Automorphisms of upper triangular matrix rings (Q1080927)
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: Automorphisms of upper triangular matrix rings |
scientific article; zbMATH DE number 3968834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automorphisms of upper triangular matrix rings |
scientific article; zbMATH DE number 3968834 |
Statements
Automorphisms of upper triangular matrix rings (English)
0 references
1987
0 references
Let A be a simple artinian ring with center F and suppose A is finite dimensional over F. The Skolem-Noether theorem says that every F- automorphism of A is inner. In this note we show that every F- automorphism of the ring of upper triangular matrices over such a ring is inner.
0 references
simple artinian ring
0 references
finite dimensional
0 references
Skolem-Noether theorem
0 references
F- automorphism
0 references
ring of upper triangular matrices
0 references
inner automorphisms
0 references
0.98141515
0 references
0.9652717
0 references
0.95680094
0 references
0.95018303
0 references
0 references
0 references
0.94620407
0 references
