2024-03-28T18:05:32Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408092021-06-24T07:41:31Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
Semigroups with fixed multiplicity and embedding dimension
García García, Juan Ignacio
Marín Aragón, Daniel
Moreno Frías, María Ángeles
Rosales, José Carlos
Vigneron Tenorio, Alberto
Given m ∈ N, a numerical semigroup with multiplicity m is called a packed numerical
semigroup if its minimal generating set is included in {m, m + 1, . . . , 2m − 1}. 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
2020-04-17T12:29:44Z
2020-04-17T12:29:44Z
2020-04-17T12:29:44Z
2019
info:eu-repo/semantics/article
Ars Mathematica Contemporanea, 2019, vol. 17, n. 2. p. 397-417
1855-3974
http://uvadoc.uva.es/handle/10324/40809
10.26493/1855-3974.1937.5ea
eng
https://amc-journal.eu/index.php/amc/article/view/1937
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
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