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arXiv · 1903.11488

Residually finite categories

Clara Loeh
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Abstract

We introduce the notion of residual finiteness for categories. In analogy with the group-theoretic setting, we prove that free categories and finitely generated subcategories of finite-dimensional vector spaces are residually finite. Moreover, finitely generated residually finite categories are Hopfian and finitely presented residually finite categories have solvable word problem.

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Clara Loeh. 2019-03-27. Residually finite categories. https://arxiv.org/abs/1903.11488

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