Numerical semigroups generated by intervals

Citation
Pa. Garcia-sanchez et Jc. Rosales, Numerical semigroups generated by intervals, PAC J MATH, 191(1), 1999, pp. 75-83
Citations number
8
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
191
Issue
1
Year of publication
1999
Pages
75 - 83
Database
ISI
SICI code
0030-8730(199911)191:1<75:NSGBI>2.0.ZU;2-6
Abstract
We study numerical semigroups generated by intervals and solve the followin g problems related to such semigroups: the membership problem, give an expl icit formula for the Frobenius number, decide whether the semigroup is a co mplete intersection and/or symmetric, and computation of the cardinality of a (any) minimal presentation of this kind of numerical semigroups.