Connected objects in categories of $S$-acts
Category Theory
2022-04-21 v3 Group Theory
Abstract
In this paper, the categorial property of compactness of an object, i. e. commuting of the corresponding functor with coproducts, is studied in categories of -acts and the corresponding structural properties of compact -acts are shown. In order to establish a general context and to unify the approach to both of the most important categories of -acts, the notion of a concrete category with unique decomposition of objects is introduced and studied.
Cite
@article{arxiv.2009.12301,
title = {Connected objects in categories of $S$-acts},
author = {Josef Dvořák and Jan Žemlička},
journal= {arXiv preprint arXiv:2009.12301},
year = {2022}
}