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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (12): 121-126.doi: 10.6040/j.issn.1671-9352.0.2014.518

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弱Hopf群余代数的可裂扩张

王正萍1, 杨仁明2   

  1. 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
  • 收稿日期:2014-11-23 修回日期:2015-11-18 出版日期:2015-12-20 发布日期:2015-12-23
  • 作者简介:王正萍(1960-),女,硕士,副教授,研究方向为代数学.E-mail:zhengpingwang1960@163.com
  • 基金资助:
    安徽省高校省级自然科学重点项目资助(KJ2014A183)

Cleft extensions of weak Hopf group coalgebras

WANG Zheng-ping1, YANG Ren-ming2   

  1. 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
  • Received:2014-11-23 Revised:2015-11-18 Online:2015-12-20 Published:2015-12-23

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

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.

Key words: weak Hopf group coalgebras, cleft extensions, crossed products

中图分类号: 

  • O153.3
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[2] 游弥漫, 赵晓凡. Monoidal Hom-Hopf代数上的对角交叉积[J]. 山东大学学报(理学版), 2015, 50(12): 76-80.
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