Frobenius R-Variety of the Numerical Semigroups Contained in a Given One
| dc.contributor.author | J. Carlos, Rosales | |
| dc.contributor.author | Manuel, Branco | |
| dc.contributor.author | Marcio, Traesel | |
| dc.date.accessioned | 2023-02-17T16:27:51Z | |
| dc.date.available | 2023-02-17T16:27:51Z | |
| dc.date.issued | 2022-03-27 | |
| dc.description.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. | por |
| dc.identifier.authoremail | jrosales@ugr.es | |
| dc.identifier.authoremail | mbb@uevora.pt | |
| dc.identifier.authoremail | marciotraesel@gmail.com | |
| dc.identifier.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 | por |
| dc.identifier.doi | https://doi.org/10.1007/s00009-022-02019-0 1660-5446/22/030001-13 | por |
| dc.identifier.scientificarea | 333 | por |
| dc.identifier.uri | https://link.springer.com/content/pdf/10.1007/s00009-022-02019-0.pdf | |
| dc.identifier.uri | http://hdl.handle.net/10174/34638 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Mediterranean Journal of Mathematics | por |
| dc.rights | restrictedAccess | por |
| dc.subject | Frobenius R-varieties, Frobenius restricted number, genus restricted number, numerical semigroups, Wilf’s conjecture, tree (asso- ciated to an R-variety). | por |
| dc.title | Frobenius R-Variety of the Numerical Semigroups Contained in a Given One | por |
| dc.type | article | por |