Displaying similar documents to “Construction of all homomorphisms of groupoids”

Ternary semigroups of morphisms of objects in categories

Antoni Chronowski, Miroslav Novotný (1995)

Archivum Mathematicum

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In this paper the notion of a ternary semigroup of morphisms of objects in a category is introduced. The connection between an isomorphism of categories and an isomorphism of ternary semigroups of morphisms of suitable objects in these categories is considered. Finally, the results obtained for general categories are applied to the categories 𝐑𝐄𝐋 n + 1 and 𝐀𝐋𝐆 n which were studied in [5].