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Advisor(s)
Abstract(s)
A numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.
Description
Keywords
Numerical semigroups Positioned numerical semigroups Tree Frobenius number Multiplicity Genus Wilf’s conjecture
Citation
BRANCO, M. B.; FARIA, Manuel Caldas; ROSALES, J. C. – Positioned numerical semigroups. Quaestiones Mathematicae. ISSN 1727-933X. Vol. 44, N.º 5 (2020), pp. 679-691
Publisher
Taylor & Francis