García Sánchez, P. A.; Ojeda, I.; Rosales, J. C. Affine semigroups having a unique Betti element. (English) Zbl 1281.20075 J. Algebra Appl. 12, No. 3, Paper No. 1250177, 11 p. (2013). Reviewer: Ilia Pirashvili (Leicester) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{P. A. García Sánchez} et al., J. Algebra Appl. 12, No. 3, Paper No. 1250177, 11 p. (2013; Zbl 1281.20075) Full Text: DOI arXiv
Robles-Pérez, Aureliano M.; Rosales, José Carlos The Frobenius problem for numerical semigroups with embedding dimension equal to three. (English) Zbl 1277.11025 Math. Comput. 81, No. 279, 1609-1617 (2012). MSC: 11D07 20M14 PDFBibTeX XMLCite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Math. Comput. 81, No. 279, 1609--1617 (2012; Zbl 1277.11025) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A.; Urbano-Blanco, J. M. The set of solutions of a proportionally modular Diophantine inequality. (English) Zbl 1185.11023 J. Number Theory 128, No. 3, 453-467 (2008). MSC: 11D75 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales} et al., J. Number Theory 128, No. 3, 453--467 (2008; Zbl 1185.11023) Full Text: DOI
Rosales, J. C. Symmetric modular Diophantine inequalities. (English) Zbl 1111.20051 Proc. Am. Math. Soc. 134, No. 12, 3417-3421 (2006). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 11D75 20M05 11B50 PDFBibTeX XMLCite \textit{J. C. Rosales}, Proc. Am. Math. Soc. 134, No. 12, 3417--3421 (2006; Zbl 1111.20051) Full Text: DOI
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. (English) Zbl 1106.20046 Discrete Appl. Math. 154, No. 14, 1947-1959 (2006). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 20M05 68W30 11Y50 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., Discrete Appl. Math. 154, No. 14, 1947--1959 (2006; Zbl 1106.20046) Full Text: DOI Link
Rosales, J. C.; García-Sánchez, P. A.; García-García, J. I.; Branco, M. B. Numerical semigroups with a monotonic Apéry set. (English) Zbl 1081.20071 Czech. Math. J. 55, No. 3, 755-772 (2005). MSC: 20M14 20M05 11D75 PDFBibTeX XMLCite \textit{J. C. Rosales} et al., Czech. Math. J. 55, No. 3, 755--772 (2005; Zbl 1081.20071) Full Text: DOI EuDML
Rosales, J. C.; García-Sánchez, P. A. Pseudo-symmetric numerical semigroups with three generators. (English) Zbl 1088.20034 J. Algebra 291, No. 1, 46-54 (2005). Reviewer: Tero J. Harju (Turku) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, J. Algebra 291, No. 1, 46--54 (2005; Zbl 1088.20034) Full Text: DOI
Rosales, J. C.; Branco, M. B. Irreducible numerical semigroups with arbitrary multiplicity and embedding dimension. (English) Zbl 1028.20039 J. Algebra 264, No. 2, 305-315 (2003). Reviewer: Carlos Galindo (Castellon) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{M. B. Branco}, J. Algebra 264, No. 2, 305--315 (2003; Zbl 1028.20039) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A.; García-García, J. I. Presentations of finitely generated submonoids of finitely generated commutative monoids. (English) Zbl 1010.20049 Int. J. Algebra Comput. 12, No. 5, 659-670 (2002). MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} et al., Int. J. Algebra Comput. 12, No. 5, 659--670 (2002; Zbl 1010.20049) Full Text: DOI
Rosales, J. C.; García-García, J. I. Principal ideals of finitely generated commutative monoids. (English) Zbl 1003.20052 Czech. Math. J. 52, No. 1, 75-85 (2002). MSC: 20M14 20M12 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{J. I. García-García}, Czech. Math. J. 52, No. 1, 75--85 (2002; Zbl 1003.20052) Full Text: DOI EuDML
Rosales, J. C.; Branco, M. B. Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups. (English) Zbl 1006.20043 J. Pure Appl. Algebra 171, No. 2-3, 303-314 (2002). Reviewer: David F.Anderson (Knoxville) MSC: 20M05 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{M. B. Branco}, J. Pure Appl. Algebra 171, No. 2--3, 303--314 (2002; Zbl 1006.20043) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A. Minimal presentations of full subsemigroups of \(\mathbb{N}^2\). (English) Zbl 1032.20038 Rocky Mt. J. Math. 31, No. 4, 1417-1422 (2001). MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Rocky Mt. J. Math. 31, No. 4, 1417--1422 (2001; Zbl 1032.20038) Full Text: DOI Link
Rosales, J. C. Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension. (English) Zbl 0972.20036 Proc. Am. Math. Soc. 129, No. 8, 2197-2203 (2001). Reviewer: David F.Anderson (Knoxville) MSC: 20M14 20M05 20M30 13H10 PDFBibTeX XMLCite \textit{J. C. Rosales}, Proc. Am. Math. Soc. 129, No. 8, 2197--2203 (2001; Zbl 0972.20036) Full Text: DOI
Rosales, J. C. Numerical semigroups with Apéry sets of unique expression. (English) Zbl 0955.20039 J. Algebra 226, No. 1, 479-487 (2000). Reviewer: Carlos Galindo (Castellon) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales}, J. Algebra 226, No. 1, 479--487 (2000; Zbl 0955.20039) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A.; Urbano-Blanco, J. M. On presentations of commutative monoids. (English) Zbl 1028.20037 Int. J. Algebra Comput. 9, No. 5, 539-553 (1999). MSC: 20M05 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales} et al., Int. J. Algebra Comput. 9, No. 5, 539--553 (1999; Zbl 1028.20037) Full Text: DOI
Rosales, J. C.; García-García, J. I. Hereditarily finitely generated commutative monoids. (English) Zbl 0951.20046 J. Algebra 221, No. 2, 723-732 (1999). Reviewer: David F.Anderson (Knoxville) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{J. I. García-García}, J. Algebra 221, No. 2, 723--732 (1999; Zbl 0951.20046) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A. Presentations for subsemigroups of finitely generated commutative semigroups. (English) Zbl 0943.20061 Isr. J. Math. 113, 269-283 (1999). Reviewer: C.Galindo (Castellon) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Isr. J. Math. 113, 269--283 (1999; Zbl 0943.20061) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A. On normal affine semigroups. (English) Zbl 0943.20062 Linear Algebra Appl. 286, No. 1-3, 175-186 (1999). Reviewer: David F.Anderson (Knoxville) MSC: 20M14 20M05 20M25 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Linear Algebra Appl. 286, No. 1--3, 175--186 (1999; Zbl 0943.20062) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A. On free affine semigroups. (English) Zbl 0934.20041 Semigroup Forum 58, No. 3, 367-385 (1999). Reviewer: David F.Anderson (Knoxville) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Semigroup Forum 58, No. 3, 367--385 (1999; Zbl 0934.20041) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A.; Urbano-Blanco, J. M. On Cohen-Macaulay subsemigroups of \(\mathbb{N}^2\). (English) Zbl 0910.20042 Commun. Algebra 26, No. 8, 2543-2558 (1998). Reviewer: J.Ponizovskij (St.Peterburg) MSC: 20M14 20M25 20M05 13H10 14M05 PDFBibTeX XMLCite \textit{J. C. Rosales} et al., Commun. Algebra 26, No. 8, 2543--2558 (1998; Zbl 0910.20042) Full Text: DOI
Rosales, J. C.; García-Sánchez, P. A. On numerical semigroups with high embedding dimension. (English) Zbl 0906.20042 J. Algebra 203, No. 2, 567-578 (1998). Reviewer: D.F.Anderson (Knoxville) MSC: 20M14 20M05 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, J. Algebra 203, No. 2, 567--578 (1998; Zbl 0906.20042) Full Text: DOI Link
Rosales, J. C.; García-Sánchez, Pedro A. Nonnegative elements of subgroups of \(\mathbb{Z}^ n\). (English) Zbl 0890.15016 Linear Algebra Appl. 270, 351-357 (1998). Reviewer: Chen Zhijie (Shanghai) MSC: 15B36 15A06 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Linear Algebra Appl. 270, 351--357 (1998; Zbl 0890.15016) Full Text: DOI
Rosales, J. C. On numerical semigroups. (English) Zbl 0853.20041 Semigroup Forum 52, No. 3, 307-318 (1996). Reviewer: D.F.Anderson (Knoxville) MSC: 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales}, Semigroup Forum 52, No. 3, 307--318 (1996; Zbl 0853.20041) Full Text: DOI EuDML
Rosales, J. C.; Urbano-Blanco, J. M. A deterministic algorithm to decide if a finitely presented Abelian monoid is cancellative. (English) Zbl 0940.20058 Commun. Algebra 24, No. 13, 4217-4224 (1996). Reviewer: Leonid Matveevich Martynov (Omsk) MSC: 20M05 20M14 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{J. M. Urbano-Blanco}, Commun. Algebra 24, No. 13, 4217--4224 (1996; Zbl 0940.20058) Full Text: DOI
Rosales, J. C.; García-Sánchez, Pedro A. On complete intersection affine semigroups. (English) Zbl 0859.13008 Commun. Algebra 23, No. 14, 5395-5412 (1995). Reviewer: A.Ooishi (Yokohama) MSC: 13C40 20M14 14M10 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{P. A. García-Sánchez}, Commun. Algebra 23, No. 14, 5395--5412 (1995; Zbl 0859.13008) Full Text: DOI
Rosales, J. C. Function minimum associated to a congruence on integral \(n\)-tuple space. (English) Zbl 0831.20081 Semigroup Forum 51, No. 1, 87-95 (1995). Reviewer: W.Narkiewicz (Wrocław) MSC: 20M14 08A30 11B50 20M12 06A05 PDFBibTeX XMLCite \textit{J. C. Rosales}, Semigroup Forum 51, No. 1, 87--95 (1995; Zbl 0831.20081) Full Text: DOI EuDML
Rosales, J. C. On finitely generated submonoids of \(\mathbb{N}^ k\). (English) Zbl 0831.20080 Semigroup Forum 50, No. 2, 251-262 (1995). Reviewer: W.Narkiewicz (Wrocław) MSC: 20M14 20M05 11D04 PDFBibTeX XMLCite \textit{J. C. Rosales}, Semigroup Forum 50, No. 2, 251--262 (1995; Zbl 0831.20080) Full Text: DOI EuDML