On partial Galois Azumaya extensions

• Date: 2018
• Main Authors: Freitas, Daiane, Paques, Antonio
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: partial group action; partial skew group ring; partial Galois extension; partial Galois Azumaya extension; 16H05; 16S35; 16W22
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/666
• Journal Title: Algebra and Discrete Mathematics

Let \(\alpha\) be a globalizable partial action of a finite group \(G\) over a unital ring \(R\), \(A=R\star_\alpha G\) the corresponding partial skew group ring, \(R^\alpha\) the subring of the \(\alpha\)-invariant elements of \(R\) and \(\alpha^\star\) the partial inner action of \(G\) (induced by...