J4 ›› 2013, Vol. 51 ›› Issue (03): 431-433.

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Semisimplicity of TwoSided Group Smash Coproducts

LI De sheng1, CHEN Quanguo2, WANG Dingguo3   

  1. 1. Institute of Mathematics and Information, Ludong University, Yantai 264025, Shandong Province, China;2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China; 3. School of Mathematics Sciences, Qufu Normal University, Qufu 273165, Shandong Province, China
  • Received:2012-07-27 Online:2013-05-26 Published:2013-05-17
  • Contact: CHEN Quanguo E-mail:cqg211@163.com

Abstract:

By introducing the concept of two\|sided group Smash coproducts, the authors presented the necessary and sufficient conditions for two
sided group Smash coproducts to be Hopf group coalgebras. Using the integral theories of Hopf group coalgebras, we discussed the semisimplicity of twosided group Smash coproducts.

Key words: Hopf group coalgebras, comodule coalgebras, semisimplicity

CLC Number: 

  • O153.3