2014/11/27 by Albuquerque, Helena, Barreiro, Elisabete, Sánchez-Delgado, José M.
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1411.7503
The notion of quasicrossed product is introduced in the setting of G-graded quasialgebras, i.e., algebras endowed with a grading by a group G, satisfying a "quasiassociative" law. The equivalence between quasicrossed products and quasicrossed systems is explored. It is presented the notion of graded-bimodules in order to study simple quasicrossed products. Deformed group algebras are stressed in particular.