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In mathematics, a semigroupoid (also called semicategory, naked category or precategory) is a partial algebra that satisfies the axioms for a small category, except possibly for the requirement that there be an identity at each object. While this definition is due to Tilson, Exel has introduced a different definition, one in which there is no underlying…
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called objects mor semigroups set morphisms theory semicategory small semigroupoids things every write composition mathematics yoneda lemma semicategories category monoids
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