This note proves that if S S is an unramified regular local ring and I , J I,J proper ideals of height at least two, then S / I J S/IJ is never Gorenstein.
CITATION STYLE
Huneke, C. (2007). Ideals defining Gorenstein rings are (almost) never products. Proceedings of the American Mathematical Society, 135(7), 2003–2005. https://doi.org/10.1090/s0002-9939-07-08758-8
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