Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1575-1581.

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Categories and Functions of Weak Relative Hopf Modules

 ZHANG Liang-Yun   

  1. College of Science, Nanjing Agricultural University, Nanjing 210095
  • Received:2008-03-27 Revised:2009-08-04 Online:2010-12-25 Published:2010-12-25

Abstract:

In this paper, the author  gives relations between the category of coinvariant modules and the category of weak relative Hopf modules, and gives some applications of the coinvariant  functor (•)coH and the induced  functor Ind==•\otimesBA. Moreover, it is showed  that the category A M H* of weak relative Hopf modules is isomorphic to the category A#H M of weak smash product modules.

Key words: Weak comodule algebra, Weak module algebra, Weak relative Hopf module, Group-like element

CLC Number: 

  • 16W30
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