\((G,\phi)\)-crossed product on \((G,\phi)\)-quasiassociative algebras

• Date: 2017
• Main Authors: Albuquerque, Helena María Mamede, Barreiro, María Elisabete Félix, Delgado, José María Sánchez
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2017
• Subjects: graded quasialgebras; quasicrossed product; group algebras; twisted group algebras; 17D99; 16S35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/283
• Journal Title: Algebra and Discrete Mathematics

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 qua...