English

Auslander--Reiten conjecture for normal rings

Commutative Algebra 2023-04-11 v1

Abstract

In this paper, sufficient conditions for finitely generated modules over a commutative noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the main results of this paper asserts that the Auslander--Reiten conjecture holds true for every normal ring.

Keywords

Cite

@article{arxiv.2304.03956,
  title  = {Auslander--Reiten conjecture for normal rings},
  author = {Kaito Kimura},
  journal= {arXiv preprint arXiv:2304.03956},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-28T09:55:18.741Z