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http://hdl.handle.net/10174/34638
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| Title: | Frobenius R-Variety of the Numerical Semigroups Contained in a Given One |
| Authors: | J. Carlos, Rosales
Manuel, Branco
Marcio, Traesel |
| Keywords: | Frobenius R-varieties, Frobenius restricted number, genus restricted number, numerical semigroups, Wilf’s conjecture, tree (asso- ciated to an R-variety). |
| Issue Date: | 27-Mar-2022 |
| Publisher: | Mediterranean Journal of Mathematics |
| Citation: | Frobenius R-Variety of the Numerical Semigroups Contained in a Given One, J. C. Rosales, M. B. Branco and M. A. Traesel, Mediterr. J. Math. (2022), 19-103
https://doi.org/10.1007/s00009-022-02019-0
1660-5446/22/030001-13 |
| Abstract: | Let be a numerical semigroup and R( ) = {S | S is a numericalsemigroup and S ⊆ }. We prove that R( ) is Frobenius R-
variety that can be arranged in a tree rooted in . We introduce the concepts of Frobenius and genus number of S restricted to (respec-tively F (S) and g (S)). We give formulas for F (S), g (S) and generalizations of the Amor ́os’s and Wilf’s conjecture. Moreover, we will show that most of the results of irreducibility can be generalized to R( )-irreducibility. |
| URI: | https://link.springer.com/content/pdf/10.1007/s00009-022-02019-0.pdf
http://hdl.handle.net/10174/34638 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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