Dense numerical semigroups

Autor: M. B. Branco, M. C. Faria, José Carlos Rosales
Rok vydání: 2021
Předmět:
Zdroj: Semigroup Forum. 103:221-235
ISSN: 1432-2137
0037-1912
DOI: 10.1007/s00233-021-10190-1
Popis: A numerical semigroup S is dense if for all $$s\in S\backslash \{0\}$$ we have $$\left\{ s-1,s+1\right\} \cap S\ne \emptyset $$ . We give algorithms to compute the whole set of dense numerical semigroups with fixed genus, Frobenius number and multiplicity. Furthermore, we solve the Frobenius problem for dense numerical semigroups with embedding dimension three.
Databáze: OpenAIRE