Huneke-Wiegand Conjecture for Complete Intersection Numerical Semigroup Rings
Pedro A. Garcia-Sanchez, Micah J. Leamer
TL;DR
This paper proves the Huneke-Wiegand Conjecture for specific classes of monomial ideals in numerical semigroup rings, advancing understanding of the conjecture's validity in algebraic structures.
Contribution
It provides a positive resolution of the conjecture for monomial ideals over free and complete intersection numerical semigroup rings.
Findings
Proves the conjecture for monomial ideals over free numerical semigroup rings.
Establishes the conjecture for two-generated monomial ideals over complete intersection numerical semigroup rings.
Abstract
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 numerical semigroup rings.
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