Principal vector-spread Borel ideals
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915417454280704 |
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| author | Crupi, Marilena Ficarra, Antonino Lax, Ernesto |
| author_facet | Crupi, Marilena Ficarra, Antonino Lax, Ernesto |
| contents | We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially Cohen-Macaulay. As the final conclusion of our results, we completely classify the ideals in our class having the property that their ordinary and symbolic powers coincide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07022 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Principal vector-spread Borel ideals Crupi, Marilena Ficarra, Antonino Lax, Ernesto Commutative Algebra Combinatorics We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially Cohen-Macaulay. As the final conclusion of our results, we completely classify the ideals in our class having the property that their ordinary and symbolic powers coincide. |
| title | Principal vector-spread Borel ideals |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2507.07022 |