English

Resolutions of modules with initially linear syzygies

Commutative Algebra 2011-12-19 v2

Abstract

We introduce the class of modules with initially linear syzygies, which includes ideals with linear quotients, and study their minimal resolutions. Using a contracting homotopy for the resolutions, we see that the minimal resolution of a matroidal monomial ideal admits a DGA structure.

Keywords

Cite

@article{arxiv.1106.1913,
  title  = {Resolutions of modules with initially linear syzygies},
  author = {Emil Sköldberg},
  journal= {arXiv preprint arXiv:1106.1913},
  year   = {2011}
}

Comments

14 pages; typos fixed, reference added, some explanations improved

R2 v1 2026-06-21T18:20:14.752Z