Kamberi, Elshani and Navarra, Francesco and Topaçoğlu, Ayesha Asloob (2026) On squarefree powers of simplicial trees. Journal of Algebra, 693 . pp. 240-276. ISSN 0021-8693 (Print) 1090-266X (Online)
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Official URL: https://dx.doi.org/10.1016/j.jalgebra.2026.01.008
Abstract
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 facet ideal 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Castelnuovo-Mumford regularity; Linear resolution; Linearly related; Simplicial forest; Squarefree power; t-path ideals |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 01 Apr 2026 16:03 |
| Last Modified: | 01 Apr 2026 16:03 |
| URI: | https://research.sabanciuniv.edu/id/eprint/53675 |
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