discrete valuation
discrete valuation noun: a valuation (on some field) that takes integer values (including infinity).
Noun
discrete valuation (plural discrete valuations)
- A valuation (on some field) that takes integer values (including infinity).
- Therefore the theory branches in two essential parts : first the study of discrete valuations of the Weyl field D#95;1(K) extending a discrete valuation of K, secondly the discrete valuations of D#95;1(K) having the purely transcendental field K(t) as a residue field.2000, Freddy Van Oystaeyen, Algebraic Geometry for Associative Algebras, CRC Press, page 173
- One of the few possibilities to extend some arithmetic aspects of number theory to more abstract fields is via valuation theory and, as a first step, we may restrict attention to discrete valuations.2004, Farahat S. Aly, Freddy Van Oystaeyen, “Hopf Order Module Algebra Orders”, in Stefaan Caenepeel, Fred Van Oystaeyen, editors, Hopf Algebras in Noncommutative Geometry and Physics, CRC Press...
Forms of discrete valuation
| plural | discrete valuations |
|---|
Words formed from discrete valuation
- discrete valuation field
- discrete valuation ring
Questions about discrete valuation
- What does discrete valuation mean?
- Discrete valuation means a valuation (on some field) that takes integer values (including infinity).
- What part of speech is discrete valuation?
- Discrete valuation is a noun.
- What is the plural of discrete valuation?
- The plural of discrete valuation is discrete valuations.
Words near discrete valuation in the dictionary
Source and license
Adapted from Wiktionary: discrete valuation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “discrete valuation.” Word.ws, https://word.ws/discrete_valuation. Based on Wiktionary, CC BY-SA 4.0.