模余代数和Morita-Takeuchi关系  

Module coalgebras and morita-takeuchi context

作　　者：郑乃峰[1] 

机构地区：[1]宁波大学理学院,宁波315211

出　　处：《纯粹数学与应用数学》2003年第4期385-392,共8页Pure and Applied Mathematics

摘　　要：H是Hopf代数,C是H-模余代数.首先利用余积分的概念,诱导C的右H-余模结构,并构造了smash余积余代数C×H,使C×H作为余代数同构于C H.然后,由C的右H-余模结构诱导C的左H0-模结构,令C=C/KerεH0C,则C×H与C有Morita-Takeuchi关系.Let H be a Hopf algebra and C a H-module coalgebra. Right H-comodule structure of C is defined and a smash coproduct coalgebra C×H is constructed using the concept of cointegral. C×H and CH is isomorphismed as coalgebra.Right H-comodule structure of C induces left H^--module structure of C, and let C=C/Kerε__(H^-)C,C×H and C have the Morita-Takeuchi context.

关 键 词：HOPF代数 M—T关系 余积分 

分 类 号：O153.3[理学—数学]