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Numerical Semigroups Having a Toms Decomposition

Published online by Cambridge University Press:  20 November 2018

J. C. Rosales  and
P. A. García-Śanchez
J. C. Rosales
Affiliation:
Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain e-mail: jrosales@ugr.es e-mail: pedro@ugr.es
P. A. García-Śanchez
Affiliation:
Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain e-mail: jrosales@ugr.es e-mail: pedro@ugr.es
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Abstract

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We show that the class of system proportionally modular numerical semigroups coincides with the class of numerical semigroups having a Toms decomposition.

Keywords

20M1411D75
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 1 , 01 March 2008 , pp. 134 - 139
Copyright
Copyright © Canadian Mathematical Society 2008

References

[1] Rosales, J. C., García-Śanchez, P. A., García-García, J. I., and Urbano-Blanco, J. M., Proportionally modular Diophantine inequalities. J. Number Theory 103(2003), no. 2, 281–294.Google Scholar
[2] Rosales, J. C. and Urbano-Blanco, J. M., Proportionally modular Diophantine inequalities and full semigroups. Semigroup Forum 72(2006), no. 3, 362–374.Google Scholar
[3] Toms, A., Strongly perforated K0-groups of simple C*-algebras. Canad. Math. Bull. 46(2003), no. 3, 457–472.Google Scholar