Hopf Ore Extension over Dihedral Group
Received:March 19, 2008  Revised:July 07, 2008
Key Words: dihedral group   Hopf Ore extension   module extension.  
Fund Project:the National Natural Science Foundation of China (No.10771182).
Author NameAffiliation
CHENG Qing Song School of Science, Huaihai Institute of Technology, Jiangsu 222005, China 
DONG Wen Juan School of Mathematics, Yangzhou University, Jiangsu 225002, China 
SHA Kai Ping School of Mathematics, Yangzhou University, Jiangsu 225002, China 
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Abstract:
      In this paper, the Hopf Ore extension and corresponding module extension of the group algebra over dihedral group are studied. It turns out that the 1-dimensional and 2-dimensional simple representations can both be extended to the simple representations over a class of Hopf Ore extension.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.06.012
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