Gaps in Nonsymmetric Numerical Semigroups
| dc.creator | Fel, Leonid G. | |
| dc.creator | Aicardi, Francesca | |
| dc.date | 2007-03-25 | |
| dc.date.accessioned | 2026-07-07T07:53:53Z | |
| dc.date.available | 2026-07-07T07:53:53Z | |
| dc.description | There exist two different sorts of gaps in the nonsymmetric numerical additive semigroups finitely generated by a minimal set of positive integers {d_1,...,d_m}. The h-gaps are specific only for the nonsymmetric semigroups while the g-gaps are possessed by both, symmetric and nonsymmetric semigroups. We derive the generating functions for the corresponding sets of gaps, Delta_H({\bf d}^m) and Delta_G({\bf d}^m), and prove several statements on the minimal and maximal values of the h-gaps. Detailed description of both sorts of gaps is given for three special kinds of nonsymmetric semigroups: semigroups with maximal embedding dimension, semigroups of maximal and almost maximal length, and pseudo--symmetric semigroups. | |
| dc.description | 20 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0703735 | |
| dc.identifier | http://arxiv.org/abs/math/0703735 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126393 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 20M14; 11P81 | |
| dc.title | Gaps in Nonsymmetric Numerical Semigroups | |
| dc.type | text |