchini, Alberto, Gran, Marino, Pompili, Mara
We link the recent theory of $L$-algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties, commutators, multiplicative lattices, and their spectra. We show that the category of $L$-algebras is subtrac
Externí odkaz: http://arxiv.org/abs/2305.19042
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5
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Central extensions of preordered groups
Autor: Gran, Marino, Michel, Aline
We prove that the category of preordered groups contains two full reflective subcategories that give rise to some interesting Galois theories. The first one is the category of the so-called commutative objects, which are precisely the preordered grou
Externí odkaz: http://arxiv.org/abs/2303.03970
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7
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Conditional flatness, fiberwise localizations, and admissible reflections
Autor: Gran, Marino, Scherer, Jérôme
We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of semi-abelian categories. In the presence of functorial fiberwise local
Externí odkaz: http://arxiv.org/abs/2208.03453
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8
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Groupoids and skeletal categories form a pretorsion theory in $\mathsf{Cat}$
Autor: Borceux, Francis, Campanini, Federico, Gran, Marino, Tholen, Walter
Publikováno v: Advances in Mathematics, Volume 426, 1 August 2023, 109110
We describe a pretorsion theory in the category $Cat$ of small categories: the torsion objects are the groupoids, while the torsion-free objects are the skeletal categories, i.e., those categories in which every isomorphism is an automorphism. We inf
Externí odkaz: http://arxiv.org/abs/2207.08487
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9
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Pretorsion theories in lextensive categories
Autor: Borceux, Francis, Campanini, Federico, Gran, Marino
We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a preto
Externí odkaz: http://arxiv.org/abs/2205.11054
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