Classification of grouplike categories
arXiv:2208.08313
Abstract
In this paper we study grouplike monoids, these are monoids that contain a group to which we add an ordered set of idempotents. We classify finite categories with two objects having grouplike endomorphism monoids, and we give a count of certain categories with grouplike monoids.
Minor changes in Lemma 3.18. Added Definition 4.3, Lemma 4.4 and Remark 4.5. And the proof of Proposition 4.6 is improved