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Semigroups with fixed multiplicity and embedding dimension
dc.contributor.author | García García, Juan Ignacio | |
dc.contributor.author | Rosales González, José Carlos | |
dc.date.accessioned | 2019-12-05T11:52:01Z | |
dc.date.available | 2019-12-05T11:52:01Z | |
dc.date.issued | 2019-11-04 | |
dc.identifier.citation | Garcı́a-Garcı́a, J. I., Marı́n-Aragón, D., Moreno-Frías, M. Á., Rosales, J. C., & Vigneron-Tenorio, A. (2019). Semigroups with fixed multiplicity and embedding dimension. ARS MATHEMATICA CONTEMPORANEA, 17(2), 397-417. | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/58215 | |
dc.description.abstract | Given m E N, a numerical semigroup with multiplicity m is called a packed numerical semigroup if its minimal generating set is included in fm;m + 1,...., 2m - 1g. In this work, packed numerical semigroups are used to build the set of numerical semigroups with a given multiplicity and embedding dimension, and to create a partition of this set. Wilf’s conjecture is verified in the tree associated to some packed numerical semigroups. Furthermore, given two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embedding dimension e are provided. We also compute the semigroups where these minimal values are achieved. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Drustvo Matematikov, Fizikov in Astronomov | es_ES |
dc.rights | Atribución 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | Embedding dimension | es_ES |
dc.subject | Frobenius number | es_ES |
dc.subject | Genus | es_ES |
dc.subject | Multiplicity | es_ES |
dc.subject | Numerical semigroup | es_ES |
dc.title | Semigroups with fixed multiplicity and embedding dimension | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.26493/1855-3974.1937.5ea |