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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 1, Pages 46–70
(Mi adm618)
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RESEARCH ARTICLE
$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras
Helena Albuquerque, Elisabete Barreiro, José M. Sánchez-Delgado CMUC, Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal
Abstract:
The notions of $(G,\phi)$-crossed product and quasicrossed system are introduced in the setting of $(G,\phi)$-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 $(G,\phi)$-crossed products. Also the notion of graded-bimodule in order to study simple $(G,\phi)$-crossed products is studied.
Keywords:
graded quasialgebras, quasicrossed product, group algebras, twisted group algebras.
Received: 17.08.2016 Revised: 12.10.2016
Citation:
Helena Albuquerque, Elisabete Barreiro, José M. Sánchez-Delgado, “$(G,\phi)$-crossed product on $(G,\phi)$-quasiassociative algebras”, Algebra Discrete Math., 24:1 (2017), 46–70
Linking options:
https://www.mathnet.ru/eng/adm618 https://www.mathnet.ru/eng/adm/v24/i1/p46
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Abstract page: | 148 | Full-text PDF : | 102 | References: | 32 |
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