1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China; 2. Department of Mathematics, Southeast University, Nanjing 211189, China
Abstract:
We give the necessary and sufficient conditions for a general crossed product algebra equipped with the usual tensor product coalgebra structure to be a Hopf algebra. Furthermore, we obtain the necessary and sufficient conditions for the general crossed product Hopf algebra to be a braided Hopf algebra which generalizes some known results.