Numerical semigroups with a given set of pseudo-Frobenius numbers
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...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2016
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10216/89830 |
| Country: | Portugal |
| Oai: | oai:repositorio-aberto.up.pt:10216/89830 |
| Summary: | 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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