• Journal of the Korean Mathematical Society
• /
• v.52 no.4
• /
• pp.821-838
• /
• 2015

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.