\begin{thebibliography}{JCRJM03}

\bibitem[BA08]{B-A08}
Maria Bras-Amor{\'o}s.
\newblock Fibonacci-like behavior of the number of numerical semigroups of a
  given genus.
\newblock {\em Semigroup Forum}, 76:379--384, 2008.

\bibitem[BF06]{BF06}
V.~Barucci and R.~Fröberg.
\newblock Associated graded rings of one-dimensional analytically irreducible
  rings.
\newblock {\em J. Algebra}, 304:349--358, 2006.

\bibitem[BR08]{Ros05}
M.~Bullejos and J.~C. Rosales.
\newblock Proportionally modular diophantine inequalities and the stern-brocot
  tree.
\newblock {\em MATHEMATICS OF COMPUTATION}, 2008.

\bibitem[CD94]{MR1283022}
Evelyne Contejean and Herv\'e Devie.
\newblock An efficient incremental algorithm for solving systems of linear
  {D}iophantine equations.
\newblock {\em Inform. and Comput.}, 113(1):143--172, 1994.

\bibitem[Eli01]{E01}
J.~Elias.
\newblock On the deep structure of the blowing-up of curve singularities.
\newblock {\em Math. Proc. Camb. Phil. Soc.}, 131:227--240, 2001.

\bibitem[GHK06]{GHKb}
A.~Geroldinger and F.~Halter-Koch.
\newblock {\em Non-unique Factorizations: Algebraic, Combinatorial and Analytic
  Theory}.
\newblock Chapman \& Hall/CRC, 2006.

\bibitem[HS04]{HS04}
Kurt Herzinger and Ryan Sanford.
\newblock Minimal generating sets for relative ideals in numerical semigroups
  of multiplicity eight.
\newblock {\em Communications in Algebra}, 32(12):4713--4731, 2004.

\bibitem[JCR04]{RGS04}
P.~A. Garc\'ia-S\'anchez J.~C.~Rosales.
\newblock Every positive integer is the frobenius number of an irreducible
  numerical semigroup with at most four generators.
\newblock {\em Ark. Mat.}, 42:301--306, 2004.

\bibitem[JCRB03]{RGGB03}
J.~I. Garc\'ia-Garc\'ia J.~C.~Rosales, P. A. Garc\'ia-S\'anchez and M.~B.
  Branco.
\newblock Numerical semigroups with maximal embedding dimension.
\newblock {\em J. Algebra}, 2:47--53, 2003.

\bibitem[JCRB04]{RGGB04}
J.~I. Garc\'ia-Garc\'ia J.~C.~Rosales, P. A. Garc\'ia-S\'anchez and M.~B.
  Branco.
\newblock Arf numerical semigroups.
\newblock {\em J. Algebra}, 276:3--12, 2004.

\bibitem[JCRJM03]{RGGJ03}
J.~I. Garc\'ia-Garc\'ia J.~C.~Rosales, P. A. Garc\'ia-S\'anchez and J.~A.
  Jiménez-Madrid.
\newblock The oversemigroups of a numerical semigroup.
\newblock {\em Semigroup Forum}, 67:145--158, 2003.

\bibitem[JCRM04]{RGGJ04}
J.~I. Garc\'ia-Garc\'ia J.~C.~Rosales, P. A. Garc\'ia-S\'anchez and
  J.~A.~Jim\'enez Madrid.
\newblock Fundamental gaps in numerical semigroups.
\newblock {\em J. Pure Appl. Algebra}, 189(1-3):301--313, 2004.

\bibitem[RB03]{RB03}
J.~C. Rosales and M.~B. Branco.
\newblock Irreducible numerical semigroups.
\newblock {\em Pacific J. Math.}, 209(1):131--143, 2003.

\bibitem[RFH87]{FGH87}
C.~Gottlieb R.~Fröberg and R.~Häggkvist.
\newblock On numerical semigroups.
\newblock {\em Semigroup Forum}, 35(1):63--83, 1987.

\bibitem[RGS99]{RGS99}
J.~C. Rosales and P.~A. Garc\'ia-S\'anchez.
\newblock {\em Finitely generated commutative monoids}.
\newblock Nova Science Publishers, New York, 1999.

\bibitem[RGSar]{RGbook}
J.C Rosales and P.A. García~Sánchez.
\newblock {\em Numerical Semigroups}.
\newblock Springer, To Appear.

\bibitem[Ros96a]{Ros96}
J.~C. Rosales.
\newblock An algorithmic method to compute a minimal relation for any numerical
  semigroup.
\newblock {\em Internat. J. Algebra Comput.}, 6:441--455, 1996.

\bibitem[Ros96b]{R96}
J.~C. Rosales.
\newblock On numerical semigroups.
\newblock {\em Semigroup Forum}, 52:307--318, 1996.

\bibitem[STCL07]{CGL}
P.~A. Garc\'ia-S\'anchez S.~T.~Chapman and D.~Llena.
\newblock The catenary and tame degree of numerical semigroups.
\newblock {\em Forum Math.}, pages 1--13, 2007.

\bibitem[STCM06]{CHM06}
M.~T.~Holden S.~T.~Chapman and T.~A. Moore.
\newblock Full elasticity in atomic monoids and integral domains.
\newblock {\em Rocky Mountain J. Math.}, 36(5):1437--1455, 2006.

\bibitem[STCR06]{CGLPR}
D.~Llena V.~Ponomarenko S.~T.~Chapman, P. A. Garc\'ia-S\'anchez and J.~C.
  Rosales.
\newblock The catenary and tame degree in finitely generated commutative
  cancellative monoids.
\newblock {\em Manuscripta Math.}, 120(3):253--264, 2006.

\bibitem[VBF97]{BDF97}
David E.~Dobbs Valentina~Barucci and Marco Fontana.
\newblock {\em Maximality properties in numerical semigroups and applications
  to one-dimensional analytically irreducible local domains}.
\newblock Number 598 in Memoirs of the American Mathematical Society. American
  Mathematical Society, 1997.

\bibitem[VMi02]{VMic02}
Vincenzo VMicale.
\newblock On monomial semigroups.
\newblock {\em Communications in Algebra}, 30:4687 -- 4698, 2002.

\end{thebibliography}