Patterns on the numerical duplication by their admissibility degree
Commutative Algebra
2021-01-27 v2
Abstract
We develop the theory of patterns on numerical semigroups in terms of the admissibility degree. We prove that the Arf pattern induces every strongly admissible pattern, and determine all patterns equivalent to the Arf pattern. We study patterns on the numerical duplication when . We also provide a definition of patterns on rings.
Cite
@article{arxiv.1901.10571,
title = {Patterns on the numerical duplication by their admissibility degree},
author = {Alessio Borzì},
journal= {arXiv preprint arXiv:1901.10571},
year = {2021}
}