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arXiv · 2311.06050

On $p$-Frobenius of affine semigroups

Evelia R. García Barroso·Juan Ignacio García-García·Luis José Santana Sánchez·Alberto Vigneron-Tenorio
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Abstract

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

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Evelia R. García Barroso, Juan Ignacio García-García, Luis José Santana Sánchez, Alberto Vigneron-Tenorio. 2023-11-10. On $p$-Frobenius of affine semigroups. https://arxiv.org/abs/2311.06050

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