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arXiv · 2009.12301

Connected objects in categories of $S$-acts

Josef Dvořák·Jan Žemlička
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Abstract

In this paper, the categorial property of compactness of an object, i. e. commuting of the corresponding $\Hom$ functor with coproducts, is studied in categories of $S$-acts and the corresponding structural properties of compact $S$-acts are shown. In order to establish a general context and to unify the approach to both of the most important categories of $S$-acts, the notion of a concrete category with unique decomposition of objects is introduced and studied.

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Josef Dvořák, Jan Žemlička. 2020-09-25. Connected objects in categories of $S$-acts. https://arxiv.org/abs/2009.12301

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