96 citations · 105 across the 10 of their papers we have counts for
10 papers
Relative Homology and Gorenstein Flat Dimension
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We use the machinery of relative homological algebra to study modules of finite Gorenstein flat dimension.
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…
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…
Gorenstein cohomology in abelian categories
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We investigate relative cohomology functors on subcategories of abelian categories via Auslander-Buchweitz approximations and the resulting strict resolutions. We verify that certa…
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…
Stability of Gorenstein Categories
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
We show that an iteration of the procedure used to define the Gorenstein projective modules over a commutative ring yields exactly the Gorenstein projective modules. Specifical…