English

Classification of Cohen-Macaulay $t$-spread lexsegment ideals via simplicial complexes

Commutative Algebra 2022-08-04 v1

Abstract

We study the minimal primary decomposition of completely tt-spread lexsegment ideals via simplicial complexes. We determine some algebraic invariants of such a class of tt-spread ideals. Hence, we classify all tt-spread lexsegment ideals which are Cohen-Macaulay.

Keywords

Cite

@article{arxiv.2208.02175,
  title  = {Classification of Cohen-Macaulay $t$-spread lexsegment ideals via simplicial complexes},
  author = {Marilena Crupi and Antonino Ficarra},
  journal= {arXiv preprint arXiv:2208.02175},
  year   = {2022}
}

Comments

To appear in Illinois Journal of Mathematics

R2 v1 2026-06-25T01:27:12.915Z