Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/5957
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| Title: | PROPORTIONALLY MODULAR DIOPHANTINE INEQUALITIES AND THEIR MULTIPLICITY |
| Authors: | Rosales, J.C.
Branco, M.B.
Vasco, P |
| Editors: | Springer- Verlag Berlin Heidelberg |
| Keywords: | numerical semigroup
Diophantine inequality
multiplicity
Frobenius number |
| Issue Date: | 15-Oct-2010 |
| Publisher: | Acta Mathematica Sinica, English Series |
| Abstract: | Let I be an interval of positive rational numbers. Then the set
S(I ) Æ T \N, where T is the submonoid of
¡
QÅ
0 ,Å
¢
generated by T , is a numerical
semigroup. These numerical semigroups are called proportionally
modular and can be characterized as the set of integer solutions of aDiophantine
inequality of the form ax mod b · cx. In this paper we are interested in
the study of the maximal intervals I subject to the condition that S(I ) has a
given multiplicity. We also characterize the numerical semigroups associated
to these maximal intervals. |
| URI: | http://hdl.handle.net/10174/5957 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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