English

Numerical semigroups of coated odd elements

Commutative Algebra 2024-07-25 v1

Abstract

A numerical semigroup SS is coated with odd elements (Coe-semigroup), if {x1,x+1}S\left\{x-1, x+1\right\}\subseteq S for all odd element xx in SS. In this note, we will study this kind of numerical semigroups. In particular, we are interested in the study of the Frobenius number, gender and embedding dimension of a numerical semigroup of this type.

Keywords

Cite

@article{arxiv.2407.17153,
  title  = {Numerical semigroups of coated odd elements},
  author = {J. C. Rosales and M. B. Branco and M. A. Traesel},
  journal= {arXiv preprint arXiv:2407.17153},
  year   = {2024}
}
R2 v1 2026-06-28T17:52:10.479Z