Categories as models on a suitable algebraic theory

Mathematics – Category Theory

Scientific paper

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Scientific paper

We explain how categories, and groupoids, can be seen as models for a Lawvere
${\mathfrak Gr}$-theory, where ${\mathfrak Gr}$ is the category of graphs, and
show that for Lawvere ${\mathfrak Gr}$-theories finitely presentable models are
finitely presentable objects.

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