GAP (NumericalSgps) - References

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[CGSL+06] Chapman, S. T., Garc\'{\i}a-S\'anchez, P. A., Llena, D., Ponomarenko, V. and Rosales, J. C., The catenary and tame degree in finitely generated commutative cancellative monoids, Manuscripta Math., 120 (3) (2006), 253--264.

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[GHS14] Gutsche, S., Horn, M. and S\"oger, C., NormalizInterface for GAP (2014), \url{https://github.com/fingolfin/NormalizInterface}.

[GSHKR17] Garc{\'{\i}}a-S{\'a}nchez, P. A., Heredia, B. A., Karakas, H. I. and Rosales, J. C., Parametrizing Arf numerical semigroups, J. Algebra Appl., 16 (2017), 1750209 (31 pages).

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[GSOSRN13] Garc{\'{\i}}a S{\'a}nchez, P. A., Ojeda, I. and S{\'a}nchez-R. -Navarro, A., Factorization invariants in half-factorial affine semigroups, Internat. J. Algebra Comput., 23 (1) (2013), 111--122.

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[RGS99a] Rosales, J. C. and Garc{\'{\i}}a-S{\'a}nchez, P. A., On free affine semigroups, Semigroup Forum, 58 (3) (1999), 367--385.

[RGS99b] Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A., Finitely generated commutative monoids, Nova Science Publishers, New York (1999).

[RGS04] Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A., Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators, Ark. Mat., 42 (2004), 301-306.

[RGS09] Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A., Numerical Semigroups, Springer (2009).

[RGS14] Rosales, J. C. and Garc{\'{\i}}a-S{\'a}nchez, P. A., Constructing almost symmetric numerical semigroups from irreducible numerical semigroups, Comm. Algebra, 42 (3) (2014), 1362--1367.

[RGSGGB03] Rosales, J. C., Garc\'{\i}a-S\'anchez, P. A., Garc\'{\i}a-Garc\'{\i}a, J. I. and Branco, M. B., Numerical semigroups with maximal embedding dimension, J. Algebra, 2 (2003), 47--53.

[RGSGGB04] Rosales, J. C., Garc\'{\i}a-S\'anchez, P. A., Garc\'{\i}a-Garc\'{\i}a, J. I. and Branco, M. B., Arf numerical semigroups, J. Algebra, 276 (2004), 3--12.

[RGSGGJM03] Rosales, J. C., Garc\'{\i}a-S\'anchez, P. A., Garc\'{\i}a-Garc\'{\i}a, J. I. and Jim\'enez-Madrid, J. A., The oversemigroups of a numerical semigroup, Semigroup Forum, 67 (2003), 145-158.

[RGSGGJM04] Rosales, J. C., Garc\'{\i}a-S\'anchez, P. A., Garc\'{\i}a-Garc\'{\i}a, J. I. and Jim\'enez Madrid, J. A., Fundamental gaps in numerical semigroups, J. Pure Appl. Algebra, 189 (1-3) (2004), 301--313.

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[tt] 4ti2 team,, 4ti2---A software package for algebraic, geometric and combinatorial problems on linear spaces, {A}vailable at www.4ti2.de.

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