Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension
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- by J. C. Rosales PDF
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Abstract:
We construct symmetric numerical semigroups $S$ for every minimal number of generators $\mu (S)$ and multiplicity $\mathsf {m}(S)$, $2\leq \mu (S)\leq \mathsf {m}(S)-1$. Furthermore we show that the set of their defining congruence is minimally generated by $\mu (S)(\mu (S)-1)/2-1$ elements.References
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Additional Information
- J. C. Rosales
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: jrosales@ugr.es
- Received by editor(s): July 29, 1999
- Received by editor(s) in revised form: December 9, 1999
- Published electronically: January 17, 2001
- Additional Notes: This paper was supported by the project DGES PB96-1424.
The author would like to thank P. A. García-Sánchez, J. I. García-García and the referee for their comments and suggestions. - Communicated by: Wolmer V. Vasconcelos
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2197-2203
- MSC (2000): Primary 20M14, 20M05, 20M30, 13H10
- DOI: https://doi.org/10.1090/S0002-9939-01-05819-1
- MathSciNet review: 1823900