2 citations · 2 across the 2 of their papers we have counts for
6 papers
Adic Foxby Classes
Sean Sather-Wagstaff, Richard Wicklein
We continue our work on adic semidualizing complexes over a commutative noetherian ring by investigating the associated Auslander and Bass classes (collectively known as Foxby…
Extended Local Cohomology and Local Homology
Sean Sather-Wagstaff, Richard Wicklein
We present an in-depth exploration of the module structures of local (co)homology modules (moreover, for complexes) over the completion of a commutative…
Adic Finiteness: Bounding Homology and Applications
Sean Sather-Wagstaff, Richard Wicklein
We prove a versions of amplitude inequalities of Iversen, Foxby and Iyengar, and Frankild and Sather-Wagstaff that replace finite generation conditions with adic finiteness conditi…
Adically Finite Chain Complexes
Sean Sather-Wagstaff, Richard Wicklein
We investigate the similarities between adic finiteness and homological finiteness for chain complexes over a commutative noetherian ring. In particular, we extend the isomorphism…
Adic semidualizing complexes
Sean Sather-Wagstaff, Richard Wicklein
We introduce and study a class of objects that encompasses Christensen and Foxby's semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of $\mathfrak{…
Support and adic finiteness for complexes
Sean Sather-Wagstaff, Richard Wicklein
Let be a chain complex over a commutative noetherian ring , that is, an object in the derived category . We investigate the small support and co-support of $…