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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 $c(\Delta)$ of a semimodule $\Delta$ of a numerical semigroup $\Gamma$ with two generators in terms of the syzygy module of $\Delta$ 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 $\Gamma$, as well as a formula for $c(\Delta)$ in terms of the dual semimodule of $\Delta$.

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Patricio Almirón, Julio José Moyano-Fernández. 2020-07-20. 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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