\(n\)-Barbilian domains (Q2366162)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(n\)-Barbilian domains |
scientific article |
Statements
\(n\)-Barbilian domains (English)
0 references
29 June 1993
0 references
The notion of Barbilian domain as introduced and studied by \textit{W. Leissner} [J. Geom. 6, 31-57 (1975; Zbl 0296.50005) and ibid., 105-129 (1975; Zbl 0296.50006)] is refined to \(n\)-Barbilian domain in a free- module of rank \(n\). All possible \(n\)-Barbilian domains in \(R^ n\) are classified. Barbilian domains in free modules of infinite rank are also studied. Finally \(n\)-Barbilian domains are used to set up \(n\)-dimensional affine geometry over a ring.
0 references
Hermite ring
0 references
affine ring geometry
0 references
Barbilian domain
0 references
free-module
0 references
