Foundation item: Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology(09001303); Supported by the National Natural Science Foundation of China(11101128)
In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash produc...
Supported by the National Natural Science Foundation of China(10871170); Supported by the Educational Minister Science Technology Key Foundation of China(108154)
This paper,mainly gives the structure theorem for module coalgebras by a kind of new method,and deletes the condition that the antipode S of the Hopf algebra H is bijective.
Let G be a group, HG and R a G graded ring. We study the duality Theorem for G actions and smash products R#G/H of the G graded ring R and the G set G/H.