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math.AC2012
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…
math.AC2012
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…
math.AC2012
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…