2 papers
math.CT2022
Simple semigroups in finite categories
Najwa Ghannoum, Carlos Simpson
In this paper, we classify finite categories with two objects such that one of the endomorphism monoids is a group. We prove that having a group on one side affects the structure o…
math.CT2022
Classification of grouplike categories
Najwa Ghannoum
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 havin…