English

Componentwise linear syzygies and good almost regular sequences

Commutative Algebra 2025-03-31 v1

Abstract

In this paper, we introduce the notion of γ\gamma-regular sequences to characterize the property that graded modules have componentwise linear syzygies. This extends Harima and Watanabe's characterization of componentwise linear ideals in terms of m\mathfrak{m}-full property.

Keywords

Cite

@article{arxiv.2503.22261,
  title  = {Componentwise linear syzygies and good almost regular sequences},
  author = {Satoru Isogawa},
  journal= {arXiv preprint arXiv:2503.22261},
  year   = {2025}
}
R2 v1 2026-06-28T22:37:48.561Z