@article {MR1283022,
     AUTHOR = "Contejean, Evelyne and Devie, Herv\'e",
      TITLE = "An efficient incremental algorithm for solving systems of
               linear {D}iophantine equations",
    JOURNAL = "Inform. and Comput.",
   FJOURNAL = "Information and Computation",
     VOLUME = "113",
       YEAR = "1994",
     NUMBER = "1",
      PAGES = "143--172",
       ISSN = "0890-5401",
    MRCLASS = "11Y50 (11D04 68Q20)",
   MRNUMBER = "MR1283022 (96a:11151)",
 MRREVIEWER = "B\'ela Vizv\'ari"
}

@Article{HS04,
author= "Kurt Herzinger and Ryan Sanford",
title= "Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight",
journal= "Communications in Algebra",
volume= "32",
number = "12",
year= "2004",
pages= "4713-4731"
}


@Article{R96,
author= "J. C. Rosales",
title= "On numerical semigroups",
journal= "Semigroup Forum",
volume= "52",
year= "1996",
pages= "307-318"
}


@Book{RGS99,
author= "J. C. Rosales and P. A. Garc\'ia-S\'anchez",
title= "Finitely generated commutative monoids",
year= "1999",
publisher= "Nova Science Publishers",
address= "New York"
}


@Article{RGGU03,
author= "J. C. Rosales, P. A. Garc\'ia-S\'anchez, J. I. Garc\'ia-Garc\'ia and
J. M. Urbano-Blanco",
title= "Proportionally modular Diophantine inequalities",
journal= "J. Number Theory",
volume= "103",
year= "2003",
pages= "281-294"
}

@Article{RGGJ03,
author= "J. C. Rosales, P. A. Garc\'ia-S\'anchez, J. I. Garc\'ia-Garc\'ia and
J. A. Jiménez-Madrid",
title= "The oversemigroups of a numerical semigroup",
journal= "Semigroup Forum",
volume= "67",
year= "2003",
pages= "145-158"
}


@Article{Ros96,
author= "J. C. Rosales",
title= "An algorithmic method to compute a minimal relation for any numerical semigroup",
journal= "Internat. J. Algebra Comput.",
volume= "6",
year= "1996",
pages= "441-455"
}

@Article{RGS04,
author= "J. C. Rosales, P. A. Garc\'ia-S\'anchez",
title= "Every positive integer is the Frobenius number
        of an irreducible numerical semigroup with at most four generators",
journal= "Ark. Mat.",
volume= "42",
year= "2004",
pages= "301-306"
}

@BOOK{BDF97,
  title = {Maximality properties in numerical semigroups and applications to
	one-dimensional analytically irreducible local domains},
  publisher = {American Mathematical Society},
  year = {1997},
  author = {Valentina Barucci, David E. Dobbs and Marco Fontana},
  number = {598},
  series = {Memoirs of the American Mathematical Society}
}

@Article {FGH87,
    AUTHOR = {R. Fröberg, C. Gottlieb and R. Häggkvist},
     TITLE = {On numerical semigroups},
   JOURNAL = {Semigroup Forum},
  FJOURNAL = {Semigroup Forum},
    VOLUME = {35},
      YEAR = {1987},
    NUMBER = {1},
     PAGES = {63--83}
}

@Article {RB03,
    AUTHOR = {J. C. Rosales and M. B. Branco},
     TITLE = {Irreducible numerical semigroups},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {209},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {131--143}
}

@Article {RGGB04,
    AUTHOR = {J. C. Rosales, P. A. Garc\'ia-S\'anchez, J. I. Garc\'ia-Garc\'ia and M. B. Branco},
     TITLE = {Arf numerical semigroups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {276},
      YEAR = {2004},
     PAGES = {3--12}
}

@Article {RGGB03,
    AUTHOR = {J. C. Rosales, P. A. Garc\'ia-S\'anchez, J. I. Garc\'ia-Garc\'ia and M. B. Branco},
     TITLE = {Numerical semigroups with maximal embedding dimension},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {2},
      YEAR = {2003},
     PAGES = {47--53}
}

@Article{Ros05,
author= "M. Bullejos and J. C. Rosales",
title= "Proportionally modular diophantine inequalities and the Stern-Brocot tree",
journal= "MATHEMATICS OF COMPUTATION",
year = "2008"
}

@article {HS04,
    AUTHOR = {K. Herzinger and R. Sanford},
     TITLE = {Minimal generating sets for relative ideals in numerical
              semigroups of multiplicity eight},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {32},
      YEAR = {2004},
    NUMBER = {12},
     PAGES = {4713--4731}
}


@article {RGGJ04,
    AUTHOR = {J. C. Rosales, P. A. Garc\'ia-S\'anchez, J. I.
              Garc\'ia-Garc\'ia, and  J. A. Jim\'enez Madrid},
     TITLE = {Fundamental gaps in numerical semigroups},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {189},
      YEAR = {2004},
    NUMBER = {1-3},
     PAGES = {301--313}
}


@Book{GHKb,
author= "A. Geroldinger and F. Halter-Koch",
title= "Non-unique Factorizations: Algebraic, Combinatorial and
Analytic Theory",
year= "2006",
publisher= "Chapman \& Hall/CRC"
}

@Article{CGLPR,
author= "S. T. Chapman, P. A. Garc\'ia-S\'anchez, D. Llena, V. Ponomarenko, and J. C. Rosales",
title = {The catenary and tame degree in finitely generated commutative cancellative
	monoids},
  journal = {Manuscripta Math.},
  year = {2006},
  volume = {120},
  pages = {253--264},
  number = {3}
}

@Article{CGL,
author= "S. T. Chapman, P. A. Garc\'ia-S\'anchez and D. Llena",
title= "The catenary and tame degree of numerical semigroups",
  journal = {Forum Math.},
  year = {2007},
  pages = {1--13}
}


@Article{CHM06,
author= "S. T. Chapman, M. T. Holden and T. A. Moore",
title= "Full elasticity in atomic monoids and integral domains",
journal= {Rocky Mountain J. Math.},
 Volume = {36},
Number ={5},
year = 2006,
Pages = {1437--1455}
}


@Article{BF06,
author= "V. Barucci and R. Fröberg",
title= "Associated graded rings of one-dimensional analytically
irreducible rings",
journal= "J. Algebra",
volume= "304",
year= "2006",
pages = "349--358"
}


@Article{E01,
author= "J. Elias",
title= "On the deep structure of the blowing-up of curve singularities",
journal= "Math. Proc.  Camb. Phil. Soc.",
volume= "131",
year= "2001",
pages= "227--240"
}


@Article{B06,
author= "V. Barucci",
title= "Numerical semiroup algebras",
journal= "Multiplicative Ideal Theory in Commutative Algebra,
a tribute to the work of Robert Gilmer",
publisher= "Springer Science and Business Media",
year="2006"
}

@ARTICLE{VMic02,
  author = {VMicale, Vincenzo},
  title = {On monomial semigroups},
  journal = {Communications in Algebra},
  year = {2002},
  volume = {30},
  pages = {4687 - 4698}
}
@ARTICLE{B-A08,
  author = {Bras-Amor{\'o}s, Maria},
  title = {Fibonacci-like behavior of the number of numerical semigroups of
	a given genus},
  journal = {Semigroup Forum},
  year = {2008},
  volume = {76},
  pages = {379--384}
}

@BOOK{RGbook,
  title = {Numerical Semigroups},
  publisher = {Springer},
  year = {To Appear},
  author = {Rosales, J.C and García Sánchez, P.A.}
}
