The Structure of Cocleft H-Module Coalgebras  

作　　者：刘贵龙 

机构地区：[1]Institute of Mathematics, Jilin University, Changchun 130023 PRC

出　　处：《Chinese Science Bulletin》1993年第20期1688-1692,共5页

摘　　要：Y. Doi has investigated the H-comodule algebra since 1983. The structure theorem of cleft H-comodule algebra was given by Y. Doi and M. Takeuchi in 1986, i. e. if A is a cleft H-comodule algebra then A≌A₀#_σH as algebra. The dual notion of H-comodule algebra is H-module coalgebra. Y. Doi also studied the H-module coalgebra. However, he did not obtain the structure theorem of cocleft H-module coalgebra. In this note we introduce crossed coproducts which are the dual notion

关 键 词：HOPF ALGEBRA H-module COALGEBRA CROSSED COPRODUCT 

分 类 号：N[自然科学总论]