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arXiv · 1505.08111

Numerical semigroups with a given set of pseudo-Frobenius numbers

M. Delgado·P. A. García-Sánchez·A. M. Robles-Pérez
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Abstract

The pseudo-Frobenius numbers of a numerical semigroup are those gaps of the numerical semigroup that are maximal for the partial order induced by the semigroup. We present a procedure to detect if a given set of integers is the set of pseudo-Frobenius numbers of a numerical semigroup and, if so, to compute the set of all numerical semigroups having this set as set of pseudo-Frobenius numbers.

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M. Delgado, P. A. García-Sánchez, A. M. Robles-Pérez. 2015-05-29. Numerical semigroups with a given set of pseudo-Frobenius numbers. https://doi.org/10.1112/s1461157016000061

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