(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras
The notions of (G,ϕ)-crossed product and quasicrossed system are introduced in the setting of (G,ϕ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for quasicrossed systems...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156243 |
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| Zitieren: | (G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras / H.M. Mamede Albuquerque, M.E. Félix Barreiro, J.M. Sánchez Delgado // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 46-70. — Бібліогр.: 12 назв. — англ. |
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Mamede Albuquerque, H.M. Félix Barreiro, M.E. Sánchez Delgado, J.M. 2019-06-18T10:19:37Z 2019-06-18T10:19:37Z 2017 (G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras / H.M. Mamede Albuquerque, M.E. Félix Barreiro, J.M. Sánchez Delgado // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 46-70. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC:17D99; 16S35 https://nasplib.isofts.kiev.ua/handle/123456789/156243 The notions of (G,ϕ)-crossed product and quasicrossed system are introduced in the setting of (G,ϕ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for quasicrossed systems and another for (G,ϕ)-crossed products. Also the notion of graded-bimodule in order to study simple (G,ϕ)-crossed products is studied. ∗The first and the second authors acknowledge financial assistance by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. The third author acknowledges the Fundação para a Ciência e a Tecnologia for the grant with reference SFRH/BPD/101675/2014. The authors would like to thank the referee for the detailed reading of this work and for his helpful suggestions which have improved the final version of the same. The first and the second authors acknowledge financial assistance by the Centrefor Mathematics of the University of Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. The third authorac knowledges the Fundação para a Ciência e a Tecnologia for the grant with referenceSFRH/BPD/101675/2014. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics (G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras |
| spellingShingle |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras Mamede Albuquerque, H.M. Félix Barreiro, M.E. Sánchez Delgado, J.M. |
| title_short |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras |
| title_full |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras |
| title_fullStr |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras |
| title_full_unstemmed |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras |
| title_sort |
(g,ϕ) -crossed product on (g,ϕ)-quasiassociative algebras |
| author |
Mamede Albuquerque, H.M. Félix Barreiro, M.E. Sánchez Delgado, J.M. |
| author_facet |
Mamede Albuquerque, H.M. Félix Barreiro, M.E. Sánchez Delgado, J.M. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
The notions of (G,ϕ)-crossed product and quasicrossed system are introduced in the setting of (G,ϕ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a ``quasiassociative'' law. It is presented two equivalence relations, one for quasicrossed systems and another for (G,ϕ)-crossed products. Also the notion of graded-bimodule in order to study simple (G,ϕ)-crossed products is studied.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156243 |
| citation_txt |
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras / H.M. Mamede Albuquerque, M.E. Félix Barreiro, J.M. Sánchez Delgado // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 46-70. — Бібліогр.: 12 назв. — англ. |
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| first_indexed |
2025-11-29T03:47:46Z |
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2025-11-29T03:47:46Z |
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