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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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IMPACT FACTOR 2016: 0.755
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1435-5337
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Volume 21, Issue 1 (Jan 2009)

Issues

The catenary and tame degree of numerical monoids

S. T. Chapman
  • Trinity University, Department of Mathematics, One Trinity Place, San Antonio, Texas 78212-7200.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ P. A. García-Sánchez / D. Llena
  • Departamento de Geometría, Topología y Química Orgánica, Universidad de Almería, 04120 Almería, España.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2009-01-30 | DOI: https://doi.org/10.1515/FORUM.2009.006

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.

About the article

Received: 2007-02-11

Revised: 2007-06-21

Published Online: 2009-01-30

Published in Print: 2009-01-01


Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/FORUM.2009.006.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Scott T. Chapman, Marly Corrales, Andrew Miller, Chris Miller, and Dhir Patel
Communications in Algebra, 2017, Volume 45, Number 12, Page 5443
[2]
Claire Kiers, Christopher O'Neill, and Vadim Ponomarenko
Communications in Algebra, 2016, Volume 44, Number 9, Page 3842
[3]
Alfred Geroldinger and Qinghai Zhong
Journal of Pure and Applied Algebra, 2016, Volume 220, Number 11, Page 3713
[4]
Christopher O’Neill, Vadim Ponomarenko, Reuben Tate, and Gautam Webb
International Journal of Algebra and Computation, 2016, Volume 26, Number 03, Page 565
[5]
S. T. Chapman, P. A. García-Sánchez, Z. Tripp, and C. Viola
Journal of Algebra and Its Applications, 2016, Volume 15, Number 01, Page 1650007
[6]
Pedro A. García-Sánchez and Caterina Viola
Involve, a Journal of Mathematics, 2015, Volume 8, Number 4, Page 677
[7]
Christopher O'Neill and Roberto Pelayo and Roberto Pelayo
The American Mathematical Monthly, 2015, Volume 122, Number 2, Page 121
[8]
ALFRED GEROLDINGER and QINGHAI ZHONG
Journal of the Australian Mathematical Society, 2015, Volume 98, Number 03, Page 324
[9]
SCOTT T. CHAPMAN, MARLY CORRALES, ANDREW MILLER, CHRIS MILLER, and DHIR PATEL
Journal of the Australian Mathematical Society, 2014, Volume 97, Number 03, Page 289
[10]
Weidong Gao, Alfred Geroldinger, and Wolfgang A. Schmid
Communications in Algebra, 2015, Volume 43, Number 1, Page 262
[12]
Christopher O'Neill and Roberto Pelayo
Journal of Pure and Applied Algebra, 2014, Volume 218, Number 9, Page 1620
[13]
Alfred Geroldinger and Pingzhi Yuan
Results in Mathematics, 2013, Volume 63, Number 3-4, Page 999
[14]
Francesc Aguiló-Gost and Pedro A. García-Sánchez
Electronic Notes in Discrete Mathematics, 2009, Volume 34, Page 157
[15]
Alfred Geroldinger and Florian Kainrath
Journal of Pure and Applied Algebra, 2010, Volume 214, Number 12, Page 2199
[16]
Paul Baginski, S.T. Chapman, Ryan Rodriguez, George J. Schaeffer, and Yiwei She
Journal of Pure and Applied Algebra, 2010, Volume 214, Number 8, Page 1334
[17]
A. Geroldinger, D.J. Grynkiewicz, G.J. Schaeffer, and W.A. Schmid
Journal of Pure and Applied Algebra, 2010, Volume 214, Number 12, Page 2219
[18]
Víctor Blanco
European Journal of Operational Research, 2011, Volume 215, Number 3, Page 539
[20]
Andreas Philipp
Semigroup Forum, 2010, Volume 81, Number 3, Page 424

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