On strongly graded Gorestein orders
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On strongly graded Gorestein orders
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| Creator |
Theohari-Apostolidi, Th.
Vavatsoulas, H. |
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| 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. |
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| Date |
2019-06-18T17:55:03Z
2019-06-18T17:55:03Z 2005 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/156618 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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