GAP (NumericalSgps) - References

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### References

[BF06] Barucci, V. and Fröberg, R. Associated graded rings of one-dimensional analytically irreducible rings, J. Aalgebra, to appear, (2006)

[MR1283022] Contejean, E. and Devie, H. An efficient incremental algorithm for solving systems of linear Diophantine equations, Inform. and Comput., 113 (1), (1994), p. 143--172

[E01] Elias, J. On the deep structure of the blowing-up of curve singularities, Math. Proc. Camb. Phil. Soc., 131, (2001), p. 227--240

[GHKb] Geroldinger, A. and Halter-Koch, F. Non-unique Factorizations: Algebraic, Combinatorial and Analytic Theory, Chapman & Hall/CRC, (2006)

[HS04] Herzinger, K. and Sanford, R. Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight, Communications in Algebra, 32 (12), (2004), p. 4713-4731

[RGGB03] J. C. Rosales, P. A. García-Sánchez, J. I. G. and Branco, M. B. Numerical semigroups with maximal embedding dimension, J. Algebra, 2, (2003), p. 47--53

[RGGB04] J. C. Rosales, P. A. García-Sánchez, J. I. G. and Branco, M. B. Arf numerical semigroups, J. Algebra, 276, (2004), p. 3--12

[RGGJ04] J. C. Rosales, P. A. García-Sánchez, J. I. García-García, and Madrid, J. A. J. Fundamental gaps in numerical semigroups, J. Pure Appl. Algebra, 189 (1-3), (2004), p. 301--313

[RGGJ03] J. C. Rosales, P. A. García-Sánchez, J. I. G. and Jiménez-Madrid, J. A. The oversemigroups of a numerical semigroup, Semigroup Forum, 67, (2003), p. 145-158

[FGH87] R. Fröberg, C. G. and Häggkvist, R. On numerical semigroups, Semigroup Forum, 35 (1), (1987), p. 63--83

[Ros05] Rosales, J. C. An algorithm to solve proportionally modular Diophantine inequations, preprint

[Ros96] Rosales, J. C. An algorithmic method to compute a minimal relation for any numerical semigroup, Internat. J. Algebra Comput., 6, (1996), p. 441-455

[R96] Rosales, J. C. On numerical semigroups, Semigroup Forum, 52, (1996), p. 307-318

[RGS04] Rosales, J. C. Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators, Ark. Mat., 42, (2004), p. 301-306

[RB03] Rosales, J. C. and Branco, M. B. Irreducible numerical semigroups, Pacific J. Math., 209 (1), (2003), p. 131--143

[RGS99] Rosales, J. C. and García-Sánchez, P. A. Finitely generated commutative monoids, Nova Science Publishers, New York, (1999)

[CGL] S. T. Chapman, P. A. G. and Llena, D. The catenary and tame degree of numerical semigroups, submitted

[CHM06] S. T. Chapman, M. T. H. and Moore, T. A. Full elasticity in atomic monoids and integral domains, submitted

[CGLPR] S. T. Chapman, P. A. García-Sánchez, D. Llena, V. Ponomarenko, and Rosales, J. C. The catenary and tame degree in finitely generated cancellative monoids, Manuscripta Math., to appear, (2006)

[BDF97] V. Barucci, D. E. Dobbs, and Fontana, M. Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, Mem. Amer. Math. Soc., 125 (598), (1997)

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