On partial skew Armendariz rings

• Date: 2018
• Main Author: Cortes, Wagner
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: partial actions; Armendariz rings; Baer rings and P.P rings; 16S36; 16S35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/658
• Journal Title: Algebra and Discrete Mathematics

In this paper we consider rings \(R\) with a partial action \(\alpha\) of an infinite cyclic group \(G\) on \(R\). We introduce the concept of partial skew Armendariz rings and partial \(\alpha\)-rigid rings. We  show that partial \(\alpha\)-rigid rings are  partial skew Armendariz rings and  we giv...