On the separability of the restriction functor
Let G be a group, Λ = L σ∈G Λσ a strongly graded ring by G, H a subgroup of G and ΛH = L σ∈H Λσ. We give a necessary and sufficient condition for the ring Λ/ΛH to be separable, generalizing the corresponding result for the ring extension Λ/Λ1. As a consequence of this result we give a conditio...
Збережено в:
| Дата: | 2003 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155703 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the separability of the restriction functor / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 95–101. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155703 |
|---|---|
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dspace |
| spelling |
irk-123456789-1557032019-06-18T01:25:55Z On the separability of the restriction functor Theohari-Apostolidi, Th. Vavatsoulas, H. Let G be a group, Λ = L σ∈G Λσ a strongly graded ring by G, H a subgroup of G and ΛH = L σ∈H Λσ. We give a necessary and sufficient condition for the ring Λ/ΛH to be separable, generalizing the corresponding result for the ring extension Λ/Λ1. As a consequence of this result we give a condition for Λ to be a hereditary order in case Λ is a strongly graded by finite group R-order in a separable K-algebra, for R a Dedekind domain with quotient field K. 2003 Article On the separability of the restriction functor / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 95–101. — Бібліогр.: 9 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16W50, 16G30, 16H05. http://dspace.nbuv.gov.ua/handle/123456789/155703 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let G be a group, Λ = L
σ∈G Λσ a strongly
graded ring by G, H a subgroup of G and ΛH =
L
σ∈H Λσ. We
give a necessary and sufficient condition for the ring Λ/ΛH to be
separable, generalizing the corresponding result for the ring extension Λ/Λ1. As a consequence of this result we give a condition for
Λ to be a hereditary order in case Λ is a strongly graded by finite
group R-order in a separable K-algebra, for R a Dedekind domain
with quotient field K. |
| format |
Article |
| author |
Theohari-Apostolidi, Th. Vavatsoulas, H. |
| spellingShingle |
Theohari-Apostolidi, Th. Vavatsoulas, H. On the separability of the restriction functor Algebra and Discrete Mathematics |
| author_facet |
Theohari-Apostolidi, Th. Vavatsoulas, H. |
| author_sort |
Theohari-Apostolidi, Th. |
| title |
On the separability of the restriction functor |
| title_short |
On the separability of the restriction functor |
| title_full |
On the separability of the restriction functor |
| title_fullStr |
On the separability of the restriction functor |
| title_full_unstemmed |
On the separability of the restriction functor |
| title_sort |
on the separability of the restriction functor |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155703 |
| citation_txt |
On the separability of the restriction functor / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 95–101. — Бібліогр.: 9 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT theohariapostolidith ontheseparabilityoftherestrictionfunctor AT vavatsoulash ontheseparabilityoftherestrictionfunctor |
| first_indexed |
2023-05-20T17:47:05Z |
| last_indexed |
2023-05-20T17:47:05Z |
| _version_ |
1796154078178312192 |