期刊文献+

交叉双积的研究(英文)

A Research in the Crossed Biproducts
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摘要 提出了双代数上的余模余代数的内余作用和交叉双积的概念 ,给出了交叉余积的一些性质及由内余作用诱导的交叉余积的构造方法 ,还给出了交叉双积的一些性质。该文推广、发展了S .Montgomery等人的结果。 In this paper , concepts of crossed coproducts and inner coactions of comodule coalgebras over bialgebras are introduced. Also the characterizations for crossed coproducts and the method of constructions of crossed coproducts induced by inner coaction are given.Moreover we give some characterizations for crossed biproducts.This paper generalizes and develops the results of S.Montgomery et. al.
出处 《广西师院学报(自然科学版)》 2001年第4期28-35,共8页 Journal of Guangxi Teachers College(Natural Science Edition)
基金 TheworkwassupportedbyNSFofGuangxiNormalCollege.
关键词 双代数 余模余代数 内余作用 交叉双积 交叉余积 bialgebra crossed coproduct crossed biproduct inner coaction
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参考文献4

  • 1Sweedler M E.Hopf Algebra[M].New York:Benjamin, 1969.
  • 2REN Bei-shang. The Hopf Algebra Structures of Smash Byproducts[J].Journal of Guangxi Teachers College, 1997,14(3):5-10.
  • 3Blattner R J, Cohen M and Mantgomery S. Crossed Products and Inner Actions of Hopf Algebra[J].Trans AMS, Vol 298,1986:671-711.
  • 4Doi Y C. Left Comodule Algebras for a Bialgebra [J].Comm Alg, 1986,14: 806-817.

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