Bibliographic Details
| Title: |
On squarefree powers of simplicial trees |
| Authors: |
Kamberi, Elshani, Navarra, Francesco, Qureshi, Ayesha Asloob |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Commutative Algebra |
| More Details: |
In this article, we study the squarefree powers of facet ideals associated with simplicial trees. Specifically, we examine the linearity of their minimal free resolution and their regularity. Additionally, we investigate when the first syzygy module of squarefree powers of a simplicial tree is generated by linear relations. Finally, we provide a combinatorial formula for the regularity of the squarefree powers of $t$-path ideals of path graphs.
Comment: Any comments are welcome |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2406.13670 |
| Accession Number: |
edsarx.2406.13670 |
| Database: |
arXiv |
