English

Componentwise linear ideals and exchange properties

Commutative Algebra 2024-06-03 v1

Abstract

We prove the componentwise linearity of ideals that satisfy a certain exchange property similar to polymatroidal ideals. We also discuss the componentwise linearity and exchange properties of ideals of kk-covers of totally balanced weighted hypergraphs.

Keywords

Cite

@article{arxiv.2405.20645,
  title  = {Componentwise linear ideals and exchange properties},
  author = {Ayesha Asloob Qureshi and Somayeh Bandari},
  journal= {arXiv preprint arXiv:2405.20645},
  year   = {2024}
}
R2 v1 2026-06-28T16:48:08.654Z