A formula for the conductor of a semimodule of a numerical semigroup with two generators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866929677351780352 |
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| author | Almirón, Patricio Moyano-Fernández, Julio José |
| author_facet | Almirón, Patricio Moyano-Fernández, Julio José |
| contents | 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 $Δ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_10003 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A formula for the conductor of a semimodule of a numerical semigroup with two generators Almirón, Patricio Moyano-Fernández, Julio José Commutative Algebra 20M14(Primary), 05A19 (Secondary) 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 $Δ$. |
| title | A formula for the conductor of a semimodule of a numerical semigroup with two generators |
| topic | Commutative Algebra 20M14(Primary), 05A19 (Secondary) |
| url | https://arxiv.org/abs/2007.10003 |