Geodesic
$(G,\phi)$-crossed product on~$(G,\phi)$-quasiassociative algebras
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 46-70

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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, twisted group algebras.
Mots-clés : group algebras 
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     title = {$(G,\phi)$-crossed product on~$(G,\phi)$-quasiassociative algebras},
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Helena Albuquerque; Elisabete Barreiro; José M. Sánchez-Delgado. $(G,\phi)$-crossed product on~$(G,\phi)$-quasiassociative algebras. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 46-70. http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a3/