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-  2015 

弱Hopf群余代数的可裂扩张
Cleft extensions of weak Hopf group coalgebras

DOI: 10.6040/j.issn.1671-9352.0.2014.518

Keywords: 弱Hopf群余代数,交叉积,可裂扩张,
weak Hopf group coalgebras
,cleft extensions,crossed products

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Abstract:

摘要: 弱群交叉积是弱群smash积概念的推广,弱Hopf群余代数的作用是余循环的扭曲。引入了弱Hopf群余代数的可裂扩张的概念,并建立了弱Hopf群余代数上交叉积和可裂扩张之间的关系。
Abstract: Weak group crossed products are generalization of the weak group smash products, in which the action of the weak Hopf group coalgebras is twisted by a cocycle. The notion of cleft extensions of weak Hopf group coalgebras is introduced, and the relation between crossed products and cleft extensions of weak Hopf group coalgebras is established

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