• closedAccess   A formula for the conductor of a semimodule of a numerical semigroup with two generators 

      Almirón, Patricio; Moyano-Fernández, Julio José Springer (2021-03-30)
      We provide an expression for the conductor c(Δ) of a semimodule Δ of a numerical semigroup Γ with two generators in terms of the syzygy module of Δ and the generators of the semigroup. In particular, we deduce that the ...
    • openAccess   Duality and syzygies for semimodules over numerical semigroups 

      Moyano-Fernández, Julio José; Uliczka, Jan Springer Verlag (2015-02)
      Let Γ=⟨α,β⟩ be a numerical semigroup. In this article we consider the dual Δ∗ of a Γ-semimodule Δ; in particular we deduce a formula that expresses the minimal set of generators of Δ∗ in terms of the generators of Δ. As ...