Free Quadratic Bialgebra

被引：0
|
作者：
Hao Zhifeng
机构：
来源：
Acta Mathematica Sinica,English Series | 1996年 / 03期
基金：
中国国家自然科学基金;
关键词：
Free quadratic bialgebra; Antipode; Cosemisimple; Rational module;
D O I：
暂无
中图分类号：
O153 [抽象代数（近世代数）];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the following main theorem for a free quadratic bialgebra J:(a) For p≠0, J is a pointed cosemisimple coalgebra. For p=0, J is a hyperalgebra.(b) For p≠0 and q≠0, J has antipode S iff p·q+2=0 and S(x)=x. Forp=0 or q=0, J hasantipode and S(x)=-x.(c) All left J*-modules are rational.Also, we give some applications in homological theory and algebraic K-theory.
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页码：244 / 248
页数：5
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