On certain classes of Galois extensions of rings
Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP-Galois extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions. Moreover, it is shown that the intersection of the class of CP-Galois extensions and the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100103X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562241625391104 |
|---|---|
| author | George Szeto Lianyong Xue |
| author_facet | George Szeto Lianyong Xue |
| author_sort | George Szeto |
| collection | DOAJ |
| description | Relations between the following classes of Galois extensions are
given: (1) centrally projective Galois extensions (CP-Galois
extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions. Moreover, it is shown that the
intersection of the class of CP-Galois extensions
and the class of faithfully Galois extensions is the class of
Azumaya Galois extensions. |
| format | Article |
| id | doaj-art-18f023bc492f4d67b1d4e82efc0a2b34 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-18f023bc492f4d67b1d4e82efc0a2b342025-02-03T01:23:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125531532110.1155/S016117120100103XOn certain classes of Galois extensions of ringsGeorge Szeto0Lianyong Xue1Department of Mathematics, Bradley University, Peoria 61625, Illinois, USADepartment of Mathematics, Bradley University, Peoria 61625, Illinois, USARelations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP-Galois extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions. Moreover, it is shown that the intersection of the class of CP-Galois extensions and the class of faithfully Galois extensions is the class of Azumaya Galois extensions.http://dx.doi.org/10.1155/S016117120100103X |
| spellingShingle | George Szeto Lianyong Xue On certain classes of Galois extensions of rings International Journal of Mathematics and Mathematical Sciences |
| title | On certain classes of Galois extensions of rings |
| title_full | On certain classes of Galois extensions of rings |
| title_fullStr | On certain classes of Galois extensions of rings |
| title_full_unstemmed | On certain classes of Galois extensions of rings |
| title_short | On certain classes of Galois extensions of rings |
| title_sort | on certain classes of galois extensions of rings |
| url | http://dx.doi.org/10.1155/S016117120100103X |
| work_keys_str_mv | AT georgeszeto oncertainclassesofgaloisextensionsofrings AT lianyongxue oncertainclassesofgaloisextensionsofrings |