Now showing items 1-4 of 4

    • An algorithm to compute the primitive elements of an embedding dimension three numerical semigroups 

      Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2014)
      Article
      Open Access
      We give an algorithm to compute the set of primitive elements for an embedding dimension three numerical semigroups. We show how we use this procedure in the study of the construction of L-shapes and the tame degree of the ...
    • Denumerants of 3-numerical semigroups 

      Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2014)
      Article
      Open Access
      Denumerants of numerical semigroups are known to be difficult to obtain, even with small embedding dimension of the semigroups. In this work we give some results on denumerants of 3-semigroups S=<a,b,c>S=<a,b,c>. Closed ...
    • Factorization and catenary degree in 3-generated numerical semigroups 

      Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A. (2009-08-01)
      Article
      Restricted access - publisher's policy
      Given a numerical semigroup S(A), generated by A = {a,b,N} ⊂ N with 0 < a < b < N and gcd(a,b,N) = 1, we give a parameterization of the set F(m;A) = {(x, y, z) ∈ $N^3$ | xa + yb + zN = m} for any m ∈ S(A). We also give the ...
    • On the number of L-shapes in embedding dimension four numerical semigroups 

      Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2015-12-06)
      Article
      Open Access
      Minimum distance diagrams, also known as L-shapes, have been used to study some properties related to weighted Cayley digraphs of degree two and embedding dimension three numerical semigroups. In this particular case, it ...