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Classification of grouplike categories

2022/08/17 by Ghannoum, Najwa
#Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/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.

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