THE UNIVERSAL DUAL COMODULE OF MODULE IN HOPF ALGEBRAS  

作　　者：郝志峰 冯良贵 

机构地区：[1]Department of Applied Mathematics,College of Science,South China University of Technology,Guangzhou 510641,China,Department of System and Engineering Mathematics,National University of Defence Technology,Changsha 410073,China

出　　处：《Acta Mathematica Scientia》2003年第3期289-296,共8页数学物理学报（B辑英文版）

基　　金：the Nature Science Foundation of China(19901009),Nature Science oundation of Guangdong Province(970472;000463)

摘　　要：The purpose of this paper is to present some dual properties of dual comodule. It turns out that dual comodule has universal property (cf.Theorem 2). Since (( )*,()°) is an adjoint pair (cf.Theorem 3), some nice properties of functor ( )° are obtained. Finally Theoram 4 provides that the cotensor product is the dual of the tensor product by (M (?)A N)°≌M°□A°N°. Moreover, the result Hom(M,JV)≌ComA°(N°,M°) is proved for finite related modules M, N over a reflexive algebra A.The purpose of this paper is to present some dual properties of dual comodule. It turns out that dual comodule has universal property (cf.Theorem 2). Since (( )*,()°) is an adjoint pair (cf.Theorem 3), some nice properties of functor ( )° are obtained. Finally Theoram 4 provides that the cotensor product is the dual of the tensor product by (M (?)A N)°≌M°□A°N°. Moreover, the result Hom(M,JV)≌ComA°(N°,M°) is proved for finite related modules M, N over a reflexive algebra A.

关 键 词：Universal dual comodule Hopf algebras  cotensor product adjoint pair 

分 类 号：O153[理学—数学]