Factorization of polynomials over valued fields based on graded polynomials (Q2057851)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Factorization of polynomials over valued fields based on graded polynomials |
scientific article; zbMATH DE number 7439808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization of polynomials over valued fields based on graded polynomials |
scientific article; zbMATH DE number 7439808 |
Statements
Factorization of polynomials over valued fields based on graded polynomials (English)
0 references
7 December 2021
0 references
In the paper under review, the author discovers a technical method using Newton polygon and graded polynomials. This method can be used to factorize all monic polynomials with coefficients in a Henselian valued field. As an application, the author proposes a new proof for Hensel lemma.
0 references
Henselian valued fields
0 references
Henselization
0 references
graded fields
0 references
prime ideal factorization
0 references
0 references
0.9237177
0 references
0.9211347
0 references
0 references
0.9192178
0 references
0.91560036
0 references
0.91308844
0 references
0.91272676
0 references
