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

2018/08/27 by Fel, Leonid G.
#Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #Primary - 20M14 #Secondary - 11P81

paper · doi:10.48550/arxiv.1808.09065

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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