Cale bases in algebraic orders (Q1431004)
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: Cale bases in algebraic orders |
scientific article; zbMATH DE number 2068413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cale bases in algebraic orders |
scientific article; zbMATH DE number 2068413 |
Statements
Cale bases in algebraic orders (English)
0 references
27 May 2004
0 references
It has been proved by \textit{A. Faisant} [Ann. Math. Blaise Pascal 7, No. 2, 13--18 (2000; Zbl 1013.11071)] that in every non-integrally closed quadratic order \(R\) the set of \(e\)th powers of numbers prime to the conductor of \(R\) (where \(e\) is the exponent of the class group of \(R\)) has the unique factorization property. Here an analogous result is obtained for arbitrary non-integrally closed orders.
0 references
orders
0 references
Cale bases
0 references
factorization
0 references
