A Morita context related to finite groups acting partially on a ring

• Date: 2018
• Main Authors: Guzman, Jesus Avila, Lazzarin, Joao
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: partial action; skew group ring; fixed ring; Morita context; Morita equivalence; semiprime ring; 16S35; 16R30; 13C60; 16N60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/786
• Journal Title: Algebra and Discrete Mathematics

In this paper we consider partial actions of groups on rings, partial skew group rings and partial fixed rings. We study a Morita context associated to these rings, \(\alpha\)-partial Galois extensions and related aspects. Finally, we establish conditions to obtain a Morita equivalence between \(R^{...