Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras
Репозиторій DSpace/Manakin
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(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras
Інший ID:
2010 MSC:17D99; 16S35
Посилання:
(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.
Підтримка:
∗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.
Дата:
2017
Переглядів:
671
Завантажень:
146
Анотація:
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.
