李启宁.Hopf代数的二重Ore扩张[J].数学年刊A辑,2021,42(4):441~458
Hopf代数的二重Ore扩张
Double Ore Extensions of Hopf Algebras
Received:July 16, 2019  Revised:March 01, 2021
DOI:10.16205/j.cnki.cama.2021.0034
中文关键词:  Hopf二重Ore扩张, 连通分次Hopf代数
英文关键词:Hopf double Ore extension, Connected graded Hopf algebra
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Author NameAffiliation
LI Qining School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China. 
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中文摘要:
      本文的目的是定义Hopf二重Ore扩张,讨论这种扩张的基本性质并研究Hopf 代数的分次与Hopf二重Ore扩张之间的关系.作者还研究了连通分次Hopf代数的结构及其Hopf二重Ore扩张的同调性质.
英文摘要:
      The aim of this article is to define Hopf double Ore extensions, discuss their basic properties and study the relationship between gradations and Hopf double Ore extensions of Hopf algebras. The author also studies the homological properties of Hopf double Ore extensions for connected graded Hopf algebras and the structure of connected graded Hopf algebras.
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