Tensor product of partial acts
In this article we define the tensor product of partial acts over a semigroup and prove several properties of this tensor product. We also define the notion of a polite partial biact, which is needed to define partial actions on the tensor product of partial acts. Finally, we prove that a certain te...
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Veröffentlicht in: | Acta et commentationes Universitatis Tartuensis de mathematica 2022-12, Vol.26 (2), p.265-280 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this article we define the tensor product of partial acts over a semigroup and prove several properties of this tensor product. We also define the notion of a polite partial biact, which is needed to define partial actions on the tensor product of partial acts. Finally, we prove that a certain tensor functor of partial acts is left adjoint of a certain hom-functor of partial acts. |
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ISSN: | 1406-2283 2228-4699 |
DOI: | 10.12697/ACUTM.2022.26.19 |