Normalized bicategories internal to groups and more general Mal'tsev categories

DOI10.1007/S10485-017-9486-YzbMath1425.18001OpenAlexW2603138436MaRDI QIDQ1686703

Nelson Martins-Ferreira

Publication date: 15 December 2017

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-017-9486-y

zbMATH Keywords

reflexive graphinternal categoryhomotopy pathMal'tsev variety\(V\)-Mal'tsev operation2-cell structureinternal 2-categorynormalized internal bicategorypseudocategory

Mathematics Subject Classification ID

Relational systems, laws of composition (08A02) Category of groups (20J15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

On the categorical behaviour of preordered groups ⋮ A unified classification theorem for Mal'tsev-like categories ⋮ On the notion of pseudocategory internal to a category with a 2-cell structure

Cites Work

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• New wide classes of weakly Mal'tsev categories
• Modules croisés généralisés de longueur 2
• The (tetra) category of pseudocategories in an additive 2-category with kernels
• Spaces with finitely many non-trivial homotopy groups
• Maltsev categories and Maltsev operations
• On the notion of pseudocategory internal to a category with a 2-cell structure
• Pseudo-categories
• Further remarks on the ``Smith is Huq condition
• Reports of the Midwest Category Seminar
• Categories vs. groupoids via generalised Mal'tsev properties

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