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We study pseudo-Frobenius numbers, which are maximal gaps in a numerical semigroup H in the sense that adding any nonzero element of H with them produce non-gaps. We see that these numbers can be read from the minimal graded free resolution of the numerical semigroup ring K[H].

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Pseudo-Frobenius Numbers via Minimal Graded Free Resolutions

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  • 发表日期：

    2026年

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  • Jürgen Herzog,
  • Somayeh Moradi,
  • Masoomeh Rahimbeigi

摘要

We study pseudo-Frobenius numbers, which are maximal gaps in a numerical semigroup H in the sense that adding any nonzero element of H with them produce non-gaps. We see that these numbers can be read from the minimal graded free resolution of the numerical semigroup ring K[H].