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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2003 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155703 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862618181779062784 |
|---|---|
| author | Theohari-Apostolidi, Th. Vavatsoulas, H. |
| author_facet | Theohari-Apostolidi, Th. Vavatsoulas, H. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T13:13:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155703 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:13:42Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Theohari-Apostolidi, Th. Vavatsoulas, H. 2019-06-17T10:58:03Z 2019-06-17T10:58:03Z 2003 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. https://nasplib.isofts.kiev.ua/handle/123456789/155703 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the separability of the restriction functor Article published earlier |
| spellingShingle | On the separability of the restriction functor Theohari-Apostolidi, Th. Vavatsoulas, H. |
| title | 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_short | On the separability of the restriction functor |
| title_sort | on the separability of the restriction functor |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155703 |
| work_keys_str_mv | AT theohariapostolidith ontheseparabilityoftherestrictionfunctor AT vavatsoulash ontheseparabilityoftherestrictionfunctor |