Elasticity in Apery sets
Commutative Algebra
2019-08-20 v1
Abstract
A numerical semigroup is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity is its smallest nonzero element. The Apery set of is the set . Fixing a numerical semigroup, we ask how many elements of its Apery set have nonunique factorization, and define several new invariants.
Keywords
Cite
@article{arxiv.1908.06448,
title = {Elasticity in Apery sets},
author = {Jackson Autry and Tara Gomes and Christopher O'Neill and Vadim Ponomarenko},
journal= {arXiv preprint arXiv:1908.06448},
year = {2019}
}