The commutator Hopf Galois extensions
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...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9662018-05-13T10:43:19Z The commutator Hopf Galois extensions Szeto, George Xue, Lianyong Hopf Galois extensions, Azumaya algebras, commutator subrings, smash products, and Hirata separable extensions 16W30, 16H05 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 Azumaya or Hopf Galois Hirata extensions are also given. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966 Algebra and Discrete Mathematics; Vol 2, No 3 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966/495 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Hopf Galois extensions Azumaya algebras commutator subrings smash products and Hirata separable extensions 16W30 16H05 |
| spellingShingle |
Hopf Galois extensions Azumaya algebras commutator subrings smash products and Hirata separable extensions 16W30 16H05 Szeto, George Xue, Lianyong The commutator Hopf Galois extensions |
| topic_facet |
Hopf Galois extensions Azumaya algebras commutator subrings smash products and Hirata separable extensions 16W30 16H05 |
| format |
Article |
| author |
Szeto, George Xue, Lianyong |
| author_facet |
Szeto, George Xue, Lianyong |
| author_sort |
Szeto, George |
| title |
The commutator Hopf Galois extensions |
| title_short |
The commutator Hopf Galois extensions |
| title_full |
The commutator Hopf Galois extensions |
| title_fullStr |
The commutator Hopf Galois extensions |
| title_full_unstemmed |
The commutator Hopf Galois extensions |
| title_sort |
commutator hopf galois extensions |
| description |
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 Azumaya or Hopf Galois Hirata extensions are also given. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966 |
| work_keys_str_mv |
AT szetogeorge thecommutatorhopfgaloisextensions AT xuelianyong thecommutatorhopfgaloisextensions AT szetogeorge commutatorhopfgaloisextensions AT xuelianyong commutatorhopfgaloisextensions |
| first_indexed |
2024-04-12T06:27:47Z |
| last_indexed |
2024-04-12T06:27:47Z |
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1796109256705966080 |