2020/09/01 by Huihui, Zheng, Yuxin, Zhang, Liangyun, Zhang
#16T05 #16T15 #17B38 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2009.00183
In this paper, we introduce the conception of Rota-Baxter paired comodules, which is dual to Rota-Baxter paired modules in [14]. We mainly discuss some properties of Rota-Baxter paired comodules, especially we give the characterization of generic Rota-Baxter paired comodules, which has important application for the construction of Rota-Baxter comodules. Moreover, we construct Rota-Baxter paired comodules on Hopf algebras, weak Hopf algebras, weak Hopf modules, dimodules, relative Hopf modules and Rota-Baxter paired comodules. And then we finally introduce the conception of Rota-Baxter paired Hopf modules by combining Rota-Baxter paired module with Rota-Baxter paired comodule, and give the structure theorem of generic Rota-Baxter paired Hopf modules.