Constructing examples of integral domains by intersecting valuation domains (Q2752914)
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: Constructing examples of integral domains by intersecting valuation domains |
scientific article; zbMATH DE number 1665648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing examples of integral domains by intersecting valuation domains |
scientific article; zbMATH DE number 1665648 |
Statements
18 June 2002
0 references
Prüfer domains
0 references
integral domains
0 references
valuation domains
0 references
0.8476364
0 references
0.8455544
0 references
0.84271425
0 references
0.83829105
0 references
0.8376772
0 references
0.83693147
0 references
0.83667135
0 references
Constructing examples of integral domains by intersecting valuation domains (English)
0 references
In this article the author constructs some interesting examples of Prüfer domains \(D\) with an expression for \(D\) as \(\bigcap V_{\lambda}\) of certain valuation domains \(V_{\lambda}\) which are overrings of \(D.\) The principal tool in these constructions is the theorem of \textit{R. Gilmer} proved in J. Reine Angew. Math. 239-240, 153-162 (1970; Zbl 0184.29102) and reproved by \textit{K. A. Loper} in J. Pure Appl. Algebra 96, No. 3, 271-278 (1994; Zbl 0840.13009).NEWLINENEWLINEFor the entire collection see [Zbl 0964.00012].
0 references
