Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals
Commutative Algebra
2025-04-11 v3 Combinatorics
Group Theory
Abstract
In this paper, we investigate the row-factorization matrices of Arf numerical semigroups, and we provide the full list of such matrices of certain Arf numerical semigroups. We use the information of row-factorization matrices to detect the generic nature and to find generators of the defining ideals.
Keywords
Cite
@article{arxiv.2210.14856,
title = {Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals},
author = {Meral Süer and Mehmet Yeşil},
journal= {arXiv preprint arXiv:2210.14856},
year = {2025}
}