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We consider symmetric (not complete intersection) numerical semigroups \(S_m=\langle d_1,\ldots ,d_m\rangle \) of arbitrary edim, minimally generated by a set of m positive integers, such that \(\gcd (d_1,\ldots ,d_m)=1\) . We derive identities for degrees of syzygies of such semigroups and find the lower bound for their Frobenius numbers that generalizes recent results for \(m=4,5,6\) .

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Symmetric (Not Complete Intersection) Numerical Semigroups and Syzygy Identities

  • 会议论文

  • 发表日期：

    2025年

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  • Leonid G. Fel

摘要

We consider symmetric (not complete intersection) numerical semigroups \(S_m=\langle d_1,\ldots ,d_m\rangle \) of arbitrary edim, minimally generated by a set of m positive integers, such that \(\gcd (d_1,\ldots ,d_m)=1\) . We derive identities for degrees of syzygies of such semigroups and find the lower bound for their Frobenius numbers that generalizes recent results for \(m=4,5,6\) .