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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 1, Pages 46–70 (Mi adm618)  

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
References:
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.
Funding agency Grant number
Fundação para a Ciência e a Tecnologia UID/MAT/00324/2013
SFRH/BPD/101675/2014
European Regional Development Fund PT2020
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.
Received: 17.08.2016
Revised: 12.10.2016
Bibliographic databases:
Document Type: Article
MSC: 17D99, 16S35
Language: English
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
Citation in format AMSBIB
\Bibitem{AlbBarSan17}
\by Helena~Albuquerque, Elisabete~Barreiro, Jos\'e~M.~S\'anchez-Delgado
\paper $(G,\phi)$-crossed product on~$(G,\phi)$-quasiassociative algebras
\jour Algebra Discrete Math.
\yr 2017
\vol 24
\issue 1
\pages 46--70
\mathnet{http://mi.mathnet.ru/adm618}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416842300004}
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