Systems of proportionally modular Diophantine inequalities |
| |
Authors: | M. Delgado P. A. García-Sánchez J. C. Rosales J. M. Urbano-Blanco |
| |
Affiliation: | (1) Departamento de Matemática Pura, Faculdade de Ciências, 4169-007 Porto, Portugal;(2) Departamento de álgebra, Universidad de Granada, 18071 Granada, Spain |
| |
Abstract: | The set of integer solutions to the inequality ax mod b≤c x is a numerical semigroup. We study numerical semigroups that are intersections of these numerical semigroups. Recently it has been shown that this class of numerical semigroups coincides with the class of numerical semigroups having a Toms decomposition. The first author was (partially) supported by the Centro de Matemática da Universidade do Porto (CMUP), financed by FCT (Portugal) through the programmes POCTI and POSI, with national and European Community structural funds. The last three authors are supported by the project MTM2004-01446 and FEDER funds. The authors would like to thank the referee for her/his comments and suggestions. |
| |
Keywords: | Numerical semigroup Porportionally modular Diophantine inequality Frobenius number |
本文献已被 SpringerLink 等数据库收录! |