𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Henselian valued fields: a constructive point of view

✍ Scribed by Hervé Perdry

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
243 KB
Volume
51
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

This article is a logical continuation of the Henri Lombardi and Franz-Viktor Kuhlmann article [9]. We address some classical points of the theory of valued fields with an elementary and constructive point of view. We deal with Krull valuations, and not simply discrete valuations. First of all, we show how (in the spirit of [9]) to construct the Henselization of a valued field; we restrict to fields in which one has at one's disposal algorithmic tools to test the nullity or the valuation ring membership. It is therefore a work that differs as much in spirit as in field of application from that of Mines, Richman and Bridges (cf. [10]), who address the framework of Heyting fields and discrete valuation. We show then in a constructive way a batch of classical results in Henselian fields, notably factorization criteria and Krasner's Lemma. We conclude by a construction of the inertia field of a valued field.

📜 SIMILAR VOLUMES

A physician's point of view
A physician's point of view
✍ B. J. Kennedy 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB 👁 2 views
From a Certain Point of View
From a Certain Point of View
✍ Seth Dickinson; Hank Green; R. F. Kuang; Martha Wells; Kiersten White 📂 Fiction 📅 2020 🏛 Random House Publishing Group 🌐 en-US ⚖ 1 MB 👁 2 views

**Celebrate the legacy of *The Empire Strikes Back* with this exciting reimagining of the timeless film featuring new perspectives from forty acclaimed authors.** On May 21, 1980, Star Wars became a true saga with the release of *The Empire Strikes Back*. In honor of the fortieth anniversary, for

cover
From a Certain Point of View
✍ AA. VV. 📂 Fiction 📅 2017 🏛 ePubLibre 🌐 English ⚖ 545 KB 👁 2 views

Forty years. Forty stories.In honor of the fortieth anniversary of Star Wars: A New Hope, this collection features Star Wars stories by bestselling authors, trendsetting artists, and treasured voices from Star Wars literary history. More than forty authors have lent their unique vision to forty "sce

cover
00BBY: A Certain Point of View
✍ Newcomb, Charlene 📂 Fiction 🏛 Hewlett-Packard 🌐 English ⚖ 51 KB 👁 2 views

**"A Certain Point of View"** is a short story written by Charlene Newcomb (with illustrations by Mike Vilardi and Daniel Horne) that was originally published in **Star Wars Adventure Journal 8** by West End Games in November 1995. It was later reprinted in the short story anthology **Tales from the

cover
00BBY: A Certain Point of View
✍ Newcomb, Charlene 📂 Fiction 🏛 Hewlett-Packard 🌐 English ⚖ 51 KB 👁 2 views

**"A Certain Point of View"** is a short story written by Charlene Newcomb (with illustrations by Mike Vilardi and Daniel Horne) that was originally published in **Star Wars Adventure Journal 8** by West End Games in November 1995. It was later reprinted in the short story anthology **Tales from the

The Division Algebras and Brauer Group o
The Division Algebras and Brauer Group of a Strictly Henselian Field
✍ E.S. Brussel 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 158 KB

The set of division algebras central and finite dimensional over a field F Ž . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ž ⅷ . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and