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arXiv · 2305.05044

Some properties of affine $\mathcal C$-semigroups

Juan Ignacio García-García·Daniel Marín-Aragón·Adrián Sánchez-Loureiro·Alberto Vigneron-Tenorio
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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 $\mathcal C$-semigroups. In addition, we give algorithms to compute the tree of irreducible $\mathcal C$-semigroups and $\mathcal C$-semigroups with a given Frobenius vector.

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Juan Ignacio García-García, Daniel Marín-Aragón, Adrián Sánchez-Loureiro, Alberto Vigneron-Tenorio. 2023-05-04. Some properties of affine $\mathcal C$-semigroups. https://arxiv.org/abs/2305.05044

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