Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements
Abstract
We consider symmetric (not complete intersection) numerical semigroups S6, generated by a set of six positive integers d1,...,d6, gcd(d1,...,d6)=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 S6 satisfies the Watanabe lemma.
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