Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 85-92.

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The Structure Theorem for Module Coalgebras  

  

  1. College of Science, Nanjing Agricultural University
  • Received:2007-04-16 Online:2011-03-30 Published:2023-05-11
  • About author:WANG Yong(1982- ), male, native of Xuzhou, Jiangsu, a doctor of Nanjing Agricultural University, engages in Hopf algebras; ZHANG Liang-yun(1964- ), male, native of Hefei, Anhui, a professor of Nanjing Agricultural University, Ph.D., engages in Hopf algebras; CAI Zhi-min(1981- ), male, native of Suqian, Jiangsu, a master of Nanjing Agricultural University, engages in Hopf algebras.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10871170); Supported by the Educational Minister Science Technology Key Foundation of China(108154);

Abstract: This paper, mainly gives the structure theorem for module coalgebras by a kind of new method, and deletes the condition that the antipode S of the Hopf algebra H is bijective.

Key words: Hopf algebra, Hopf bicomodule, comodule coalgebra, smash coproduct, module
coalgebra

CLC Number: