科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let A and B be two Hopf algebras and R is an element of Hom(B circle times A, A circle times B), the twisted tensor product Hopf algebra A#B-R was introduced by S. Caenepeel et al in [3] and further studied in our recent work [6]. In this paper we give the necessary and sufficient conditions for A#B-R to be a Hopf algebra with a projection. Furthermore, a braided Hopf algebra (A) over bar is constructed by twisting the multiplication of A through a (gamma, R)-pair (A, B). Finally we give a method to construct Radford's biproduct directly by defining the module action and comodule action from the twisted tensor biproduct.
