Perfect monoids with zero and categories of $S$-acts
Group Theory
2021-05-06 v1 Category Theory
Abstract
In this paper, we study the relationship between the two main categories of -acts for a monoid with zero from the viewpoint of existence of projective covers and the equivalence is proven. Furthermore, monoids with zeros over which all compact acts are cyclic are characterized.
Keywords
Cite
@article{arxiv.2105.02159,
title = {Perfect monoids with zero and categories of $S$-acts},
author = {Josef Dvořák and Jan Žemlička},
journal= {arXiv preprint arXiv:2105.02159},
year = {2021}
}