中山大学学报(自然科学版) ›› 2020, Vol. 59 ›› Issue (1): 9-14.doi: 10.13471/j.cnki.acta.snus.2020.01.002

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关于平衡对的相对和广义Tate上同调

张春霞   

  1. 重庆师范大学数学科学学院,重庆 401331
  • 收稿日期:2019-01-26 出版日期:2020-01-25 发布日期:2020-02-28

Relative and generalized Tate cohomology with respect to balanced pairs

ZHANG Chunxia   

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
  • Received:2019-01-26 Online:2020-01-25 Published:2020-02-28

摘要: 研究了关于平衡对的相对和广义Tate上同调,得到了关于平衡对的Avramov-Martsinkovsky型正合序列。

关键词: 平衡对, 相对上同调, 广义Tate上同调, Avramov-Martsinkovsky型正合序列

Abstract: The relative and generalized Tate cohomology with respect to balanced pairs are studied. An Avramov-Martsinkovsky type exact sequence is obtained.


Key words: balanced pair, relative cohomology, generalized Tate cohomology, Avramov-Martsinkovsky type exact sequence

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