Tensor product of partial acts

Authors

DOI:

https://doi.org/10.12697/ACUTM.2022.26.19

Keywords:

Partial action, Partial act, partial biact, tensor product, adjoint functors

Abstract

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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Author Biographies

Heleen Saarse, University of Tartu

Institute of Mathematics and Statistics

Kristo Väljako, University of Tartu

Institute of Mathematics and Statistics

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Published

2022-11-28

Issue

Section

Articles