Open Access
Spring 2011 Modular numerical semigroups with embedding dimension equal to three
Aureliano M. Robles-Pérez, José Carlos Rosales
Illinois J. Math. 55(1): 77-88 (Spring 2011). DOI: 10.1215/ijm/1355927028

Abstract

In this paper, we give explicit descriptions of all numerical semigroups, generated by three positive integer numbers, that are the set of solutions of a Diophantine inequality of the form $ax \operatorname{mod} b\leq x$.

Citation

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Aureliano M. Robles-Pérez. José Carlos Rosales. "Modular numerical semigroups with embedding dimension equal to three." Illinois J. Math. 55 (1) 77 - 88, Spring 2011. https://doi.org/10.1215/ijm/1355927028

Information

Published: Spring 2011
First available in Project Euclid: 19 December 2012

zbMATH: 1275.11064
MathSciNet: MR3006680
Digital Object Identifier: 10.1215/ijm/1355927028

Subjects:
Primary: 11D75 , 20M14
Secondary: 13H10

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 1 • Spring 2011
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