相关Hopf模范畴_L^LYD_B^A与范畴_L^LYD_(B_0)的等价性  

Discussion of Equivalence Between the Relative Hopf-Module Category _L^LYD_B^A and Category _L^LYD_(B_0)

作　　者：吕林燕[1] 

机构地区：[1]济南大学理学院,山东济南250022

出　　处：《济南大学学报（自然科学版）》2009年第3期312-314,共3页Journal of University of Jinan(Science and Technology)

基　　金：山东省科技攻关项目(2008GG30009009)

摘　　要：设L,A是域k上的Hopf代数,B是右A-余模代数。在Yetter-Drinfeld范畴的基础上,定义一类相关Hopf模范畴LLYDAB以及范畴LLYDB,当B是右内射A-余模代数时,给出范畴LLYDBA与LLYDB等价的一个条件。Let L and A be Hopf algebras on field k, B a right A - comodule algebra, we define a sort of category L^L YDB^A called the relative Hopf module category, and another category L^L YDBO is also defined, which both are based on the defination of Yetter - Drinfeld category. An equvalence condition between L^LYDB^A and L^LYDBO is given when B is a right injective A - comodule algebra.

关 键 词：相关Hopf模范畴 模余代数 余模代数 

分 类 号：O153.3[理学—数学]