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...
Збережено в:
| Дата: | 2018 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/966 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543441976033280 |
|---|---|
| author | Szeto, George Xue, Lianyong |
| author_facet | Szeto, George Xue, Lianyong |
| author_sort | Szeto, George |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-13T10:43:19Z |
| 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. |
| first_indexed | 2026-02-08T07:59:52Z |
| format | Article |
| id | admjournalluguniveduua-article-966 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:52Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | The commutator Hopf Galois extensions |
| title_sort | commutator hopf galois extensions |
| topic | Hopf Galois extensions Azumaya algebras commutator subrings smash products and Hirata separable extensions 16W30 16H05 |
| topic_facet | Hopf Galois extensions Azumaya algebras commutator subrings smash products and Hirata separable extensions 16W30 16H05 |
| 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 |