Valuation rings as limits of complete intersection rings
Abstract
We show that a valuation ring containing its residue field of characteristic $p>0$ is a filtered direct limit of complete intersection ${\bf F}_p$-algebras.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.11004
- arXiv:
- arXiv:2004.11004
- Bibcode:
- 2020arXiv200411004P
- Keywords:
-
- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry
- E-Print:
- We reorganized the paper and corrected some proofs