Numerical semigroups with concentration two
| dc.contributor.author | J. Carlos, Rosales | |
| dc.contributor.author | M. B., Branco | |
| dc.contributor.author | Marcio, Traesel | |
| dc.contributor.editor | Elsevier | |
| dc.date.accessioned | 2023-02-17T16:25:33Z | |
| dc.date.available | 2023-02-17T16:25:33Z | |
| dc.date.issued | 2022-03 | |
| dc.description.abstract | We define the concentration of a numerical semigroup S as C(S) = max {nextS (s) − s | s ∈ S\{0}} wherein nextS (s) = min {x ∈ S | s < x}. In this paper, we study the class of numerical semigroups with concentration 2. We give algorithms to calculate the whole set of this class of semigroups with given multiplicity, genus or Frobenius number. Separately, we prove that this class of semigroups verifies the Wilf’s conjecture. | por |
| dc.identifier.authoremail | jrosales@ugr.es | |
| dc.identifier.authoremail | mbb@uevora.pt | |
| dc.identifier.authoremail | marciotraesel@gmail.com | |
| dc.identifier.citation | José C. Rosales, M.B. Branco, Márcio A. Traesel, Numerical semigroups with concentration two, Indagationes Mathematicae Volume 33, Issue 2, March 2022, Pages 303-313. | por |
| dc.identifier.doi | https://doi.org/10.1016/j.indag.2021.07.004 | por |
| dc.identifier.revista | Indagationes Mathematicae | |
| dc.identifier.scientificarea | 333 | por |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S001935772100063X | |
| dc.identifier.uri | http://hdl.handle.net/10174/34637 | |
| dc.language.iso | por | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Indagationes Mathematicae - Elsevier | por |
| dc.rights | restrictedAccess | por |
| dc.subject | Numerical semigroup Concentration Frobenius number Genus Multiplicity Wilf’s conjecture | por |
| dc.title | Numerical semigroups with concentration two | por |
| dc.type | article | por |