English

The vanishing of the first tight Hilbert coefficient for Buchsbaum rings

Commutative Algebra 2025-02-11 v2

Abstract

We prove that if the first tight Hilbert coefficient vanishes then ring is FF-rational provided it is a Buchsbaum local ring satisfying the (S2)(S_2) condition.

Keywords

Cite

@article{arxiv.2401.06756,
  title  = {The vanishing of the first tight Hilbert coefficient for Buchsbaum rings},
  author = {Duong Thi Huong and Nguyen Tuan Long and Pham Hung Quy},
  journal= {arXiv preprint arXiv:2401.06756},
  year   = {2025}
}

Comments

10 pages, To appear in Communication in Algebra