246 citations
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3 papers · 1 filter
math.AC2009★ 1 cited
Tate cohomology with respect to semidualizing modules
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We investigate Tate cohomology of modules over a commutative noetherian ring with respect to semidualizing modules. We identify classes of modules admitting Tate resolutions and an…
math.AC2008
AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We investigate the properties of categories of G_C-flat R-modules where C is a semidualizing module over a commutative noetherian ring R. We prove that the category of all G_C-flat…
math.AC2007★ 3 cited
Comparison of relative cohomology theories with respect to semidualizing modules
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We compare and contrast various relative cohomology theories that arise from resolutions involving semidualizing modules. We prove a general balance result for relative cohomology…