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...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 products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.展开更多
This paper gives a sufficient and necessary condition for twisted products to be weak Hopf algebras, moreover, gives a description for smash products to be weak Hopf algebras. It respectively generalizes R.K.Molnar...This paper gives a sufficient and necessary condition for twisted products to be weak Hopf algebras, moreover, gives a description for smash products to be weak Hopf algebras. It respectively generalizes R.K.Molnar's major result and I.Boca's result.展开更多
Led G he a group, R be a G-graded ring, R,this paper deals with some relative properties of R and smash product R # G .We give out R is graded regular ring,graded right SF-ring, graded right V-ring, graded QF-ring if...Led G he a group, R be a G-graded ring, R,this paper deals with some relative properties of R and smash product R # G .We give out R is graded regular ring,graded right SF-ring, graded right V-ring, graded QF-ring if and only if R # G is regular ring,right SF-rign, right V-ring and QF-ring respectively.展开更多
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.
基金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）
文摘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 products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.
基金This work is supported by National Natural Science Foundation of Chinaby the excellent doctorate fund of Nanjing agricultural university
文摘This paper gives a sufficient and necessary condition for twisted products to be weak Hopf algebras, moreover, gives a description for smash products to be weak Hopf algebras. It respectively generalizes R.K.Molnar's major result and I.Boca's result.
文摘Led G he a group, R be a G-graded ring, R,this paper deals with some relative properties of R and smash product R # G .We give out R is graded regular ring,graded right SF-ring, graded right V-ring, graded QF-ring if and only if R # G is regular ring,right SF-rign, right V-ring and QF-ring respectively.
文摘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.
