JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 28-33.doi: 10.6040/j.issn.1671-9352.0.2016.031

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Quasidimodule algebras over Hopf quasigroups and Yetter-Drinfeld quasimodule algebras

WU Zi-juan, CHEN Yuan-yuan, ZHANG Liang-yun*   

  1. College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China
  • Received:2016-01-19 Online:2016-10-20 Published:2016-10-17

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Abstract: A sufficient and necessary condition for a Long skew Hopf quasigroup to be a quasidimodule algebra is given, and the relation between the braided Hopf quasigroup and the Yetter-Drinfeld quasimodule algebra is studied. At the end, the quantization of Long skew Hopf quasigroups is constructed by Harrison 2-cocycle, and the conclusion for a quantized Long skew Hopf quasigroup to be a quasidimodule algebras is proved.

Key words: Hopf quasigroup, Yetter-Drinfeld quasimodule algebra, Harrison 2-cocycle, quasidimoudle algebra

CLC Number: 

  • O153.3
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