5 citations · 8 across the 7 of their papers we have counts for
9 papers
Classifying Betti Numbers of Fiber Products
Ela Celikbas, Hugh Geller, Tony Se
We consider fiber products of complete, local, noetherian algebras over a fixed residue field. Some of these rings cannot be minimally resolved with a free resolution using the rec…
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…
The Cohen-Macaulay Property of Affine Semigroup Rings in Dimension 2
Tony Se, Grant Serio
Let be a field and indeterminates over . Let . We calculate the Hilbert polynomial of .…
Covariant Functors and Asymptotic Stability
Tony Se
Let R be a commutative Noetherian ring, I and J ideals of R and M a finitely generated R-module. Let F be a covariant R-linear functor from the category of finitely generated R-mod…