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Ideals defining Gorenstein rings are (almost) never products
Authors:Craig Huneke
Institution:Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Abstract:This note proves that if $ S$ is an unramified regular local ring and $ I,J$ proper ideals of height at least two, then $ S/IJ$ is never Gorenstein.

Keywords:Regular ring  Gorenstein ring  unramified
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