Numerical semigroups without consecutive small elements

Autor: José C. Rosales, Manuel B. Branco, Márcio A. Traesel
Rok vydání: 2022
Předmět:
Zdroj: International Journal of Algebra and Computation. 33:67-85
ISSN: 1793-6500
0218-1967
DOI: 10.1142/s0218196723500066
Popis: In this work, we study [Formula: see text]-semigroups, that is, numerical semigroups which have no consecutive elements less than the Frobenius number. We give algorithms that allow computation of the whole set of [Formula: see text]-semigroups with a given genus, multiplicity and Frobenius number and from this we study interesting families of [Formula: see text]-semigroups which are Frobenius varieties, pseudo-varieties; R-varieties.
Databáze: OpenAIRE