Monoidal characterisation of groupoids and connectors

DOI10.1016/j.topol.2019.106966zbMath1461.18008arXiv1906.02056OpenAlexW2948171899MaRDI QIDQ2310775

Sean Tull, Chris Heunen, Marino Gran

Publication date: 6 April 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02056

zbMATH Keywords

groupoidmonoidal categoryregular categoryconnectorGoursat categoryFrobenius structurecategory of relations

Mathematics Subject Classification ID

Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Categories of spans/cospans, relations, or partial maps (18B10) Categorical algebra (18E99)

Cites Work

• Categories of quantum and classical channels
• Categorical formulation of finite-dimensional quantum algebras
• The ``closed subgroup theorem for localic herds and pregroupoids
• A characterization of ternary rings of operators
• Spaces with finitely many non-trivial homotopy groups
• Mal'cev varieties
• Some remarks on Maltsev and Goursat categories
• Internal categories and groupoids in congruence modular varieties
• Centrality and connectors in Maltsev categories.
• Commutators and central extensions in universal algebra
• Relative Frobenius algebras are groupoids
• An observation on \(n\)-permutability
• A ternary algebra with applications to matrices and linear transformations
• Beck-Chevalley condition and Goursat categories
• A Survey of Graphical Languages for Monoidal Categories
• Quantum and Classical Structures in Nondeterminstic Computation
• Categories of relations as models of quantum theory
• Categories for Quantum Theory
• Some remarks on connectors and groupoids in Goursat categories
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