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Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings

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.

preprint2019arXivOpen access
Jürgen HerzogFatemeh MohammadiJanet Page
math.COmath.AC
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Jürgen HerzogFatemeh MohammadiJanet Page

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