t-spread strongly stable monomial ideals
Commutative Algebra
2018-06-05 v2 Combinatorics
Abstract
We introduce the concept of -spread monomials and -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 -fold stretching operator. It is shown that -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 -spread principal Borel ideals.
Cite
@article{arxiv.1805.02368,
title = {t-spread strongly stable monomial ideals},
author = {Viviana Ene and Jürgen Herzog and Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:1805.02368},
year = {2018}
}