(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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| Datum: | 2017 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2017
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/156243 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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