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On Nearly Gorenstein Simplicial Semigroup Algebras

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arxiv 2310.00619 v1 pith:XQEZW2TJ submitted 2023-10-01 math.AC

Pranjal Srivastava This is my paper · ORCID
classification math.AC
keywords gorensteinsemigroupsnearlynumericalsimplicialaffinealgebrasanswer
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In this paper, we study the nearly Gorenstein projective closure of numerical semigroups. We also studied the nealy Gorenstein property of associated graded ring of simplicial affine semigroups. Moreover, in case of gluing of numerical semigroups, we answer the question posed by Herzog-Hibi-Stamate.

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  1. The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum

    math.AC 2024-12 conditional novelty 6.0 of 10

    Nearly Gorenstein Stanley-Reisner rings of dimension at least three are Gorenstein, and canonical traces of punctured-Gorenstein Stanley-Reisner rings are exactly the ring, the maximal ideal, or its square.

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