Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 117-131.

• Articles • Previous Articles     Next Articles

Relations with All Kinds of Crossed Coproducts

 FANG Xiao-Li1,2, LI Jin-Ji3   

  1. 1.Department of Mathematics, Shaoxing College of Arts and Sciences, Zhejiang Shaoxing 312000|2.Department of Mathematics, Southeast University, Nanjing 210096|3.College of Mathematics and Physics, Zhejiang Normal University, Zhejiang Jinhua 321004
  • Received:2008-10-08 Revised:2009-08-06 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(10971188)、江苏博士后基金(0902081C)和浙江省教育厅基金(Y200907995)资助

Abstract:

The so-called  generalized diagonal crossed coproduct, generalized L-R smash coproduct, generalized two-sided crossed coproduct  and  two-sided smash coproduct  are introduced and their relations are investigated. In particular, the authors  give two different interpretations about relations between generalized diagonal crossed coproducts and generalized L-R smash coproducts. As an application, an easy conceptual proof of an important but very technical result concerning iterated generalized smash coproducts is obtained.

Key words: Generalized diagonal crossed coproducts, Generalized L-R smash coproducts, Two-sided crossed coproducts, L-R twisting codatum

CLC Number: 

  • 16W30
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