Nearly Gorenstein numerical semigroups with five generators have bounded type
Commutative Algebra
2025-01-15 v1
Abstract
We prove that the type of nearly Gorenstein numerical semigroups minimally generated by integers is bounded. In particular, if such a semigroup is not almost symmetric, then its type is at most . Finally, we make some considerations in higher embedding dimension.
Keywords
Cite
@article{arxiv.2501.08260,
title = {Nearly Gorenstein numerical semigroups with five generators have bounded type},
author = {Alessio Moscariello and Francesco Strazzanti},
journal= {arXiv preprint arXiv:2501.08260},
year = {2025}
}
Comments
Accepted for publication in Communications in Algebra