English

Valuation rings as limits of complete intersection rings

Commutative Algebra 2026-02-24 v13 Algebraic Geometry

Abstract

We show that a valuation ring containing its residue field of characteristic p>0p>0 is a filtered direct limit of complete intersection Fp{\bf F}_p-algebras.

Keywords

Cite

@article{arxiv.2004.11004,
  title  = {Valuation rings as limits of complete intersection rings},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:2004.11004},
  year   = {2026}
}

Comments

It will appear in Mathematische Nachrichten

R2 v1 2026-06-23T15:02:45.765Z