Symmetric (not Complete Intersection) Semigroups Generated by Five Elements
Commutative Algebra
2018-06-22 v2
Abstract
We consider symmetric (not complete intersection) numerical semigroups S_5, generated by five elements, and derive inequalities for degrees of syzygies of S_5 and find the lower bound F_5 for their Frobenius numbers. We study a special case W_5 of such semigroups, which satisfy the Watanabe Lemma, and show that the lower bound F_{5w} for the Frobenius number of the semigroup W_5 is stronger than F_5.
Keywords
Cite
@article{arxiv.1604.00577,
title = {Symmetric (not Complete Intersection) Semigroups Generated by Five Elements},
author = {Leonid Fel},
journal= {arXiv preprint arXiv:1604.00577},
year = {2018}
}
Comments
7 pages, 2 Tables