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Authors: Rosales, J.C.
Branco, M.B.
Vasco, P
Editors: Springer- Verlag Berlin Heidelberg
Keywords: numerical semigroup
Diophantine inequality
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.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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