English

Almost symmetric good semigroups

Commutative Algebra 2022-09-13 v1

Abstract

The class of good semigroups is a class of subsemigroups of NhN^h, that includes the value semigroups of rings associated to curve singularities and their blowups, and allows to study combinatorically the properties of these rings. In this paper we give a characterization of almost symmetric good subsemigroups of NhN^h, extending known results in numerical semigroup theory and in one-dimensional ring theory, and we apply these results to obtain new results on almost Gorenstein one-dimensional analytically unramified rings.

Keywords

Cite

@article{arxiv.2209.05411,
  title  = {Almost symmetric good semigroups},
  author = {Laura Casabella and Marco D'Anna},
  journal= {arXiv preprint arXiv:2209.05411},
  year   = {2022}
}

Comments

18 pager, 2 figures

R2 v1 2026-06-28T01:08:52.904Z