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Pré-Publication, Document De Travail Année : 2022

Simple semigroups in finite categories

Résumé

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 of the other endomorphism monoid, and we prove that it is going to contain a simple semigroup. We also prove the other direction, that if we have a Rees matrix semigroup we can construct a category with two objects such that one of the objects is a group.

Dates et versions

hal-03806565 , version 1 (07-10-2022)

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Najwa Ghannoum, Carlos Simpson. Simple semigroups in finite categories. 2022. ⟨hal-03806565⟩
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