Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements
Commutative Algebra
2018-08-29 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1808.09065,
title = {Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements},
author = {Leonid G. Fel},
journal= {arXiv preprint arXiv:1808.09065},
year = {2018}
}
Comments
12 pages, 4 figures