J. Korean Math. Soc. 2015; 52(4): 821-838
Printed July 1, 2015
https://doi.org/10.4134/JKMS.2015.52.4.821
Copyright © The Korean Mathematical Society.
Chunxia Zhang
Northwest Normal University
We investigate the relative and Tate cohomology theories with respect to Ding modules and complexes, consider their relations with classical and Gorenstein cohomology theories. As an application, the Avramov-Martsinkovsky type exact sequence of Ding modules is obtained.
Keywords: Ding projective (injective) module, relative cohomology, Tate cohomology, Avramov-Martsinkovsky type exact sequence
MSC numbers: 16E40, 18G10, 18G25
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