Every numerical semigroup is one half of a symmetric numerical semigroup
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- by J. C. Rosales and P. A. García-Sánchez PDF
- Proc. Amer. Math. Soc. 136 (2008), 475-477 Request permission
Abstract:
Let $S$ be a numerical semigroup. Then there exists a symmetric numerical semigroup $\overline {S}$ such that $S=\{ n\in \mathbb {N} ~|~ 2n \in \overline {S}\}$.References
- J. L. Ramírez Alfonsín, The Diophantine Frobenius problem, Oxford Lecture Series in Mathematics and its Applications, vol. 30, Oxford University Press, Oxford, 2005. MR 2260521, DOI 10.1093/acprof:oso/9780198568209.001.0001
- Ernst Kunz, The value-semigroup of a one-dimensional Gorenstein ring, Proc. Amer. Math. Soc. 25 (1970), 748–751. MR 265353, DOI 10.1090/S0002-9939-1970-0265353-7
Additional Information
- J. C. Rosales
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: jrosales@ugr.es
- P. A. García-Sánchez
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: pedro@ugr.es
- Received by editor(s): January 19, 2007
- Published electronically: October 25, 2007
- Additional Notes: The authors were supported by the project MTM2004-01446 and FEDER funds
The authors want to thank the referee for her/his comments and suggestions - Communicated by: Martin Lorenz
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 475-477
- MSC (2000): Primary 20M14, 13H10
- DOI: https://doi.org/10.1090/S0002-9939-07-09098-3
- MathSciNet review: 2358486