  
  
  [1XReferences[101X
  
  [[20XAAGS17[120X]  [16XAbbas,  A., Assi, A. and García-Sánchez, P. A.[116X, [17XCanonical bases of
  modules over one dimensional k-algebras[117X, [18Xarxiv:1703.02825[118X (2017).
  
  [[20XAGGS10[120X] [16XAguil{\'o}-Gost, F. and Garc{\'{\i}}a-S{\'a}nchez, P. A.[116X, [17XFactoring
  in embedding dimension three numerical semigroups[117X, [18XElectron. J. Combin.[118X, [19X17[119X,
  1 (2010), Research Paper 138, 21.
  
  [[20XAGS13[120X]  [16XAssi,  A. and Garc\'{\i}a-S\'anchez, P. A.[116X, [17XConstructing the set of
  complete  intersection  numerical  semigroups with a given Frobenius number[117X,
  [18XApplicable Algebra in Engineering, Communication and Computing[118X (2013).
  
  [[20XAGS16a[120X]  [16XAssi,  A.  and Garc\'{\i}a-S\'anchez, P. A.[116X, [17XAlgorithms for curves
  with  one  place  at  infinity[117X,  [18XJournal of Symbolic Computation[118X, [19X74[119X (2016),
  475--492.
  
  [[20XAGS16b[120X]  [16XAssi,  A. and Garc\'{\i}a-S\'{a}nchez, P. A.[116X, [17XNumerical semigroups
  and  applications[117X, Springer, [Cham], RSME Springer Series, [19X1[119X (2016), xiv+106
  pages.
  
  [[20XAGSM17[120X]  [16XAssi,  A.,  Garc\'{\i}a-S\'anchez,  P. A. and Micale, V.[116X, [17XBases of
  subalgebras  of K[[x]] and K[x][117X, [18XJournal of Symbolic Computation[118X, [19X79[119X (2017),
  4--22.
  
  [[20XBA04[120X]  [16XBras-Amor\'os,  M.[116X, [17XAcute semigroups, the order bound on the minimum
  distance,  and  the Feng-Rao improvements[117X, [18XIEEE Trans. Inform. Theory[118X, [19X50[119X, 6
  (2004), 1282--1289.
  
  [[20XBA08[120X] [16XBras-Amor\'os, M.[116X, [17XFibonacci-like behavior of the number of numerical
  semigroups of a given genus[117X, [18XSemigroup Forum[118X, [19X76[119X (2008), 379--384.
  
  [[20XBAGS06[120X]  [16XBras-Amor{\'o}s, M. and Garc{\'{\i}}a-S{\'a}nchez, P. A.[116X, [17XPatterns
  on numerical semigroups[117X, [18XLinear Algebra Appl.[118X, [19X414[119X, 2-3 (2006), 652--669.
  
  [[20XBC77[120X]  [16XBertin,  J.  and Carbonne, P.[116X, [17XSemi-groupes d'entiers et application
  aux branches[117X, [18XJ. Algebra[118X, [19X49[119X, 1 (1977), 81--95.
  
  [[20XBD89[120X]  [16XBradford, R. J. and Davenport, J. H.[116X, [17XEffective tests for cyclotomic
  polynomials[117X,  in  Symbolic and algebraic computation (Rome, 1988), Springer,
  Berlin, Lecture Notes in Comput. Sci., [19X358[119X (1989), 244--251.
  
  [[20XBDF97[120X]  [16XBarucci, V., Dobbs, D. D. and Fontana, M.[116X, [17XMaximality properties in
  numerical   semigroups  and  applications  to  one-dimensional  analytically
  irreducible  local  domains[117X,  American  Mathematical Society, Memoirs of the
  American Mathematical Society, 598 (1997).
  
  [[20XBDF00a[120X]   [16XBarucci,   V.,  D'Anna,  M.  and  Fr\"{o}berg,  R.[116X,  [17XAnalytically
  unramified  one-dimensional  semilocal  rings and their value semigroups[117X, [18XJ.
  Pure Appl. Algebra[118X, [19X147[119X, 3 (2000), 215--254.
  
  [[20XBDF00b[120X]  [16XBarucci,  V.,  D'Anna,  M.  and  Fr\"{o}berg, R.[116X, [17XThe semigroup of
  values  of  a  one-dimensional  local  ring  with  two minimal primes[117X, [18XComm.
  Algebra[118X, [19X28[119X, 8 (2000), 3607--3633.
  
  [[20XBF97[120X]  [16XBarucci,  V.  and  Fr\"oberg,  R.[116X, [17XOne-dimensional almost Gorenstein
  Rings[117X, [18XJ. Algebra[118X, [19X188[119X (1997), 418--442.
  
  [[20XBF06[120X]   [16XBarucci,   V.   and  Fr\"oberg,  R.[116X,  [17XAssociated  graded  rings  of
  one-dimensional  analytically  irreducible  rings[117X,  [18XJ.  Algebra[118X, [19X304[119X (2006),
  349--358.
  
  [[20XBGJ+14[120X]  [16XBarakat, M., Gutsche, S., Jambor, S., Lange-Hegermann, M., Lorenz,
  A.  and  Motsak,  O.[116X,  [17XGradedModules, A homalg based package for the Abelian
  category  of finitely presented graded modules over computable graded rings,
  Version       2014.09.17[117X       (2014),      ((GAP      package)),      \href
  {http://homalg.math.rwth-aachen.de/~barakat/homalg-project/Gr\ adedModules/}
  {\texttt{http://homalg.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}barakat/}\discretionary
  {}{}{}\texttt{homalg-project/}\discretionary {}{}{}\texttt{GradedModules/}}.
  
  [[20XBGSG11[120X]  [16XBlanco,  V.,  Garc\'{\i}a-S\'anchez,  P.  A.  and Geroldinger, A.[116X,
  [17XSemigroup-theoretical  characterizations  of  arithmetical  invariants  with
  applications  to  numerical monoids and Krull monoids[117X, [18XIllinois J. Math.[118X, [19X55[119X
  (2011), 1385--1414.
  
  [[20XBH13[120X]  [16XBryant,  L.  and  Hamblin, J.[116X, [17XThe maximal denumerant of a numerical
  semigroup[117X, [18XSemigroup Forum[118X, [19X86[119X, 3 (2013), 571--582.
  
  [[20XBIRC14[120X]  [16XBruns, W., Ichim, B., R\"omer, T. and C., S.[116X, [17XNormaliz. Algorithms
  for       rational      cones      and      affine      monoids[117X      (2014),
  \url{http://www.math.uos.de/normaliz}.
  
  [[20XBOP17[120X]  [16XBarron,  T.,  O'Neill, C. and Pelayo, R.[116X, [17XOn dynamic algorithms for
  factorization  invariants in numerical monoids[117X, [18XMath. Comp.[118X, [19X86[119X, 307 (2017),
  2429--2447.
  
  [[20XBOR18[120X] [16XBranco, M., Ojeda, I. and Rosales, J. C.[116X, [17XAlmost symmetric numerical
  semigroups with a given Frobenus number and type[117X, [18Xpreprint[118X (2018).
  
  [[20XBR09[120X]  [16XBullejos,  M. and Rosales, J. C.[116X, [17XProportionally modular Diophantine
  inequalities  and  the  Stern-Brocot  tree[117X,  [18XMath.  Comp.[118X,  [19X78[119X,  266 (2009),
  1211--1226.
  
  [[20XBR13[120X]  [16XBlanco,  V.  and  Rosales,  J. C.[116X, [17XThe tree of irreducible numerical
  semigroups   with  fixed  Frobenius  number[117X,  [18XForum  Math.[118X,  [19X25[119X,  6  (2013),
  1249--1261.
  
  [[20XBry10[120X]  [16XBryant,  L.[116X,  [17XGoto  numbers  of  a numerical semigroup ring and the
  Gorensteiness  of  associated  graded  rings[117X,  [18XComm.  Algebra[118X, [19X38[119X, 6 (2010),
  2092--2128.
  
  [[20XCAGGB02[120X] [16XC., R., Garc\'{\i}a-S\'anchezP. A. and Garc\'{\i}a-Garc\'{\i}a, J.
  I.  and  Branco,  M.  B.[116X,  [17XSYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS[117X,
  [18XJournal of the London Mathematical Society[118X, [19X65[119X (2002), 611--623.
  
  [[20XCBJZA13[120X]  [16XCortadellas  Ben\'{\i}tez,  T., Jafari, R. and Zarzuela Armengou,
  S.[116X,  [17XOn  teh  Ap\'ery  sets  of monomial curves[117X, [18XSemigroup Forum[118X, [19X86[119X (2013),
  289--320.
  
  [[20XCD94[120X]  [16XContejean,  E. and Devie, H.[116X, [17XAn efficient incremental algorithm for
  solving systems of linear Diophantine equations[117X, [18XInform. and Comput.[118X, [19X113[119X, 1
  (1994), 143--172.
  
  [[20XCdG12[120X]  [16XCostantini,  M.  and  de  Graaf,  W.[116X, [17XGAP package singular; the GAP
  interface                 to                 Singular[117X                (2012),
  \url{http://gap-system.org/Packages/singular.html}.
  
  [[20XCFR18[120X] [16XCisto, C., Failla, G. and R., U.[116X, [17XOn the generators of a generalized
  numerical semigroup[117X, [18XAnalele Stiintifice ale Universitatii Ovidius Constanta[118X
  (2018).
  
  [[20XCGSD07[120X]  [16XChapman,  S.  T.,  Garc\'{\i}a-S\'anchez,  P.  A.  and D., L.[116X, [17XThe
  catenary and tame degree of numerical semigroups[117X, [18XForum Math.[118X (2007), 1--13.
  
  [[20XCGSHPM19[120X] [16XCiolan, E.-A., Garc\'{i}a-S\'{a}nchez, P. A., Herrera-Poyatos, A.
  and  Moree,  P.[116X,  [17XCyclotomic  exponent  sequences  of  numerical semigroups[117X,
  [18Xpreprint[118X (2019).
  
  [[20XCGSL+06[120X]   [16XChapman,   S.  T.,  Garc\'{\i}a-S\'anchez,  P.  A.,  Llena,  D.,
  Ponomarenko, V. and Rosales, J. C.[116X, [17XThe catenary and tame degree in finitely
  generated  commutative  cancellative  monoids[117X,  [18XManuscripta  Math.[118X,  [19X120[119X,  3
  (2006), 253--264.
  
  [[20XCGSM16[120X]  [16XCiolan,  E.-A.,  Garc\'{i}a-S\'{a}nchez,  P.  A.  and  Moree,  P.[116X,
  [17XCyclotomic  numerical  semigroups[117X,  [18XSIAM  J.  Discrete  Math.[118X, [19X30[119X, 2 (2016),
  650--668.
  
  [[20XCHM06[120X]  [16XChapman,  S. T., Holden, M. T. and Moore, T. A.[116X, [17XFull elasticity in
  atomic  monoids and integral domains[117X, [18XRocky Mountain J. Math.[118X, [19X36[119X, 5 (2006),
  1437--1455.
  
  [[20XCRA13[120X]  [16XChappelon,  J.  and  Ram{\'{\i}}rez  Alfons{\'{\i}}n, J. L.[116X, [17XOn the
  M\"obius  function  of  the locally finite poset associated with a numerical
  semigroup[117X, [18XSemigroup Forum[118X, [19X87[119X, 2 (2013), 313--330.
  
  [[20XDdlM88[120X]  [16XDelgado  de  la  Mata,  F.[116X,  [17XGorenstein curves and symmetry of the
  semigroup of values[117X, [18XManuscripta Math.[118X, [19X61[119X, 3 (1988), 285--296.
  
  [[20XDGH01[120X]  [16XD'Anna,  M.,  Guerrieri,  A.  and Heinzer, W.[116X, [17XInvariants of ideals
  having principal reductions[117X, [18XComm. Algebra[118X, [19X29[119X, 2 (2001), 889--906.
  
  [[20XDGPS12[120X]  [16XDecker,  W.,  Greuel, G.-M., Pfister, G. and Sch\"onemann, H.[116X, [17X\sc
  Singular  3-1-6  ---  A  computer algebra system for polynomial computations[117X
  (2012), \url{http://www.singular.uni-kl.de}.
  
  [[20XDGS16[120X]  [16XDelgado,  M. and Garc{\'{\i}}a-S{\'a}nchez, P. A.[116X, [17Xnumericalsgps, a
  GAP  package  for  numerical  semigroups[117X, [18XACM Commun. Comput. Algebra[118X, [19X50[119X, 1
  (2016), 12--24.
  
  [[20XDGSM06[120X]  [16XDelgado,  M.,  Garc\'{\i}a-S\'anchez, P. A. and Morais, J.[116X, [17XOn the
  GAP  package  numericalsgps[117X, in Fifth Conference on Discrete Mathematics and
  Computer  Science  (Spanish),  Univ.  Valladolid, Ciencias (Valladolid), [19X23[119X,
  Secr. Publ. Intercamb. Ed., Valladolid (2006), 271--278.
  
  [[20XDGSMT18[120X]  [16XD'Anna, M., Garc\'{\i}a-S\'{a}nchez, P. A., Micale, V. and Tozzo,
  L.[116X,  [17XGood  subsemigroups  of  Bbb  N^n[117X,  [18XInternat. J. Algebra Comput.[118X, [19X28[119X, 2
  (2018), 179--206.
  
  [[20XDGSRP16[120X]    [16XDelgado,    M.,    Garc{\'{\i}}a-S{\'a}nchez,    P.    A.   and
  Robles-P{\'e}rez,   A.   M.[116X,  [17XNumerical  semigroups  with  a  given  set  of
  pseudo-Frobenius numbers[117X, [18XLMS J. Comput. Math.[118X, [19X19[119X (2016), 186--205.
  
  [[20XDMS11[120X]  [16XD'Anna, M., Micale, V. and Sammartano, A.[116X, [17XOn the associated graded
  ring of a semigroup ring[117X, [18XJ. Commut. Algebra[118X, [19X3[119X, 2 (2011), 147--168.
  
  [[20XDMS13[120X]  [16XD'Anna,  M.,  Micale,  V.  and  Sammartano, A.[116X, [17XWhen the associated
  graded  ring  of  a  semigroup  ring is complete intersection[117X, [18XJ. Pure Appl.
  Algebra[118X, [19X217[119X, 6 (2013), 1007--1017.
  
  [[20XDMS14[120X]  [16XD'Anna,  M.,  Micale,  V.  and  Sammartano, A.[116X, [17XClasses of complete
  intersection numerical semigroups[117X, [18XSemigroup Forum[118X, [19X88[119X, 2 (2014), 453--467.
  
  [[20XDMV09[120X]  [16XD'Anna,  M., Mezzasalma, M. and V., M.[116X, [17XOn the Buchsbaumness of the
  associated  graded  ring  of a one-dimensional local ring[117X, [18XComm. Algebra[118X, [19X37[119X
  (2009), 1594--1603.
  
  [[20XDS13[120X]  [16XD'Anna,  M.  and  Strazzanti,  F.[116X,  [17XThe  numerical  duplication of a
  numerical semigroup[117X, [18XSemigroup Forum[118X, [19X87[119X, 1 (2013), 149--160.
  
  [[20XEli01[120X]  [16XElias,  J.[116X,  [17XOn  the  deep  structure  of  the  blowing-up of curve
  singularities[117X, [18XMath. Proc. Camb. Phil. Soc.[118X, [19X131[119X (2001), 227--240.
  
  [[20XEli18[120X] [16XEliahou, S.[116X, [17XWilf's conjecture and Macaulay's theorem[117X, [18XJ. Eur. Math.
  Soc. (JEMS)[118X, [19X20[119X, 9 (2018), 2105--2129.
  
  [[20XES96[120X] [16XEisenbud, D. and Sturmfels, B.[116X, [17XBinomial ideals[117X, [18XDuke Math. J.[118X, [19X84[119X, 1
  (1996), 1--45.
  
  [[20XFGR87[120X]  [16XFr\"oberg,  R.,  Gottlieb,  C. and R., H.[116X, [17XOn numerical semigroups[117X,
  [18XSemigroup Forum[118X, [19X35[119X, 1 (1987), 63--83.
  
  [[20XGGMFVT15[120X]  [16XGarc\'{\i}a-Garc\'{\i}a,  J.  I.,  Moreno-Fr\'{\i}as,  M. A. and
  Vigneron-Tenorio,  A.[116X,  [17XComputation  of  Delta  sets  of  numerical monoids[117X,
  [18XMonatsh. Math. [118X, [19X178[119X (2015), 457--472.
  
  [[20XGHK06[120X]  [16XGeroldinger,  A.  and  Halter-Koch,  F.[116X, [17XNon-unique Factorizations:
  Algebraic, Combinatorial and Analytic Theory[117X, Chapman \& Hall/CRC (2006).
  
  [[20XGHS14[120X]  [16XGutsche,  S.,  Horn,  M. and S\"oger, C.[116X, [17XNormalizInterface for GAP[117X
  (2014), \url{https://github.com/fingolfin/NormalizInterface}.
  
  [[20XGSHKR17[120X]  [16XGarc{\'{\i}}a-S{\'a}nchez,  P. A., Heredia, B. A., Karakas, H. I.
  and  Rosales,  J.  C.[116X,  [17XParametrizing  Arf  numerical semigroups[117X, [18XJ. Algebra
  Appl.[118X, [19X16[119X (2017), 1750209 (31 pages).
  
  [[20XGSO10[120X]  [16XGarc\'{\i}a-S\'anchez,  P.  A.  and  Ojeda,  I.[116X, [17XUniquely presented
  finitely  generated  commutative  monoids[117X,  [18XPacific  J.  Math.[118X,  [19X249[119X (2010),
  91--105.
  
  [[20XGSOSRN13[120X]  [16XGarc{\'{\i}}a  S{\'a}nchez,  P. A., Ojeda, I. and S{\'a}nchez-R.
  -Navarro,  A.[116X, [17XFactorization invariants in half-factorial affine semigroups[117X,
  [18XInternat. J. Algebra Comput.[118X, [19X23[119X, 1 (2013), 111--122.
  
  [[20XGSOW17[120X]  [16XGarc\'{\i}a-S\'anchez,  P.  A.,  O'Neill,  C. and Webb, G.[116X, [17XOn the
  computation    of    factorization   invariants   for   affine   semigroups[117X,
  [18Xarxiv:1504.02998[118X (2017).
  
  [[20XGut[120X]     [16XGutsche,     S.[116X,     [17X4ti2Interface,     A     link     to    4ti2[117X,
  \url{http://www.gap-system.org/Packages/4ti2interface.html}.
  
  [[20XHer70[120X]  [16XHerzog,  J.[116X,  [17XGenerators  and  relations  of abelian semigroups and
  semigroup rings. [117X, [18XManuscripta Math.[118X, [19X3[119X (1970), 175--193.
  
  [[20XHS04[120X]  [16XHerzinger,  K. and Sanford, R.[116X, [17XMinimal Generating Sets for Relative
  Ideals  in  Numerical  Semigroups  of  Multiplicity Eight[117X, [18XCommunications in
  Algebra[118X, [19X32[119X, 12 (2004), 4713-4731.
  
  [[20XKP95[120X]  [16XKirfel,  C.  and  Pellikaan, R.[116X, [17XThe minimum distance of codes in an
  array  coming from telescopic semigroups[117X, [18XIEEE Trans. Inform. Theory[118X, [19X41[119X, 6,
  part 1 (1995), 1720--1732, ((Special issue on algebraic geometry codes)).
  
  [[20XKW14[120X]  [16XKunz,  E.  and  Waldi,  R.[116X,  [17XGeometrical  illustration  of numerical
  semigroups  and  of some of their invariants[117X, [18XSemigroup Forum[118X, [19X89[119X, 3 (2014),
  664--691.
  
  [[20XMCOT15[120X]  [16XM{\'a}rquez-Campos,  G.,  Ojeda,  I.  and  Tornero,  J. M.[116X, [17XOn the
  computation  of  the Ap\'ery set of numerical monoids and affine semigroups[117X,
  [18XSemigroup Forum[118X, [19X91[119X, 1 (2015), 139--158.
  
  [[20XMic02[120X]  [16XMicale,  V.[116X,  [17XOn monomial semigroups[117X, [18XCommunications in Algebra[118X, [19X30[119X
  (2002), 4687 - 4698.
  
  [[20XMK17[120X]  [16XMatsuoka,  N. and Kumashiro, S.[116X, [17XThe generalized Gorenstein property
  and  numerical  semigroup  rings  obtained  by  gluing[117X, [18XIMNS2010 - abstracts[118X
  (2017).
  
  [[20XMor14[120X]   [16XMoree,  P.[116X,  [17XNumerical  semigroups,  cyclotomic  polynomials,  and
  Bernoulli numbers[117X, [18XAmer. Math. Monthly[118X, [19X121[119X, 10 (2014), 890--902.
  
  [[20XPhi10[120X]  [16XPhilipp,  A.[116X,  [17XA characterization of arithmetical invariants by the
  monoid of relations[117X, [18XSemigroup Forum[118X, [19X81[119X (2010), 424--434.
  
  [[20XRAGGUB03[120X]  [16XRosales, J. C., A., G.-S. P., Garc\'{\i}a-Garc\'{\i}a, J. I. and
  Urbano-Blanco,  J.  M.[116X,  [17XProportionally modular Diophantine inequalities[117X, [18XJ.
  Number Theory[118X, [19X103[119X (2003), 281-294.
  
  [[20XRB03[120X]  [16XRosales,  J. C. and Branco, M. B.[116X, [17XIrreducible numerical semigroups[117X,
  [18XPacific J. Math.[118X, [19X209[119X, 1 (2003), 131--143.
  
  [[20XRGS98[120X]  [16XRosales,  J.  C.  and  Garc\'{\i}a-S\'anchez,  P.  A.[116X,  [17XNonnegative
  elements of subgroups of \(\mathbbZ^n\)[117X, [18XLinear Algebra and its Applications
  [118X, [19X270[119X, 1-3 (1998), 351- 357, (()).
  
  [[20XRGS99a[120X] [16XRosales, J. C. and Garc{\'{\i}}a-S{\'a}nchez, P. A.[116X, [17XOn free affine
  semigroups[117X, [18XSemigroup Forum[118X, [19X58[119X, 3 (1999), 367--385.
  
  [[20XRGS99b[120X] [16XRosales, J. C. and Garc\'{\i}a-S\'anchez, P. A.[116X, [17XFinitely generated
  commutative monoids[117X, Nova Science Publishers, New York (1999).
  
  [[20XRGS99c[120X]  [16XRosales,  J.  C.  and  Garc\'{\i}a-S\'{a}nchez,  P.  A.[116X,  [17XFinitely
  generated  commutative  monoids[117X,  Nova Science Publishers, Inc., Commack, NY
  (1999), xiv+185 pages.
  
  [[20XRGS04[120X]  [16XRosales,  J.  C.  and  Garc\'{\i}a-S\'anchez, P. A.[116X, [17XEvery positive
  integer  is  the Frobenius number of an irreducible numerical semigroup with
  at most four generators[117X, [18XArk. Mat.[118X, [19X42[119X (2004), 301-306.
  
  [[20XRGS09[120X]   [16XRosales,   J.  C.  and  Garc\'{\i}a-S\'anchez,  P.  A.[116X,  [17XNumerical
  Semigroups[117X, Springer (2009).
  
  [[20XRGS14[120X]  [16XRosales,  J.  C. and Garc{\'{\i}}a-S{\'a}nchez, P. A.[116X, [17XConstructing
  almost symmetric numerical semigroups from irreducible numerical semigroups[117X,
  [18XComm. Algebra[118X, [19X42[119X, 3 (2014), 1362--1367.
  
  [[20XRGSGGB03[120X]     [16XRosales,     J.    C.,    Garc\'{\i}a-S\'anchez,    P.    A.,
  Garc\'{\i}a-Garc\'{\i}a,  J. I. and Branco, M. B.[116X, [17XNumerical semigroups with
  maximal embedding dimension[117X, [18XJ. Algebra[118X, [19X2[119X (2003), 47--53.
  
  [[20XRGSGGB04[120X]     [16XRosales,     J.    C.,    Garc\'{\i}a-S\'anchez,    P.    A.,
  Garc\'{\i}a-Garc\'{\i}a,  J. I. and Branco, M. B.[116X, [17XArf numerical semigroups[117X,
  [18XJ. Algebra[118X, [19X276[119X (2004), 3--12.
  
  [[20XRGSGGJM03[120X]     [16XRosales,    J.    C.,    Garc\'{\i}a-S\'anchez,    P.    A.,
  Garc\'{\i}a-Garc\'{\i}a,   J.   I.   and   Jim\'enez-Madrid,   J.   A.[116X,  [17XThe
  oversemigroups  of  a  numerical  semigroup[117X,  [18XSemigroup  Forum[118X,  [19X67[119X  (2003),
  145-158.
  
  [[20XRGSGGJM04a[120X]    [16XRosales,    J.    C.,    Garc\'{\i}a-S\'anchez,    P.    A.,
  Garc\'{\i}a-Garc\'{\i}a, J. I. and Jim\'enez Madrid, J. A.[116X, [17XFundamental gaps
  in numerical semigroups[117X, [18XJ. Pure Appl. Algebra[118X, [19X189[119X, 1-3 (2004), 301--313.
  
  [[20XRGSGGJM04b[120X]    [16XRosales,    J.    C.,    Garc\'{\i}a-S\'{a}nchez,   P.   A.,
  Garc\'{\i}a-Garc\'{\i}a,  J.  I.  and Jim\'{e}nez Madrid, J. A.[116X, [17XFundamental
  gaps  in  numerical  semigroups[117X,  [18XJ.  Pure  Appl.  Algebra[118X, [19X189[119X, 1-3 (2004),
  301--313.
  
  [[20XRGSUB05[120X]  [16XRosales, J. C., Garc\'{\i}a-S\'{a}nchez, P. A. and Urbano-Blanco,
  J. M.[116X, [17XModular Diophantine inequalities and numerical semigroups[117X, [18XPacific J.
  Math.[118X, [19X218[119X, 2 (2005), 379--398.
  
  [[20XRos96a[120X] [16XRosales, J. C.[116X, [17XAn algorithmic method to compute a minimal relation
  for  any  numerical  semigroup[117X,  [18XInternat.  J.  Algebra  Comput.[118X,  [19X6[119X (1996),
  441-455.
  
  [[20XRos96b[120X]  [16XRosales,  J.  C.[116X,  [17XOn  numerical  semigroups[117X,  [18XSemigroup Forum[118X, [19X52[119X
  (1996), 307-318.
  
  [[20XRos07[120X]  [16XRosales,  J.  C.[116X,  [17XSubadditive  periodic  functions  and  numerical
  semigroups[117X, [18XJ. Algebra Appl.[118X, [19X6[119X, 2 (2007), 305--313.
  
  [[20XRou08[120X]  [16XRoune,  B.  H.[116X,  [17XSolving  thousand-digit  Frobenius  problems using
  Gr\"obner bases[117X, [18XJ. Symbolic Comput.[118X, [19X43[119X, 1 (2008), 1--7.
  
  [[20XRUB06[120X]  [16XRosales,  J.  C. and Urbano-Blanco, J. M.[116X, [17XOpened modular numerical
  semigroups[117X, [18XJ. Algebra[118X, [19X306[119X, 2 (2006), 368--377.
  
  [[20XRV08[120X]  [16XRosales,  J. C. and Vasco, P.[116X, [17XThe smallest positive integer that is
  solution  of a proportionally modular Diophantine inequality[117X, [18XMath. Inequal.
  Appl.[118X, [19X11[119X, 2 (2008), 203--212.
  
  [[20XSpi15[120X] [16XSpirito, D.[116X, [17XStar operations on numerical semigroups[117X, [18XComm. Algebra[118X,
  [19X43[119X, 7 (2015), 2943--2963.
  
  [[20XSto16[120X]  [16XStokes,  K.[116X,  [17XPatterns of ideals of numerical semigroups[117X, [18XSemigroup
  Forum[118X, [19X93[119X, 1 (2016), 180--200.
  
  [[20XSW86[120X]  [16XSz{\'e}kely,  L. A. and Wormald, N. C.[116X, [17XGenerating functions for the
  Frobenius  problem  with  2  and  3  generators[117X, [18XMath. Chronicle[118X, [19X15[119X (1986),
  49--57.
  
  [[20Xtt[120X]  [16X4ti2  team,  [116X,  [17X4ti2---A software package for algebraic, geometric and
  combinatorial problems on linear spaces[117X, {A}vailable at www.4ti2.de.
  
  [[20Xtt19[120X]  [16X{Maugeri},  N.  and  {Zito},  G.[116X,  [17XEmbedding  dimension  of  a  good
  semigroup[117X, [18XarXiv e-prints[118X (2019), arXiv:1903.02057.
  
  [[20Xttt19[120X]  [16X{Branco},  M.  B.,  {Ojeda},  I.  and  {Rosales}, J. C.[116X, [17XThe set of
  numerical  semigroups  of  a  given multiplicity and Frobenius number[117X, [18XarXiv
  e-prints[118X (2019), arXiv:1904.05551.
  
  [[20Xtttt17[120X]  [16X{Goto},  S.,  {Isobe},  R.,  {Kumashiro},  S. and {Taniguchi}, N.[116X,
  [17XCharacterization of generalized Gorenstein rings[117X, [18XArXiv e-prints[118X (2017).
  
  [[20XUgo16[120X]  [16XUgolini,  S.[116X,  [17XOn  numerical  semigroups closed with respect to the
  action of affine maps[117X, [18XarXiv[118X, [19X1505.06580[119X (2016).
  
  [[20XWil78[120X]  [16XWilf,  H. S.[116X, [17XA circle-of-lights algorithm for the ``money-changing
  problem''[117X, [18XAmer. Math. Monthly[118X, [19X85[119X, 7 (1978), 562--565.
  
  [[20XZar86[120X]  [16XZariski,  O.[116X,  [17XLe  probl\`eme  des modules pour les courbes planes[117X,
  Hermann (1986).
  
  
  
  [32X
