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arXiv · 1808.09065

Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements

Leonid G. Fel
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Abstract

We consider symmetric (not complete intersection) numerical semigroups S_6, generated by a set of six positive integers {d_1,...,d_6}, gcd(d_1,...,d_6)=1, and derive inequalities for degrees of syzygies of such semigroups and find the lower bound for their Frobenius numbers. We show that this bound may be strengthened if S_6 satisfies the Watanabe lemma.

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Leonid G. Fel. 2018-08-27. Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements. https://arxiv.org/abs/1808.09065

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