Smash积与Morita Context环Smash Products and Morita Context Rings
王顶国
摘要(Abstract):
Morita Context理论是研究环与代数的有效工具(参见[1,4,5]等)。本文首先给出Morita Context环属于正规质类的充要条件。作为应用讨论了Hopf模代数A的不动子代数A~H与Smash积的正规质性之间的关系,推广了文[2,3]中相应结果。
关键词(KeyWords): Morita Context环;正规质类;Hopf代数;H-不动代数;Smash积
基金项目(Foundation):
作者(Author): 王顶国
DOI: 10.16393/j.cnki.37-1436/z.1996.02.003
参考文献(References):
- 1 S.A.Amitsur,Rings of quotients and Morita Contexts, J.Algebra,1971; 17, 273-298.
- 2 M.Cohen and D.Fischman, Hopf algebra actions,J.Algebra, 1986; 100,363-379.
- 3 M.Cohen, D .Fischman and S. Mongimery,Hopf Galois extensions,Smash products, and Morita equivalence,J. Algebra,1990;133,351-372.
- 4 W.K.Nicholson and J.F.Watters, Normal radicals and normal classes of rings,J.Algebra,1979; 59,5-15.
- 5 W.K.Nicholson and J.F.Watters, Normat,classes of primw rings determined by modules, proe A.M.S,1981; 83 (1) , 27-30.
- 6 M.E.S weedle, Hopf Algebras, Benjamin,New York, 1969.