English

Algebraic valuation ring extensions as limits of complete intersection algebras

Commutative Algebra 2026-05-12 v2 Algebraic Geometry

Abstract

We show that an algebraic immediate valuation ring extension of characteristic p>0p>0 is a filtered union of complete intersection algebras of finite type.

Keywords

Cite

@article{arxiv.2305.00178,
  title  = {Algebraic valuation ring extensions as limits of complete intersection algebras},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:2305.00178},
  year   = {2026}
}

Comments

The proof of Lemma 7 is corrected

R2 v1 2026-06-28T10:21:24.589Z