A formula for the conductor of a semimodule of a numerical semigroup with two generators
We provide an expression for the conductor c(Δ) of a semimodule Δ of a numerical semigroup Δ 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 semig...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/7237 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/7237 |
| Access Level: | acceso abierto |
| Palabra clave: | 512 512.53 Numerical semigroup Frobenius problem Γ-semimodule Syzygy. Álgebra Grupos (Matemáticas) 1201 Álgebra |
| Sumario: | We provide an expression for the conductor c(Δ) of a semimodule Δ of a numerical semigroup Δ 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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