English

On $p$-Frobenius of affine semigroups

Commutative Algebra 2023-11-13 v1 Number Theory

Abstract

The aim of this paper is to study the pp-Frobenius vector of affine semigroups SNqS\subset \mathbb N^q; that is, the maximum element, with respect to a graded monomial order, with at most pp factorizations in SS. We produce several algorithms to compute these vectors. Finally, we study how the pp-Frobenius vectors behave when considering gluings of SS with Nq\mathbb N^q.

Keywords

Cite

@article{arxiv.2311.06050,
  title  = {On $p$-Frobenius of affine semigroups},
  author = {Evelia R. García Barroso and Juan Ignacio García-García and Luis José Santana Sánchez and Alberto Vigneron-Tenorio},
  journal= {arXiv preprint arXiv:2311.06050},
  year   = {2023}
}