摘要
设H是Hopf代数 ,C是右H模余代数且E =C/C·H+.采用一种新方法证明了下述三者是等价的 :C/E是Hcleft余扩张 ;C同构于Hopf交叉余积E×αH且α卷积可逆 ;C/E是HGalois余扩张且具有余正规基性质 .
Let H be a Hopf algebra, C a right H module coalgebra and E=C/C·H +. This paper gives a new method to prove the following three statements are equivalent: C/E is an H cleft coextension; C is isomorphic to a Hopf crossed coproduct E× α H with α convolution invertible; C/E is an H Galois coextension with a conormal basis property.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
2001年第3期1-3,6,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目 (199710 73 )
