An Algorithmic Method to Compute a Minimal Relation for any numerical Semigroup. - José Carlos Rosales (Int. J. Algebra Comput., 1996)

On Linear Equations in Natural Numbers. - José Carlos Rosales (Int. J. Algebra Comput., 1997)

Commutative ideal extensions of abelian groups. - Juan Ignacio García-García; Pedro A. García-Sánchez; José Carlos Rosales (SIGSAM Bull., 1999)

On Presentations of Commutative Monoids. - José Carlos Rosales; Pedro A. García-Sánchez; J. M. Urbano-Blanco (Int. J. Algebra Comput., 1999)

How to check if a finitely generated commutative monoid is a principal ideal commutative monoid. - José Carlos Rosales; Pedro A. García-Sánchez; Juan Ignacio García-García (ISSAC, 2000)

On the number of factorizations of an element in an atomic monoid. - Scott T. Chapman; Juan Ignacio García-García; Pedro A. García-Sánchez; José Carlos Rosales (Adv. Appl. Math., 2002)

Presentations of Finitely Generated Submonoids of Finitely Generated Commutative Monoids. - José Carlos Rosales; Pedro A. García-Sánchez; Juan Ignacio García-García (Int. J. Algebra Comput., 2002)

Presentations of finitely generated cancellative commutative monoids and nonnegative solutions of systems of linear equations. - Scott T. Chapman; Pedro A. García-Sánchez; David Llena; José Carlos Rosales (Discret. Appl. Math., 2006)

Opened Modular Numerical Semigroups with a Given Multiplicity. - José Carlos Rosales; Paolo Vasco (Int. J. Algebra Comput., 2009)

Proportionally modular diophantine inequalities and the Stern-Brocot tree. - M. Bullejos; José Carlos Rosales (Math. Comput., 2009)

Irreducibility in the Set of Numerical Semigroups with Fixed Multiplicity. - Víctor Blanco; José Carlos Rosales (Int. J. Algebra Comput., 2011)

On the enumeration of the set of numerical semigroups with fixed Frobenius number. - Víctor Blanco; José Carlos Rosales (Comput. Math. Appl., 2012)

The Frobenius problem for numerical semigroups with embedding dimension equal to three. - Aureliano M. Robles-Pérez; José Carlos Rosales (Math. Comput., 2012)

On the enumeration of the set of saturated numerical semigroups with fixed Frobenius number. - José Carlos Rosales; Manuel B. Branco; D. Torrão (Appl. Math. Comput., 2014)

The numerical semigroup of the integers which are bounded by a submonoid of N2. - Aureliano M. Robles-Pérez; José Carlos Rosales (Electron. Notes Discret. Math., 2014)

Bracelet monoids and numerical semigroups. - José Carlos Rosales; Manuel B. Branco; D. Torrão (Appl. Algebra Eng. Commun. Comput., 2016)

Numerical semigroups in a problem about economic incentives for consumers. - Aureliano M. Robles-Pérez; José Carlos Rosales (CoRR, 2016)

A combinatorial problem and numerical semigroups. - Aureliano M. Robles-Pérez; José Carlos Rosales (Ars Math. Contemp., 2018)

Semigroups with fixed multiplicity and embedding dimension. - Juan Ignacio García-García; Daniel Mari'n-Aragón; María Angeles Moreno-Frías; José Carlos Rosales; Alberto Vigneron-Tenorio (Ars Math. Contemp., 2019)

Numerical semigroups closed under addition of their divisors. - José C. Rosales 001; Manuel B. Branco (Appl. Algebra Eng. Commun. Comput., 2021)

Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two. - María Angeles Moreno-Frías; José Carlos Rosales (Symmetry, 2021)

Numerical semigroups without consecutive small elements. - José C. Rosales 001; Manuel B. Branco; Márcio A. Traesel (Int. J. Algebra Comput., 2023)

A Frobenius problem suggested by prime k-tuplets. - Aureliano M. Robles-Pérez; José Carlos Rosales (Discret. Math., 2023)

Ratio-Covarieties of Numerical Semigroups. - María Angeles Moreno-Frías; José Carlos Rosales (Axioms, 2024)

Frobenius pseudo-variety of numerical semigroups with a given multiplicity and ratio. - María Angeles Moreno-Frías; José C. Rosales 001 (Appl. Algebra Eng. Commun. Comput., 2025)