2021/12/15 by Liu, Huili, Yang, Tao, Zhu, Lingli
#16T05 #17A01 #18M15 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2112.08046
Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p-Yetter-Drinfeld quasimodule over H. If the antipode of H is bijective, we show that the category \mathscr Y\mathscr D\mathscr Q(H) of Yetter-Drinfeld quasimodules over H is a crossed category, and the subcategory \mathscr Y\mathscr D(H) of Yetter-Drinfeld modules is a braided crossed category.