东南大学学报（英文版）
東南大學學報（英文版）
동남대학학보（영문판）
JOURNAL OF SOUTHEAST UNIVERSITY
2012年
3期
372-374
,共3页
弱Hopf π-余代数%Morita关系%弱π-H-余模代数%弱smash积
弱Hopf π-餘代數%Morita關繫%弱π-H-餘模代數%弱smash積
약Hopf π-여대수%Morita관계%약π-H-여모대수%약smash적
weak Hopf π-coalgebra%Morita context%weak π-H-comodule algebra%weak smash product
弱Hopf群余代数是弱Hopf代数和Hopf群余代数的自然推广.设π是一个群,在弱Hopfπ-余代数前提下考虑Morita关系,设H是有限型弱Hopf群余代数,A是弱右π-H-余模代数,构造了弱smash积A#H*和余不动点AcoH的Morita关系.这一结果推广了Wang发表于2006年的Morita contexts,π-Galois extensions for Hopf π-coalgebras一文中的结论.此结果对于构造弱π-Galois扩张是非常重要的.
弱Hopf群餘代數是弱Hopf代數和Hopf群餘代數的自然推廣.設π是一箇群,在弱Hopfπ-餘代數前提下攷慮Morita關繫,設H是有限型弱Hopf群餘代數,A是弱右π-H-餘模代數,構造瞭弱smash積A#H*和餘不動點AcoH的Morita關繫.這一結果推廣瞭Wang髮錶于2006年的Morita contexts,π-Galois extensions for Hopf π-coalgebras一文中的結論.此結果對于構造弱π-Galois擴張是非常重要的.
약Hopf군여대수시약Hopf대수화Hopf군여대수적자연추엄.설π시일개군,재약Hopfπ-여대수전제하고필Morita관계,설H시유한형약Hopf군여대수,A시약우π-H-여모대수,구조료약smash적A#H*화여불동점AcoH적Morita관계.저일결과추엄료Wang발표우2006년적Morita contexts,π-Galois extensions for Hopf π-coalgebras일문중적결론.차결과대우구조약π-Galois확장시비상중요적.
The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras (quantum groupoids) and Hopf group coalgebras.Let π be a group.The Morita context is considered in the sense of weak Hopf π-coalgebras.Let H be a finite type weak Hopf π-coalgebra,and A a weak right π-H-comodule algebra.It is constructed that a Morita context connects A#H* which is a weak smash product and the ring of coinvariants AcoH.This result is the generalization of that of Wang's in the paper "Morita contexts,π-Galois extensions for Hopf π-coalgebras"in 2006.Furthermore,the result is important for constructing weak π-Galois extensions.
