Publicação
Almost-positioned numerical semigroups
| Resumo: | A numerical semigroup S is almost-positioned if for all s is an element of N\S we have that F(S)+m(S)+1-s is an element of S. In this note we give algorithmics for computing the whole set of almost-positioned numerical semigroup with fixed multiplicity and Frobenius number. Moreover, we prove Wilf's conjecture for this type of numerical semigroups. |
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| Autores principais: | Branco, M.B.Branco |
| Outros Autores: | Faria, Manuel Caldas; Rosales, J. C. |
| Assunto: | Numerical semigroups Almost-positioned numerical semigroups Tree Frobenius number Multiplicity Genus and Wilf's conjecture 20M14 11D07 |
| Ano: | 2021 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Instituto Politécnico de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Científico do Instituto Politécnico de Lisboa |
| Resumo: | A numerical semigroup S is almost-positioned if for all s is an element of N\S we have that F(S)+m(S)+1-s is an element of S. In this note we give algorithmics for computing the whole set of almost-positioned numerical semigroup with fixed multiplicity and Frobenius number. Moreover, we prove Wilf's conjecture for this type of numerical semigroups. |
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