On Azumaya Galois extensions and skew group rings
Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois group.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299220911 |
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| _version_ | 1832555463955185664 |
|---|---|
| author | George Szeto |
| author_facet | George Szeto |
| author_sort | George Szeto |
| collection | DOAJ |
| description | Two characterizations of an Azumaya Galois extension of a ring are
given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is
determined by the trace of the Galois group. |
| format | Article |
| id | doaj-art-50854f4a1a5346e0b45d1056c13a8927 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-50854f4a1a5346e0b45d1056c13a89272025-02-03T05:48:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-01221919510.1155/S0161171299220911On Azumaya Galois extensions and skew group ringsGeorge Szeto0Department of Mathematics, Bradley University, Peoria 61625, Illinois, USATwo characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois group.http://dx.doi.org/10.1155/S0161171299220911Azumaya algebrasGalois extensionsH-separable extensionsskew group rings. |
| spellingShingle | George Szeto On Azumaya Galois extensions and skew group rings International Journal of Mathematics and Mathematical Sciences Azumaya algebras Galois extensions H-separable extensions skew group rings. |
| title | On Azumaya Galois extensions and skew group rings |
| title_full | On Azumaya Galois extensions and skew group rings |
| title_fullStr | On Azumaya Galois extensions and skew group rings |
| title_full_unstemmed | On Azumaya Galois extensions and skew group rings |
| title_short | On Azumaya Galois extensions and skew group rings |
| title_sort | on azumaya galois extensions and skew group rings |
| topic | Azumaya algebras Galois extensions H-separable extensions skew group rings. |
| url | http://dx.doi.org/10.1155/S0161171299220911 |
| work_keys_str_mv | AT georgeszeto onazumayagaloisextensionsandskewgrouprings |