Comparison of relative cohomology theories with respect to semidualizing modules

Abstract

We compare and contrast various relative cohomology theories that arise from resolutions involving semidualizing modules. We prove a general balance result for relative cohomology over a Cohen–Macaulay ring with a dualizing module, and we demonstrate the failure of the naive version of balance one might expect for these functors. We prove that the natural… (More)

Topics

  • Presentations referencing similar topics