Quasi-duo Partial skew polynomial rings

Wagner Cortes, Miguel Ferrero, Luciane Gobbi


In this paper we consider rings \(R\) with a partial action \(\alpha\) of \(\mathbb{Z}\) on \(R\). We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to show that our results are not an easy generalization of the global case.


partial action; quasi-duo; Jacobson radical; partial skew polynomial rings

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