Relative Hom-Hopf modules and total integrals

Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang

Let $(H, \a)$ be a monoidal Hom-Hopf algebra and $(A, \b)$ a right $(H, \a)$-Hom-comodule algebra. We first investigate the criterion for the existence of a total integral of $(A,…