1) Crossed coproduct coalgebra
交叉余积余代数
2) crossed coproduct bialgebra
交叉余积双代数
1.
The object of this paper is to generalize Molnar s smash coproduct bialgebra to crossed coproduct bialgebra.
将Ｍｏｌｎａｒ的半直余积双代数推广到交叉余积双代数，得到交叉余积双代数实现的充要条件，并研究了交叉余积Ｈｏｐｆ代数实现的条件。
3) crossed coproduct Hopf algebra
交叉余积Hopf代数
4) crossed coproduct
交叉余积
1.
We show that C is a crossed coproduct if and only if C_R is free.
如果C/R是M Galois余扩张且R及R H 关于内射余模满足Krull schmidt性质 ,我们证明了C是交叉余积的主要条件是CR 为自由余模。
2.
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.
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 。
3.
By using method of twisted module coalgebras, this paper shows that there are correspondings between the crossed coproducts C× α H and twisted tensor coalgebras ( CH) τ .
设 H 为 k 双代数 ,证明了交叉余积 C×|αH 与扭张量余代数 ( C H) τ存在一一对
5) bicrossed coproducts
双交叉余积
6) quasi-braided crossed Hopf group-coalgebra
拟辫子交叉Hopf群-余代数
补充资料：积余
1.积存﹐多馀。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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