对偶双代数

The Paired Bialgebras

在文献[1]中，作者引入了扭曲积（twistingproduct）概念，并指出量子偶（Drinfel’ddouble）D（H）为张量积代数的扭曲积．本文把扭曲积加以推广为扭曲模，并给出它的基本结构定理．同时，我们引进对偶Hopf模，它是[2]中对偶Hopf模的发展．

In the paper [1], the writer has given the concept of twisting product, and has pointed out (Drinfel'd double) D(H) to be a twisting product of tensor prduct algebras. In this paper, we extend twisting product to twisting module, and give its basic structure theorem. Meanwhile, we first give the concept of the paired Hopf module, which is a development of the duality of Hopf module in [2].