PROPORTIONALLY MODULAR DIOPHANTINE INEQUALITIES AND THEIR MULTIPLICITY

dc.contributor.author	Rosales, J.C.
dc.contributor.author	Branco, M.B.
dc.contributor.author	Vasco, P
dc.contributor.editor	Springer- Verlag Berlin Heidelberg
dc.date.accessioned	2012-11-23T14:40:44Z
dc.date.available	2012-11-23T14:40:44Z
dc.date.issued	2010-10-15
dc.description.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.	por
dc.identifier.authoremail	jrosales@uevora.pt
dc.identifier.authoremail	mbb@uevora.pt
dc.identifier.authoremail	pvasco@utad.pt
dc.identifier.scientificarea	333	por
dc.identifier.uri	http://hdl.handle.net/10174/5957
dc.language.iso	por	por
dc.peerreviewed	yes	por
dc.publisher	Acta Mathematica Sinica, English Series	por
dc.rights	restrictedAccess	por
dc.subject	numerical semigroup	por
dc.subject	Diophantine inequality	por
dc.subject	multiplicity	por
dc.subject	Frobenius number	por
dc.title	PROPORTIONALLY MODULAR DIOPHANTINE INEQUALITIES AND THEIR MULTIPLICITY	por
dc.type	article	por

Files

Now showing 1 - 1 of 1

Now showing 1 - 1 of 1