On partial Galois Azumaya extensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On partial Galois Azumaya extensions
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| Creator |
Paques, A.
Freitas, D. |
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| Description |
Let α be a globalizable partial action of a finite group G over a unital ring R, A=R⋆αG the corresponding partial skew group ring, Rα the subring of the α-invariant elements of R and α⋆ the partial inner action of G (induced by α) on the centralizer CA(R) of R in A. In this paper we present equivalent conditions to characterize R as an α-partial Galois Azumaya extension of Rα and CA(R) as an α⋆-partial Galois extension of the center C(A) of A. In particular, we extend to the setting of partial group actions similar results due to R. Alfaro and G. Szeto [1,2,3].
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| Date |
2019-06-16T05:39:38Z
2019-06-16T05:39:38Z 2011 |
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| Type |
Article
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| Identifier |
On partial Galois Azumaya extensions / D. Freitas, A. Paques // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 64–77. — Бібліогр.: 19 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:16H05, 16S35, 16W22. http://dspace.nbuv.gov.ua/handle/123456789/154840 |
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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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