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Groupoids, Hypergraphs, and Symmetries in Finite Models

Groupoids, Hypergraphs, and Symmetries in Finite Models

We propose a novel construction of finite hypergraphs and relational structures that is based on reduced products with Cayley graphs of groupoids. The universal algebraic and combinatorial properties of groupoids are abstracted form the composition behaviour of partial injections and support a very natural approach to the construction of certain …