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Publication Date:
January 2009
ISSN:
1435-5337
DOI:
10.1515/FORUM.2009.006

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The catenary and tame degree of numerical monoids

S. T. Chapman1 / P. A. García-Sánchez2 / D. Llena3

1Trinity University, Department of Mathematics, One Trinity Place, San Antonio, Texas 78212-7200. schapman@trinity.edu

2Departamento de Álgebra, Universidad de Granada, E-18071 Granada, España. pedro@ugr.es

3Departamento de Geometría, Topología y Química Orgánica, Universidad de Almería, 04120 Almería, España. dllena@ual.es

Citation Information: Forum Mathematicum. Volume 21, Issue 1, Pages 117–129, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/FORUM.2009.006, January 2009

Publication History:
Received:
2007-02-11
Revised:
2007-06-21
Published Online:
2009-01-30

Abstract

We construct an algorithm which computes the catenary and tame degree of a numerical monoid. As an example we explicitly calculate the catenary and tame degree of numerical monoids generated by arithmetical sequences in terms of their first element, the number of elements in the sequence and the difference between two consecutive elements of the sequence.

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