7 papers
Some properties of -semidualizing modules
Tony Se
Let be a commutative noetherian ring. The -semidualizing modules of are generalizations of its semidualizing modules. We will prove some basic properties of -semidual…
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…
Semidualizing modules of ladder determinantal rings
Sean K. Sather-Wagstaff, Tony Se, Sandra Spiroff
We continue our study of ladder determinantal rings over a field from the perspective of semidualizing modules. In particular, given a ladder of variables , we show…
On semidualizing modules of ladder determinantal rings
Sean K. Sather-Wagstaff, Tony Se, Sandra Spiroff
We identify all semidualizing modules over certain classes of ladder determinantal rings over a field . Specifically, given a ladder of variables , we show that the…
Finite F-type and F-abundant modules
Hailong Dao, Tony Se
In this note we introduce and study basic properties of two types of modules over a commutative noetherian ring of positive prime characteristic. The first is the category of m…