JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 25-31.doi: 10.6040/j.issn.1671-9352.0.2019.158

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First fundamental theorem and Long dimodules for group-graded Hopf algebras

SHI Guo-dong   

  1. School of Mathmatics, Southeast University, Nanjing 211189, Jiangsu, China
  • Published:2020-04-09

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Abstract: Firstly, a new characterization of group-graded Hopf algebras by the Galois maps is introduced. It leads to a new definition of group-graded Hopf algebras. Secondly, Long dimodules on group-graded Hopf algebras are introduced as a tool to get a class of resolutions of D-equation.

Key words: group-graded Hopf algebras, Galois maps, the first fundamental theorem, Long dimodules, D-equation

CLC Number: 

  • O153
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