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In this paper, we collect some open problems about minimal presentations of numerical semigroups and, more generally, about defining ideals and free resolutions of their semigroup rings and associated graded rings. We emphasize both long-standing problems and more recent questions and developments.

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Open Problems on Relations of Numerical Semigroups

  • 会议论文

  • 发表日期：

    2025年

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  • Alessio Moscariello,
  • Alessio Sammartano

摘要

In this paper, we collect some open problems about minimal presentations of numerical semigroups and, more generally, about defining ideals and free resolutions of their semigroup rings and associated graded rings. We emphasize both long-standing problems and more recent questions and developments.