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arXiv · 2007.10003

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

Patricio Almirón·Julio José Moyano-Fernández
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Abstract

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 difference between the conductor of the semimodule and the conductor of the semigroup is an element of $Γ$, as well as a formula for $c(Δ)$ in terms of the dual semimodule of $Δ$.

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Patricio Almirón, Julio José Moyano-Fernández. 2021-02-25. A formula for the conductor of a semimodule of a numerical semigroup with two generators. https://doi.org/10.1007/s00233-021-10182-1

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