Abstract
We introduce Tate homology of complexes of finite Gorenstein flat dimension based on complete flat resolutions and give a new method of computing Tate homology in Christensen and Jorgensen's sense. We also investigate the relationship between Tate homology and Tate cohomology. As an application, a more brief proof of the main result on derived depth formula of [Vanishing of Tate homology and depth formula over local rings, J. Pure Appl. Algebra 219 (2015) 464-481] is given.
Citation
Yanping Liu. Zhongkui Liu. Xiaoyan Yang. "Complete flat resolutions, Tate homology and the depth formula." Kodai Math. J. 40 (1) 1 - 15, March 2017. https://doi.org/10.2996/kmj/1490083219
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