On partial Galois Azumaya extensions
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 equivale...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154840 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On partial Galois Azumaya extensions / D. Freitas, A. Paques // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 64–77. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862556004688855040 |
|---|---|
| author | Paques, A. Freitas, D. |
| author_facet | Paques, A. Freitas, D. |
| citation_txt | On partial Galois Azumaya extensions / D. Freitas, A. Paques // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 64–77. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-11-25T22:29:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154840 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:29:20Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Paques, A. Freitas, D. 2019-06-16T05:39:38Z 2019-06-16T05:39:38Z 2011 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. https://nasplib.isofts.kiev.ua/handle/123456789/154840 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]. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On partial Galois Azumaya extensions Article published earlier |
| spellingShingle | On partial Galois Azumaya extensions Paques, A. Freitas, D. |
| title | On partial Galois Azumaya extensions |
| title_full | On partial Galois Azumaya extensions |
| title_fullStr | On partial Galois Azumaya extensions |
| title_full_unstemmed | On partial Galois Azumaya extensions |
| title_short | On partial Galois Azumaya extensions |
| title_sort | on partial galois azumaya extensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154840 |
| work_keys_str_mv | AT paquesa onpartialgaloisazumayaextensions AT freitasd onpartialgaloisazumayaextensions |