%0 Journal Article %T 弱Hopf群余代数的可裂扩张<br>Cleft extensions of weak Hopf group coalgebras %A 王正萍 %A 杨仁明< %A br> %A WANG Zheng-ping %A YANG Ren-ming %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.518 %X 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。<br>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 %K 弱Hopf群余代数 %K 交叉积 %K 可裂扩张 %K < %K br> %K weak Hopf group coalgebras %K cleft extensions %K crossed products %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.518