(G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• ISSN: 1726-3255
• Main Authors: Mamede Albuquerque, H.M., Félix Barreiro, M.E., Sánchez Delgado, J.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156243
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: (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.

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...