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arXiv · 2105.02159

Perfect monoids with zero and categories of $S$-acts

Josef Dvořák·Jan Žemlička
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Abstract

In this paper, we study the relationship between the two main categories of $S$-acts for a monoid $S$ 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.

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Josef Dvořák, Jan Žemlička. 2021-05-05. Perfect monoids with zero and categories of $S$-acts. https://arxiv.org/abs/2105.02159

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