arXiv (All)
open access
Valuations and henselization
We study the extension of valuations centered in a local domain to its henseliza-tion. We prove that a valuation $ν$ centered in a local domain R uniquely determines a minimal prime H($ν$) of the henselization R h of R and an extension of $ν$ centered in R h /H($ν$), which has the same value group a
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Valuations and henselization#1251403
- Equidistribution of small points over finitely generated fields#984618
- The linear positive torsor presentation and arithmetic purity of strong approximation#1357417
- Procounting measures and the Bateman--Horn conjecture#1131594
- Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice#200406
Record · ID 1248200
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive