Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements
classification
🧮 math.AC
math.NT
keywords
semigroupsboundcompletegeneratedintersectionnumericalsymmetricconsider
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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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