毛雪峰,吴泉水.连通微分分次代数的Gorenstein性质[J].数学年刊A辑,2010,31(4):507~516
连通微分分次代数的Gorenstein性质
Gorenstein Properties of Connected DG Algebras
  
DOI:
中文关键词:  微分分次代数  紧致的  同调光滑的
英文关键词:Koszul  Gorenstein
基金项目:中国博士后科学基金(No.20090450066)资助的项目
Author NameAffiliationE-mail
MAO Xuefeng Department of Mathematics, Shanghai University, Shanghai 200444, China. xuefengmao@shu.edu.cn 
WU Quanshui School of Mathematical Sciences, Fudan University, Shanghai 200433, China. qswu@fudan.edu.cn 
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中文摘要:
      证明了由两个同调光滑的,Koszul,Gorenstein连通微分分次代数作张量得到的连通微分分次代数仍为同调光滑的,Koszul,Gorenstein连通微分分次代数;假设A是同凋光滑的连通微分分次代数使得H(A)是Koszul连通分次代数,则A是Gorenstein连通微分分次代数当且仅当H(A)是Gorenstein连通分次代数.
英文摘要:
      
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