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Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings (1903.05847v1)
Published 14 Mar 2019 in math.AC and math.CO
Abstract: The trace of the canonical module of a Cohen-Macaulay ring describes its non-Gorenstein locus. We study the trace of the canonical module of a Segre product of algebras, and we apply our results to compute the non-Gorenstein locus of toric rings. We provide several sufficient and necessary conditions for Hibi rings and normal semigroup rings to be Gorenstein on the punctured spectrum.
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