English

Kruskal-Katona Theorem for t-spread strongly stable ideals

Commutative Algebra 2018-11-05 v1

Abstract

We prove that any t-spread strongly stable ideal has a unique t-spread lex ideal with the same f-vector. We also characterize the possible f-vectors of t-spread strongly stable ideals in the "t-spread" analogue of Kruskal-Katona theorem.

Keywords

Cite

@article{arxiv.1811.00798,
  title  = {Kruskal-Katona Theorem for t-spread strongly stable ideals},
  author = {Claudia Andrei-Ciobanu},
  journal= {arXiv preprint arXiv:1811.00798},
  year   = {2018}
}