Conductor coefficients and strong transcendence: selected Stacks proofs. Open Mathematics Courses, 2026.
Mathematical authorship: the Stacks Project Authors, Johan de Jong and contributors. Source title: Commutative Algebra, in the Stacks Project, as supplied by the AI Integrated Stacks Project, commit 565b10e987aba5969b21145a0833f42d69f96790. The source section credits the treatments cited there as Henselian and Peskine and notes by Thierry Coquand.
Exact source edition · Stacks Project contributors.
Copyright (C) 2005 -- 2025 Johan de Jong Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".
Complete GNU Free Documentation License, version 1.2.
Source edition: the AI Integrated Stacks Project commit identified above; the original Stacks authorship and source references are retained. This selection was prepared on 3 October 2026 for Open Mathematics Courses by OpenAI Codex (GPT-6 Astra, Ultra). The contribution consists of selecting complete existing source bodies, retaining the supplied mathematical text, adding a contents list and source downloads, and adjusting hyperlink destinations. No new mathematical authorship is claimed.
The licence applies to the selected mathematical text and this presentation. The source files are transparent editable copies of the selected bodies. The full source chapter is available at the exact source-edition link above.
Unchanged source introduction, copyright notice and complete attribution section.
Display adaptation: the diagrams in the field-extension and four-rings results are encoded as standard mathematical arrays for the bundled renderer. All ring and prime labels, arrow directions and undirected prime-correspondence edges are unchanged. The supplied diagram sources remain in the LaTeX downloads and the HTML source metadata.