Unboundedness of irreducible decompositions of numerical semigroups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866911881130672128 |
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| author | Bogart, Tristram Fakhari, Seyed Amin Seyed |
| author_facet | Bogart, Tristram Fakhari, Seyed Amin Seyed |
| contents | We present two families of numerical semigroups and show that for each family, the number of required components in an irreducible decomposition cannot be bounded by any given integer. This gives a negative answer to a question raised by Delgado, García-Sánchez and Rosales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unboundedness of irreducible decompositions of numerical semigroups Bogart, Tristram Fakhari, Seyed Amin Seyed Commutative Algebra Number Theory 20M14, 06F05, 11D07 We present two families of numerical semigroups and show that for each family, the number of required components in an irreducible decomposition cannot be bounded by any given integer. This gives a negative answer to a question raised by Delgado, García-Sánchez and Rosales. |
| title | Unboundedness of irreducible decompositions of numerical semigroups |
| topic | Commutative Algebra Number Theory 20M14, 06F05, 11D07 |
| url | https://arxiv.org/abs/2405.11080 |