English

Length density and numerical semigroups

Commutative Algebra 2021-10-22 v1

Abstract

Length density is a recently introduced factorization invariant, assigned to each element nn of a cancellative commutative atomic semigroup SS, that measures how far the set of factorization lengths of nn is from being a full interval. We examine length density of elements of numerical semigroups (that is, additive subsemigroups of the non-negative integers).

Keywords

Cite

@article{arxiv.2110.10618,
  title  = {Length density and numerical semigroups},
  author = {Cole Brower and Scott Chapman and Travis Kulhanek and Joseph McDonough and Christopher O'Neill and Vody Pavlyuk and Vadim Ponomarenko},
  journal= {arXiv preprint arXiv:2110.10618},
  year   = {2021}
}
R2 v1 2026-06-24T07:02:54.946Z