J4 ›› 2011, Vol. 46 ›› Issue (12): 46-50.

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The Duality of a Hopf π-Comodule Coalgebra

CHEN Hua-xi1, YIN Xiao-bin2   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233030,  Anhui, China;
    2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2011-03-04 Online:2011-12-20 Published:2011-12-24

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Abstract:

The definitions of π-H-comodule coalgebras and π-module algebras are given, and it is proved that the duality of a locally finite-dimensional π-H-comodule coalgebra is a π-H*-module algebra.

Key words:  Hopf  π-algebra;  Hopf π-coalgebra; duality; π-H-comodule coalgebra

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