English

A counterexample to the Hermite ring conjecture

Commutative Algebra 2023-11-08 v1 K-Theory and Homology

Abstract

We show that there exists a stably free module over a polynomial ring which is not extended from the ground ring. This provides a counterexample to the Hermite ring conjecture.

Keywords

Cite

@article{arxiv.2311.04104,
  title  = {A counterexample to the Hermite ring conjecture},
  author = {Daniel Schäppi},
  journal= {arXiv preprint arXiv:2311.04104},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T13:14:12.615Z