English

Some properties of affine $\mathcal C$-semigroups

Rings and Algebras 2023-05-10 v1 Commutative Algebra

Abstract

Numerical semigroups have been extensively studied throughout the literature, and many of their invariants have been characterized. In this work, we generalize some of the most important results about symmetry, pseudo-symmetry, or fundamental gaps, to affine C\mathcal C-semigroups. In addition, we give algorithms to compute the tree of irreducible C\mathcal C-semigroups and C\mathcal C-semigroups with a given Frobenius vector.

Keywords

Cite

@article{arxiv.2305.05044,
  title  = {Some properties of affine $\mathcal C$-semigroups},
  author = {Juan Ignacio García-García and Daniel Marín-Aragón and Adrián Sánchez-Loureiro and Alberto Vigneron-Tenorio},
  journal= {arXiv preprint arXiv:2305.05044},
  year   = {2023}
}
R2 v1 2026-06-28T10:29:11.720Z