6 papers
The second Feng-Rao number for codes coming from telescopic semigroups
José I. Farrán, P. A. García-Sánchez, B. A. Heredia +1
In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first stud…
Huneke-Wiegand Conjecture for Complete Intersection Numerical Semigroup Rings
Pedro A. Garcia-Sanchez, Micah J. Leamer
We give a positive answer to the Huneke-Wiegand Conjecture for monomial ideals over free numerical semigroup rings, and for two generated monomial ideals over complete intersection…
Torsion and Tensor Products Over Domains and Specializations to Semigroup Rings
Micah Josiah Leamer
Let R be a commutative Noetherian domain, and let M and N be finitely generated R-modules. We give new criteria for determining when M tensor N has torsion. We also give constructi…
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…
Asymptotic behavior of dimensions of syzygies
Kristen A. Beck, Micah J. Leamer
Let R be a commutative noetherian local ring, and M a finitely generated R-module of infinite projective dimension. It is well-known that the depths of the syzygy modules of M even…
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…