Green rings of weak Hopf algebras based on generalized Taft algebras

摘要

In this paper, we first introduce two classes of weak Hopf algebras of type , which are corresponding to generalized Taft Hopf algebras . Then we compute their Green rings, and describe the structure of their Green rings by the generators and the generating relations. These results extend some known ones about Taft algebras and generalized Taft algebras.