On strongly graded Gorestein orders
Let G be a finite group and let Λ = ⊕g∈GΛg be a
 strongly G-graded R-algebra, where R is a commutative ring with
 unity. We prove that if R is a Dedekind domain with quotient field
 K, Λ is an R-order in a separable K-algebra such that the algebra
 Λ1 is a Gorenstein...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156618 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On strongly graded Gorestein orders / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 80–89. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724126668488704 |
|---|---|
| author | Theohari-Apostolidi, Th. Vavatsoulas, H. |
| author_facet | Theohari-Apostolidi, Th. Vavatsoulas, H. |
| citation_txt | On strongly graded Gorestein orders / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 80–89. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let G be a finite group and let Λ = ⊕g∈GΛg be a
strongly G-graded R-algebra, where R is a commutative ring with
unity. We prove that if R is a Dedekind domain with quotient field
K, Λ is an R-order in a separable K-algebra such that the algebra
Λ1 is a Gorenstein R-order, then Λ is also a Gorenstein R-order.
Moreover, we prove that the induction functor ind : ModΛH →
ModΛ defined in Section 3, for a subgroup H of G, commutes with
the standard duality functor.
|
| first_indexed | 2025-12-07T18:45:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156618 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:45:21Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Theohari-Apostolidi, Th. Vavatsoulas, H. 2019-06-18T17:55:03Z 2019-06-18T17:55:03Z 2005 On strongly graded Gorestein orders / Th. Theohari-Apostolidi, H. Vavatsoulas // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 80–89. — Бібліогр.: 11 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16H05, 16G30, 16S35, 16G10, 16W50. https://nasplib.isofts.kiev.ua/handle/123456789/156618 Let G be a finite group and let Λ = ⊕g∈GΛg be a
 strongly G-graded R-algebra, where R is a commutative ring with
 unity. We prove that if R is a Dedekind domain with quotient field
 K, Λ is an R-order in a separable K-algebra such that the algebra
 Λ1 is a Gorenstein R-order, then Λ is also a Gorenstein R-order.
 Moreover, we prove that the induction functor ind : ModΛH →
 ModΛ defined in Section 3, for a subgroup H of G, commutes with
 the standard duality functor. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On strongly graded Gorestein orders Article published earlier |
| spellingShingle | On strongly graded Gorestein orders Theohari-Apostolidi, Th. Vavatsoulas, H. |
| title | On strongly graded Gorestein orders |
| title_full | On strongly graded Gorestein orders |
| title_fullStr | On strongly graded Gorestein orders |
| title_full_unstemmed | On strongly graded Gorestein orders |
| title_short | On strongly graded Gorestein orders |
| title_sort | on strongly graded gorestein orders |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156618 |
| work_keys_str_mv | AT theohariapostolidith onstronglygradedgoresteinorders AT vavatsoulash onstronglygradedgoresteinorders |