96 citations · 164 across the 55 of their papers we have counts for
73 papers
On Gerko's Strongly Tor-independent Modules
Hannah Altmann, Sean K. Sather-Wagstaff
Gerko proves that if an artinian local ring possesses a sequence of strongly Tor-independent modules of length , then . This general…
Applications of Differential Graded Algebra Techniques in Commutative Algebra
Saeed Nasseh, Sean K. Sather-Wagstaff
Differential graded (DG) algebras are powerful tools from rational homotopy theory. We survey some recent applications of these in the realm of homological commutative algebra.
Ladder determinantal rings over normal domains
Sean K. Sather-Wagstaff, Tony Se, Sandra Spiroff
We explicitly describe the divisor class groups and semidualizing modules for ladder determinantal rings with coefficients in an arbitrary normal domain for arbitrary ladders, not…
Generic Constructions and Semidualizing Modules
Sean K. Sather-Wagstaff, Tony Se, Sandra Spiroff
We investigate some general machinery for describing semidualizing modules over generic constructions like ladder determinantal rings with coefficients in a normal domain. We also…
Ascent Properties for Test Modules
Sean K. Sather-Wagstaff
We investigate modules for which vanishing of Tor-modules implies finiteness of homological dimensions (e.g., projective dimension and G-dimension). In particular, we answer a ques…
Irreducible divisor pair domains
Sean K. Sather-Wagstaff
We introduce and study a new class of integral domains which we call irreducible divisor pair domains (IDPDs). In particular, we show how IDPDs fit in with other classes of integra…