English

On k-sparse numerical semigroups

Rings and Algebras 2016-12-01 v1 Commutative Algebra

Abstract

Given a positive integer k, we investigate the class of numerical semigroups verifying the property that every two subsequent non gaps, smaller than the conductor, are spaced by at least k. These semigroups will be called k-sparse and generalize the concept of sparse numerical semigroups.

Keywords

Cite

@article{arxiv.1611.09898,
  title  = {On k-sparse numerical semigroups},
  author = {G. Tizziotti and J. Villanueva},
  journal= {arXiv preprint arXiv:1611.09898},
  year   = {2016}
}
R2 v1 2026-06-22T17:08:42.874Z