An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916736654114816 |
|---|---|
| author | D'Anna, Marco Moscariello, Alessio |
| author_facet | D'Anna, Marco Moscariello, Alessio |
| contents | In this work we provide an upper bound for the multiplicity of a one-dimensional Cohen-Macaulay ring (under certain conditions), describe the rings attaining the equality for this bound, and outline a connection with Wilf's conjecture for numerical semigroup rings. Then we prove the analogue of Wilf's conjecture for almost Gorenstein rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17989 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings D'Anna, Marco Moscariello, Alessio Commutative Algebra 13H10, 13H15, 20M14 In this work we provide an upper bound for the multiplicity of a one-dimensional Cohen-Macaulay ring (under certain conditions), describe the rings attaining the equality for this bound, and outline a connection with Wilf's conjecture for numerical semigroup rings. Then we prove the analogue of Wilf's conjecture for almost Gorenstein rings. |
| title | An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings |
| topic | Commutative Algebra 13H10, 13H15, 20M14 |
| url | https://arxiv.org/abs/2502.17989 |