Numerical semigroups generated by intervals

P.A. García-Sánchez and J.C. Rosales

Vol. 191 (1999), No. 1, 75–83

DOI: 10.2140/pjm.1999.191.75

Abstract

We study numerical semigroups generated by intervals and solve the following problems related to such semigroups: the membership problem, give an explicit formula for the Frobenius number, decide whether the semigroup is a complete intersection and/or symmetric, and computation of the cardinality of a (any) minimal presentation of this kind of numerical semigroups.

Milestones

Received: 6 January 1998

Revised: 1 October 1998

Published: 1 November 1999