The commutator Hopf Galois extensions

• Datum: 2018
• Hauptverfasser: Szeto, George, Xue, Lianyong
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Hopf Galois extensions; Azumaya algebras; commutator subrings; smash products; and Hirata separable extensions; 16W30; 16H05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966
• Назва журналу: Algebra and Discrete Mathematics

Let \(H\) be a finite dimentional Hopf algebra over a field \(k\) and \(H^*\) the dual Hopf algebra of \(H\). Then a commutator right \(H^*\)-Galois extension \(B\) of \(B^H\) is characterized in terms of the smash product \(B \ne H\) and some relationships between such a \(B\) and the Hopf Galois A...