4 papers
On Atomic Density of Numerical Semigroup Algebras
A. A. Antoniou, R. A. C. Edmonds, B. Kubik +2
A numerical semigroup is a cofinite, additively-closed subset of the nonnegative integers that contains . In this paper, we initiate the study of atomic density, an asymptot…
The Graph of Critical Pairs of a Crown
Fidel Barrera-Cruz, Rebecca Garcia, Pamela Harris +5
There is a natural way to associate with a poset a hypergraph , called the hypergraph of critical pairs, so that the dimension of is exactly equal to the chromatic numbe…
Homology of artinian and mini-max modules, II
Bethany Kubik, Micah Leamer, Sean Sather-Wagstaff
Let R be a commutative ring, and let L and L' be R-modules. We investigate finiteness conditions (e.g., noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext^i_R(L,L…
Homology of artinian and Matlis reflexive modules, I
Bethany Kubik, Micah J. Leamer, Sean Sather-Wagstaff
Let R be a commutative local noetherian ring, and let L and L' be R-modules. We investigate the properties of the functors Tor_i^R(L,-) and Ext^i_R(L,-). For instance, we show the…