Herzog, Jürgen and Ene, Viviana and Asloob Qureshi, Ayesha (2019) T-spread strongly stable monomial ideals. (Accepted/In Press)
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Official URL: http://dx.doi.org/10.1080/00927872.2019.1617876
Abstract
We introduce the concept of $t$-spread monomials and $t$-spread strongly stable ideals. These concepts are a natural generalization of strongly stable and squarefree strongly stable ideals. For the study of this class of ideals we use the $t$-fold stretching operator. It is shown that $t$-spread strongly stable ideals are componentwise linear. Their height, their graded Betti numbers and their generic initial ideal are determined. We also consider the toric rings whose generators come from $t$-spread principal Borel ideals.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 28 Jul 2019 23:34 |
| Last Modified: | 26 Apr 2022 10:07 |
| URI: | https://research.sabanciuniv.edu/id/eprint/37716 |
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