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| 弱Hopf群余代数的可裂扩张 | |
| 引用本文： | 王正萍,杨仁明.弱Hopf群余代数的可裂扩张[J].山东大学学报(理学版),2015,50(12):121-126. |
| 作者姓名： | 王正萍 杨仁明 |
| 作者单位： | 1. 滁州职业技术学院基础部, 安徽 滁州 239000; 2. 山东交通学院信息科学与电气工程学院, 山东 济南 250357 |
| 基金项目： | 安徽省高校省级自然科学重点项目资助(KJ2014A183) |
| 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。 |
| 关 键 词： | 弱Hopf群余代数 交叉积 可裂扩张 |
| 收稿时间： | 2014-11-23 |
Cleft extensions of weak Hopf group coalgebras |
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| WANG Zheng-ping,YANG Ren-ming.Cleft extensions of weak Hopf group coalgebras[J].Journal of Shandong University,2015,50(12):121-126. | |
| Authors: | WANG Zheng-ping YANG Ren-ming |
| Institution: | 1. Chuzhou Vocational and Technical College, Chuzhou 239000, Anhui, China; 2. College of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China |
| 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. |
| Keywords: | weak Hopf group coalgebras cleft extensions crossed products |
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