The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a survey of what the package does, and at the same time of the trending topics on numerical se... View more
 4ti2 team, 4ti2-a software package for algebraic, geometric and combinatorial problems on linear spaces, available at www.4ti2.de.
 F. Aguilo´-Gost, P. A. Garc´ıa-Sa´nchez, Factoring in embedding dimension three numerical semigroups, Electron. J. Comb. 17 (2010), #R138.
 A. Assi, P. A. Garc´ıa-Sa´nchez, Constructing the set of complete intersection numerical semigroups with a given Frobenius number, Applicable Algebra in Engineering, Communication and Computing 24, (2013), 133-148.
 A. Assi and P. A. Garc´ıa-Sa´nchez, On curves with one place at infinity, arXiv:1407.0490, 2014.
 A. Assi, P. A. Garc´ıa-Sa´nchez, and V. Micale. Bases of subalgebras of k~x and k[x], arXiv, 1412.4089, 2014.
 M. Barakat, S. Gutsche, S. Jambor, M. Lange-Hegermann, A. Lorenz, and O. Motsak. GradedModules, a homalg based package for the abelian category of finitely presented graded modules over computable graded rings, Version 2014.09.17. http://homalg.math.rwth-aachen.de/˜barakat/homalg-project/GradedModules, Sep 2014. GAP package.
 V. Barucci, D. D. Dobbs, M. Fontana, Maximality properties in numerical semigroups and applications to onedimensional analytically irreducible local domains, Memoirs of the American Mathematical Society 598, 1997.
 V. Barucci, R. Fro¨berg, Associated graded rings of one-dimensional analytically irreducible rings, J. Algebra 304 (2006), 349-358.
 T. Barron, C. O'Neill, R. Pelayo, On the computation of delta sets and ω-primality in numerical monoids, preprint, 2014.
 V. Blanco, P. A. Garc´ıa-Sa´nchez, A. Geroldinger, Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids, Illinois J. Math. 55 (2011), 1385-1414.