10 citations · 20 across the 27 of their papers we have counts for
Showing 2004 · math.ACShow all
3 papers · 2 filters
math.AC2004
Semidualizing modules and the divisor class group
Sean Sather-Wagstaff
Among the finitely generated modules over a Noetherian ring R, the semidualizing modules have been singled out due to their particularly nice duality properties. When R is a normal…
math.AC2004
The set of semidualizing complexes is a nontrivial metric space
Anders Frankild, Sean Sather-Wagstaff
We show that the set $\s(R)$ of shift-isomorphism classes of semidualizing complexes over a local ring admits a nontrivial metric. We investigate the interplay between the metr…
math.AC2004
Characterizing local rings via homological dimensions and regular sequences
Shokrollah Salarian, Sean Sather-Wagstaff, Siamak Yassemi
Let (R,m) be a Noetherian local ring of depth d and C a semidualizing R-complex. Let M be a finite R-module and t an integer between 0 and d. If G_C-dimension of M/IM is finite for…