On the structure of skew groupoid rings which are Azumaya

• Date: 2018
• Main Authors: Flôres, Daiana, Paques, Antonio
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: groupoid action; skew groupoid ring; Azumaya ring; Galois algebra; 16H05; 18B40; 20L99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/756
• Journal Title: Algebra and Discrete Mathematics

In this paper we present an intrinsic description of the structure of an Azumaya skew groupoid ring, having its center contained in the respective ground ring, in terms of suitable central Galois algebras and commutative Galois extensions.