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MR2395197Delgado, M.; García-Sánchez, P.
A.; Rosales, J. C.; Urbano-Blanco, J. M. Systems of
proportionally modular Diophantine inequalities. Semigroup Forum 76 (2008), no. 3, 469--488.
MR2389850 Rosales, J. C.;
García-Sánchez, P. A.; Urbano-Blanco, J. M. The set of solutions of a
proportionally modular Diophantine inequality. J. Number Theory 128
(2008), no. 3, 453--467.
MR2358486 Rosales, J. C.;
García-Sánchez, P. A. Every numerical semigroup is one half of a
symmetric
numerical semigroup. Proc. Amer. Math. Soc. 136 (2008), no. 2, 475--477.
MR2384746 Rosales, J. C.;
García-Sánchez, P. A. Numerical semigroups having a Toms decomposition.
Canad. Math. Bull. 51 (2008), no. 1, 134--139.
MR2387740 Rosales, J. C.;
García-Sánchez, P. A.; García-García, J. I.; Branco, M. B. Numerical
semigroups with maximal embedding dimension [ MR2056070]. Focus on
commutative rings research,
47--53, Nova Sci. Publ., New York, 2006.
MR2254337 Chapman, S. T. ;
García-Sánchez, P. A. ; Llena, D. ; Rosales, J. C. Presentations of
finitely
generated cancellative commutative monoids and nonnegative solutions of
systems of linear equations. Discrete
Appl. Math. 154 (2006), no. 14, 1947--1959.
MR2243561 (Review) Chapman, S. T.
; García-Sánchez, P. A. ; Llena, D. ; Ponomarenko, V. ; Rosales, J. C.
The catenary and tame degree in finitely generated commutative
cancellative monoids. Manuscripta Math. 120
(2006), no. 3, 253--264.
MR2214415 (2007b:20129)
Bras-Amorós, Maria ; García-Sánchez, Pedro A. Patterns on numerical
semigroups.
Linear Algebra Appl. 414 (2006), no. 2-3, 652--669.
MR2246255 Rosales, J. C. ;
García-Sánchez, P. A. ; Urbano-Blanco, J. M. Correction to: "Modular
Diophantine inequalities and numerical semigroups" [Pacific J. Math.
218 (2005), no. 2, 379--398;
MR2218353]. Pacific J. Math. 220 (2005), no. 1, 199.
MR2218353 (2007a:20056) Rosales,
J. C. ; García-Sánchez, P. A. ; Urbano-Blanco, J. M. Modular
Diophantine
inequalities and numerical semigroups. Pacific J. Math. 218 (2005), no.
2, 379--398.
MR2158509 (2006e:20104) Rosales,
J. C. ; García-Sánchez, P. A. Pseudo-symmetric numerical semigroups
with
three generators. J. Algebra 291 (2005), no. 1, 46--54.
MR2153099 (2006d:20106) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Branco, M. B.
Numerical semigroups with a monotonic Apéry set. Czechoslovak Math. J.
55(130) (2005), no. 3, 755--772.
MR2140699 (2006a:20109) Rosales,
J. C. ; García-Sánchez, Pedro A. ; García-García, Juan I.
$k$-factorized
elements in telescopic numerical semigroups. Arithmetical properties of
commutative rings and monoids,
260--271, Lect. Notes Pure Appl. Math., 241, Chapman & Hall/CRC,
Boca Raton, FL, 2005.
García-Sánchez, P. A. Commutative
Semigroups by P. A. Grillet Kluwer Academic Publishers, Dordrecht,
2001.
xiv+436 pp. ISBN: 0-7923-7067-8. Semigroup Forum 69 (2004), 155-158.
MR2105325 (2005i:20093) Rosales,
J. C. ; García-Sánchez, P. A. Numerical semigroups with embedding
dimension three. Arch. Math. (Basel) 83 (2004), no. 6, 488--496.
MR2101389 (2005h:20139)
García-Sánchez, Pedro A. ; Rosales, José C. Every positive integer is
the
Frobenius number of an irreducible numerical semigroup with at most
four generators. Ark. Mat. 42 (2004),
no. 2, 301--306.
MR2096056 (2005j:20077) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Jiménez Madrid,
J. A. Fundamental gaps in numerical semigroups with respect to their
multiplicity. Acta Math. Sin. (Engl.
Ser.) 20 (2004), no. 4, 629--646.
MR2084905 (2005e:20090) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Branco, M. B.
Saturated numerical semigroups. Houston J. Math. 30 (2004), no. 2,
321--330 (electronic).
MR2054385 (2005b:20119) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Branco, M. B.
Arf numerical semigroups. J. Algebra 276 (2004), no. 1, 3--12.
MR2038577 (2004j:20116) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Jiménez Madrid,
J. A. Fundamental gaps in numerical semigroups. J. Pure Appl. Algebra
189 (2004), no. 1-3, 301--313.
MR2032333 (2004j:20117) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. Every positive
integer is the Frobenius number of a numerical semigroup with three
generators. Math. Scand. 94 (2004),
no. 1, 5--12.
MR2027609 (2004m:20114) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. Atomic commutative
monoids and their elasticity. Semigroup Forum 68 (2004), no. 1, 64--86.
MR2056070 Rosales, J. C. ;
García-Sánchez, P. A. ; García-García, J. I. ; Branco, M. B. Numerical
semigroups with maximal embedding dimension. Int. J. Commut. Rings 2
(2003), no. 1, 47--53.
MR2020273 (2004k:20127) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Urbano-Blanco,
J.
M. Proportionally modular Diophantine inequalities. J. Number Theory
103 (2003), no. 2, 281--294.
MR1978528 (2004b:20092) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Jiménez Madrid,
J. A. The oversemigroups of a numerical semigroup. Semigroup Forum 67
(2003), no. 1, 145--158.
MR1953505 (2003i:20106) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. Ideals of finitely
generated commutative monoids. Semigroup Forum 66 (2003), no. 2,
305--322.
MR1942633 (2003i:11141) Chapman,
S. T. ; García-García, J. I. ; García-Sánchez, P. A. ; Rosales, J. C.
On the number of factorizations of an element in an atomic monoid. Adv.
in Appl. Math. 29 (2002), no. 3,
438--453.
MR1935569 (2004b:20090) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. Presentations of
finitely generated submonoids of finitely generated commutative
monoids. Internat. J. Algebra Comput. 12
(2002), no. 5, 659--670.
MR1895736 (2003b:20088) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. ; Branco, M. B.
Systems of inequalities and numerical semigroups. J. London Math. Soc.
(2) 65 (2002), no. 3, 611--623.
MR1887768 (2003c:13015)
García-Sánchez, P. A. ; Rosales, J. C. On Buchsbaum simplicial affine
semigroups.
Pacific J. Math. 202 (2002), no. 2, 329--339.
MR1895621 (2003b:20087) Rosales,
J. C. ; García-Sánchez, P. A. Minimal presentations of full
subsemigroups
of $\bold N\sp 2$. Rocky Mountain J. Math. 31 (2001), no. 4,
1417--1422.
MR1855399 (2002j:20107) Chapman,
S. T. ; García-García, J. I. ; García-Sánchez, P. A. ; Rosales, J. C.
Computing the elasticity of a Krull monoid. Linear Algebra Appl. 336
(2001), 191--200.
MR1831513 Rosales, J. C. ;
García-Sánchez, P. A. ; García-García, J. I. Commutative ideal
extensions of
abelian groups. Semigroup Forum 62 (2001), no. 2, 311--316.
MR1822195 (2002a:20071) Rosales,
J. C. ; García-Sánchez, P. A. ; García-García, J. I. Irreducible ideals
of finitely generated commutative monoids. J. Algebra 238 (2001), no.
1, 328--344.
R. L. Torres-Roldán, A.
García-Casco y P. A. García-Sánchez, CSpace: An integrated workplace
for the
graphical and algebraic analysis of phase assemblages on 32-bit Wintel
platform,. Computers and Geosciences,
26 (2000), 779-793.
MR1805131 Rosales, José Carlos ;
García-Sánchez, Pedro A. ; García-García, Juan Ignacio . How to check
if
a finitely generated commutative monoid is a principal ideal
commutative monoid. Proceedings of the 2000
International Symposium on Symbolic and Algebraic Computation (St.
Andrews), 288--291 (electronic), ACM, New
York, 2000.
MR1800090 (2001j:20101) Rosales,
J. C. ; García-Sánchez, P. A. On the structure of simplicial affine
semigroups. Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), no. 5,
1017--1028.
MR1769997 (2001c:20130) Rosales,
J. C. ; García-Sánchez, P. A. Reduced commutative monoids with two
Archimedean components. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.
(8) 3 (2000), no. 2, 471--484
MR1762770 (2001e:20057) Rosales,
J. C. ; García-Sánchez, P. A. On full affine semigroups. J. Pure Appl.
Algebra 149 (2000), no. 3, 295--303.
MR1729450 (2000h:20103) Rosales,
J. C. ; García-Sánchez, P. A. Presentations for subsemigroups of
finitely
generated commutative semigroups. Israel J. Math. 113 (1999), 269--283.
MR1719711 (2000h:20102) Rosales,
J. C. ; García-Sánchez, P. A. ; Urbano-Blanco, J. M. On presentations
of
commutative monoids. Internat. J. Algebra Comput. 9 (1999), no. 5,
539--553.
MR1725463 (2000i:20095)
García-Sánchez, P. A. ; Rosales, J. C. Numerical semigroups generated
by
intervals. Pacific J. Math. 191 (1999), no. 1, 75--83.
MR1678508 (2000j:13020) Rosales,
J. C. ; García-Sánchez, P. A. On free affine semigroups. Semigroup
Forum
58 (1999), no. 3, 367--385.
MR1671926 (2000a:20131) Rosales,
J. C. ; García-Sánchez, P. A. On the structure of Cohen-Macaulay
simplicial affine semigroups. Comm. Algebra 27 (1999), no. 2, 511--518.
MR1661222 (99m:20144) Rosales, J.
C. ; García-Sánchez, P. A. On normal affine semigroups. Linear Algebra
Appl. 286 (1999), no. 1-3, 175--186.
MR1697587 (2000e:20107) Rosales,
J. C. ; García-Sánchez, Pedro A. On Cohen-Macaulay and Gorenstein
simplicial affine semigroups. Proc. Edinburgh Math. Soc. (2) 41 (1998),
no. 3, 517--537.
MR1627892 (99g:13032) Rosales, J.
C. ; García-Sánchez, P. A. ; Urbano-Blanco, J. M. On Cohen-Macaulay
subsemigroups of $\bold N\sp 2$. Comm. Algebra 26 (1998), no. 8,
2543--2558.
MR1622807 (99g:20108) Rosales, J.
C. ; García-Sánchez, P. A. On numerical semigroups with high embedding
dimension. J. Algebra 203 (1998), no. 2, 567--578.
MR1484089 (99c:11027) Rosales, J.
C. ; García-Sánchez, Pedro A. Nonnegative elements of subgroups of
$Z\sp
n$. Linear Algebra Appl. 270 (1998), 351--357.
MR1363611 (96m:14068) Rosales, J.
C. ; García-Sánchez, Pedro A. On complete intersection affine
semigroups. Comm. Algebra 23 (1995), no. 14, 5395--5412.
García Sánchez, P. A.
Gröbner and Involutive bases for zero-dimensional ideals, ACM SIGSAM
Bulletin 29(2)
(1995), 12-15.
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