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Outer Partial Actions and Partial Skew Group Rings

  • Patrik Nystedt (a1) and Johan Öinert (a2)

Abstract

We extend the classical notion of an outer action $\alpha $ of a group $G$ on a unital ring $A$ to the case when $\alpha $ is a partial action on ideals, all of which have local units. We show that if $\alpha $ is an outer partial action of an abelian group $G$ , then its associated partial skew group ring $A\,{{\star }_{\alpha }}\,G$ is simple if and only if $A$ is $G$ -simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems.

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References

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Outer Partial Actions and Partial Skew Group Rings

  • Patrik Nystedt (a1) and Johan Öinert (a2)

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