10 citations · 20 across the 27 of their papers we have counts for
6 papers · 1 filter
Bass Numbers and Semidualizing Complexes
Sean Sather-Wagstaff
Let R be a commutative local noetherian ring. We prove that the existence of a chain of semidualizing R-complexes of length (d+1) yields a degree-d polynomial lower bound for the B…
Maps on Divisor Class Groups Induced by Ring Homomorphisms of Finite Flat Dimension
Sean Sather-Wagstaff, Sandra Spiroff
Let f: A\to B be a ring homomorphism between Noetherian normal integral domains. We establish a general criterion for f to induce a homomorphism Cl(f): Cl(A)\to Cl(B) on divisor cl…
Modules of finite homological dimension with respect to a semidualizing module
Sean Sather-Wagstaff, Siamak Yassemi
We prove versions of results of Foxby and Holm about modules of finite (Gorenstein) injective dimension and finite (Gorenstein) projective dimension with respect to a semidualizing…
Transfer of Gorenstein dimensions along ring homomorphisms
Lars Winther Christensen, Sean Sather-Wagstaff
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings is to find resolution-free characterizations of the modules for which these invariants ar…
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…
Lower bounds for the number of semidualizing complexes over a local ring
Sean Sather-Wagstaff
We investigate the set S(R) of shift-isomorphism classes of semidualizing R-complexes, ordered via the reflexivity relation, where R is a commutative noetherian local ring. Specifi…