3 citations · 6 across the 4 of their papers we have counts for
5 papers
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…
Homological aspects of semidualizing modules
Ryo Takahashi, Diana White
We investigate the notion of the C-projective dimension of a module, where C is a semidualizing module. When C=R, this recovers the standard projective dimension. We show that thre…
Foxby equivalence over associative rings
Henrik Holm, Diana White
We extend the definition of a semidualizing module to associative rings. This enables us to define and study Auslander and Bass classes with respect to a semidualizing bimodule C.…