@incollection {JMDA,
    AUTHOR = {Delgado, M. and Garc\'{\i}a-S\'anchez, P. A. and Morais, J.},
     TITLE = {On the {GAP} package numericalsgps},
 BOOKTITLE = {Fifth {C}onference on {D}iscrete {M}athematics and {C}omputer
              {S}cience ({S}panish)},
    SERIES = {Ciencias (Valladolid)},
    VOLUME = {23},
     PAGES = {271--278},
 PUBLISHER = {Univ. Valladolid},
   ADDRESS = {Secr. Publ. Intercamb. Ed., Valladolid},
      YEAR = {2006},
   MRCLASS = {20-04},
  MRNUMBER = {2325970},
}

@article {MR1283022,
     AUTHOR = "Contejean, E. and Devie, H.",
      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= "Herzinger, K. and Sanford, R.",
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= "Rosales, J. C.",
title= "On numerical semigroups",
journal= "Semigroup Forum",
volume= "52",
year= "1996",
pages= "307-318"
}


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


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

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


@Article{Ros96,
author= "Rosales, J. C.",
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= "Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A.",
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 = {Barucci, V. and Dobbs, D. D. and Fontana, M.},
  number = {598},
  series = {Memoirs of the American Mathematical Society}
}

@Article {FGH87,
    AUTHOR = {Fr\"oberg, R. and Gottlieb, C. and H\"aggkvist R.},
     TITLE = {On numerical semigroups},
   JOURNAL = {Semigroup Forum},
  FJOURNAL = {Semigroup Forum},
    VOLUME = {35},
      YEAR = {1987},
    NUMBER = {1},
     PAGES = {63--83}
}

@Article {RB03,
    AUTHOR = {Rosales, J. C. and Branco, M. B.},
     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 = {Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A. and Garc\'{\i}a-Garc\'{\i}a, J. I. and Branco, M. B.},
     TITLE = {Arf numerical semigroups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {276},
      YEAR = {2004},
     PAGES = {3--12}
}

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

@Article{Ros05,
   AUTHOR = {Bullejos, M. and Rosales, J. C.},
     TITLE = {Proportionally modular {D}iophantine inequalities and the
              {S}tern-{B}rocot tree},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {78},
      YEAR = {2009},
    NUMBER = {266},
     PAGES = {1211--1226},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {20M14 (11D75)},
  MRNUMBER = {2476582 (2010d:20063)},
MRREVIEWER = {P. G. Trotter},
       DOI = {10.1090/S0025-5718-08-02173-X},
       URL = {http://dx.doi.org/10.1090/S0025-5718-08-02173-X},
}

@article {RGGJ04,
    AUTHOR = {Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A. and Garc\'{\i}a-Garc\'{\i}a, J. I. and Jim\'enez Madrid, J. A.},
     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= "Geroldinger, A. and Halter-Koch, F.",
title= "Non-unique Factorizations: Algebraic, Combinatorial and
Analytic Theory",
year= "2006",
publisher= "Chapman \& Hall/CRC"
}

@Article{CGLPR,
author= "Chapman, S. T. and Garc\'{\i}a-S\'anchez, P. A. and Llena, D. and Ponomarenko, V. and Rosales, J. C.",
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= "Chapman, S. T. and Garc\'{\i}a-S\'anchez, P. A. and Llena D.",
title= "The catenary and tame degree of numerical semigroups",
  journal = {Forum Math.},
  year = {2007},
  pages = {1--13}
}


@Article{CHM06,
author= "Chapman, S. T. and Holden, M. T. and  Moore, T. A.",
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= {Barucci, V. and Fr\"oberg, R.},
title= "Associated graded rings of one-dimensional analytically
irreducible rings",
journal= "J. Algebra",
volume= "304",
year= "2006",
pages = "349--358"
}


@Article{E01,
author= "Elias, J.",
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= "Barucci, V.",
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 = {Micale, V.},
  title = {On monomial semigroups},
  journal = {Communications in Algebra},
  year = {2002},
  volume = {30},
  pages = {4687 - 4698}
}
@ARTICLE{B-A08,
  author = {Bras-Amor\'os, M.},
  title = {Fibonacci-like behavior of the number of numerical semigroups of
	a given genus},
  journal = {Semigroup Forum},
  year = {2008},
  volume = {76},
  pages = {379--384}
}

@article {BA-GS,
    AUTHOR = {Bras-Amor{\'o}s, Maria and Garc{\'{\i}}a-S{\'a}nchez, Pedro
              A.},
     TITLE = {Patterns on numerical semigroups},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {414},
      YEAR = {2006},
    NUMBER = {2-3},
     PAGES = {652--669},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {20M14},
  MRNUMBER = {2214415 (2007b:20129)},
MRREVIEWER = {Andrei Kelarev},
       DOI = {10.1016/j.laa.2005.11.007},
       URL = {http://dx.doi.org/10.1016/j.laa.2005.11.007},
}


@Article{GS-O,
author= "Garc\'{\i}a-S\'anchez, P. A. and Ojeda, I.",
title= "Uniquely presented finitely generated commutative monoids",
journal= "Pacific J. Math.",
volume= "249",
year= "2010",
pages = "91--105"
}

@Article{B-GS-G,
author= "Blanco, V. and Garc\'{\i}a-S\'anchez, P. A. and Geroldinger, A",
title= "Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids",
journal= "Illinois J. Math.",
volume= "55",
year= "2011",
pages = "1385--1414"
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@Article{DA-M-M,
author= "D'Anna, M. and Mezzasalma, M. and Micale V.",
title="On the Buchsbaumness of the associated graded ring of a one-dimensional local ring",
journal="Comm. Algebra",
volume="37",
year= "2009",
pages="1594--1603"
}

@article {DA-M-S,
    AUTHOR = {D'Anna, M. and Micale, V. and Sammartano, A.},
     TITLE = {On the associated graded ring of a semigroup ring},
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  FJOURNAL = {Journal of Commutative Algebra},
    VOLUME = {3},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {147--168},
      ISSN = {1939-0807},
   MRCLASS = {13A30 (13H10)},
  MRNUMBER = {2813470},
}


@Article {Br,
    AUTHOR = {Bryant, L.},
     TITLE = {Goto numbers of a numerical semigroup ring and the
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    VOLUME = {38},
      YEAR = {2010},
    NUMBER = {6},
     PAGES = {2092--2128},
      ISSN = {0092-7872},
     CODEN = {COALDM},
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  MRNUMBER = {2675524},
MRREVIEWER = {Grigori I. {\v{Z}}itomirski{\u\i}},
       DOI = {10.1080/00927870903025993},
       URL = {http://dx.doi.org/10.1080/00927870903025993},
}

@Article{BR13,
    AUTHOR = {Blanco, Victor and Rosales, Jos{\'e} Carlos},
     TITLE = {The tree of irreducible numerical semigroups with fixed
              {F}robenius number},
   JOURNAL = {Forum Math.},
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    VOLUME = {25},
      YEAR = {2013},
    NUMBER = {6},
     PAGES = {1249--1261},
      ISSN = {0933-7741},
   MRCLASS = {11D07 (05A18 13H10 20M14)},
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MRREVIEWER = {Raheleh Jafari},
       DOI = {10.1515/form.2011.151},
       URL = {http://dx.doi.org/10.1515/form.2011.151},
}

@article {MR3169635,
    AUTHOR = {Rosales, J. C. and Garc{\'{\i}}a-S{\'a}nchez, P. A.},
     TITLE = {Constructing almost symmetric numerical semigroups from
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   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {42},
      YEAR = {2014},
    NUMBER = {3},
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      ISSN = {0092-7872},
   MRCLASS = {20M14 (20M25)},
  MRNUMBER = {3169635},
MRREVIEWER = {Attila Nagy},
       DOI = {10.1080/00927872.2012.740117},
       URL = {http://dx.doi.org/10.1080/00927872.2012.740117},
}

@article {MR3354072,
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    VOLUME = {43},
      YEAR = {2015},
    NUMBER = {7},
     PAGES = {2943--2963},
      ISSN = {0092-7872},
   MRCLASS = {20M14 (13A99)},
  MRNUMBER = {3354072},
       DOI = {10.1080/00927872.2014.908201},
       URL = {http://dx.doi.org/10.1080/00927872.2014.908201},
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@article {KP95,
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     TITLE = {The minimum distance of codes in an array coming from
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@article{AGS13,
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	year={2013}
}

@article{AGS14,
	author={Assi, A.  and  Garc\'{\i}a-S\'anchez, P. A.},
	title={Algorithms for curves with one place at infinity},
	journal= "Journal of Symbolic Computation",
	volume= "74",
  pages= "475--492",
	year= "2016"
}

@article{AGSM14,
	author={Assi, A.  and  Garc\'{\i}a-S\'anchez, P. A. and V. Micale},
	title={Bases of subalgebras of K[[x]] and K[x]},
	journal= "Journal of Symbolic Computation",
	volume= "79",
  pages= " 4--22",
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@book{Z86,
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@BOOK{RGbook,
  title = {Numerical Semigroups},
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  year = {2009},
  author = {Rosales, J. C. and Garc\'{\i}a-S\'anchez, P. A.}
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@article{DAMSwhen,
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       URL = {http://dx.doi.org/10.1016/j.jpaa.2012.09.024},
       }
@article{DAMSClasses,
    AUTHOR = {D'Anna, Marco and Micale, Vincenzo and Sammartano, Alessio},
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      YEAR = {2014},
    NUMBER = {2},
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       URL = {http://dx.doi.org/10.1007/s00233-013-9547-y},
       }

@article{CJZ,
author={Cortadellas Ben\'{\i}tez, T. and  Jafari, R.  and Zarzuela Armengou, S.},
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year={2013},
volume={86},
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@article{PH,
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@article {BH,
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@Article{M,
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@article{AG-GS,
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@article{B-P-ON,
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@article{GG-MF-VT,
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@misc{Normaliz,
AUTHOR={Bruns, W. and  Ichim, B. and  R\"omer, T.  and  S\"oger C.},
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@misc{Singular,
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@misc{NmzInterface,
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@misc{SingularInterface,
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@Misc{4ti2,
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@Misc{4ti2Interface,
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@misc{ GradedModules,
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  title =            {{GradedModules},  A  homalg  based  package for the Abelian
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  month =            {Sep},
  year =             {2014},
  note =             {GAP package},
  howpublished =     {\href
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adedModules/}
                      {\texttt{http://homalg.math.rwth-aachen.de/}\discretionary
                      {}{}{}\texttt{\texttt{\symbol{126}}barakat/}\discretionary
                      {}{}{}\texttt{homalg-project/}\discretionary
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  keywords =         {modules;  graded modules; graduation; multi-graded modules;
                      Tate resolution},
  printedkey =       {BGJLLM14}
}

@article{DGSRP15,
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@article {A-A-GS,
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@Article{DelgadoFarranGarcia-SanchezLlena2013MC,
  Title                    = {{On the generalized Feng-Rao numbers of numerical semigroups generated by intervals}},
  Author                   = {{Delgado}, M. and {Farr{\'a}n}, J.~I. and {Garc{\'{\i}}a-S{\'a}nchez}, P.~A. and {Llena}, D.},
  Journal                  = {Mathematics of Computation},
  Year                     = {2013},
  Number                   = {283},
  Pages                    = {1813--1836},
  Volume                   = {82},

  Adsnote                  = {Provided by the SAO/NASA Astrophysics Data System},
  Adsurl                   = {http://adsabs.harvard.edu/abs/2011arXiv1105.4833D},
  Archiveprefix            = {arXiv},
  Doi                      = {http://dx.doi.org/10.1090/S0025-5718-2013-02673-7},
  Eprint                   = {1105.4833},
  Keywords                 = {Mathematics - Number Theory, 20M14, 11Y55, 11T71},
  Primaryclass             = {math.NT}
}
