JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (12): 102-105.doi: 10.6040/j.issn.1671-9352.0.2018.719

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Tate homology of modules of finite Gorenstein flat dimension with respect to a semidualizing module

PAN Xiao-ling, LIANG Li*   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2019-12-11

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Abstract: For a semidualing module C, Tate homology TorFC of modules admitting Tate FC-resolutions is investigated. In particular, a long exact sequence connecting TorFC, TorFC and TorGFC is built. As applications, the vanishing and the balance of this Tate homology theory are proved.

Key words: semidualizing module, Tate FC-resolution, Tate FC-homology

CLC Number: 

  • O154.2
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