English

Powers of $t$-spread principal Borel ideals

Commutative Algebra 2018-06-21 v1 Combinatorics

Abstract

We prove that tt-spread principal Borel ideals are sequentially Cohen-Macaulay and study their powers. We show that these ideals possess the strong persistence property and compute their limit depth.

Keywords

Cite

@article{arxiv.1806.07828,
  title  = {Powers of $t$-spread principal Borel ideals},
  author = {Claudia Andrei and Viviana Ene and Bahareh Lajmiri},
  journal= {arXiv preprint arXiv:1806.07828},
  year   = {2018}
}