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Acta Mathematica Vietnamica

Rigid Ideals in Gorenstein Rings of Dimension One

icon-email Craig Huneke , Srikanth B. Iyengar , Roger Wiegand

Abstract

Motivated by a conjecture of Huneke and Wiegand concerning torsion in tensor products of modules over local rings, we investigate the existence of ideals I in a one-dimensional Gorenstein local ring R satisfying ExtR1(I,I)=0.