Quasi-duo Partial skew polynomial rings

• Date: 2018
• Main Authors: Cortes, Wagner, Ferrero, Miguel, Gobbi, Luciane
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: partial action; quasi-duo; Jacobson radical; partial skew polynomial rings; 16S36; 16S35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/681
• Journal Title: Algebra and Discrete Mathematics

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...