Normal forms for matrices over uniserial rings of length two (Q1758542)
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: Normal forms for matrices over uniserial rings of length two |
scientific article; zbMATH DE number 6104625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms for matrices over uniserial rings of length two |
scientific article; zbMATH DE number 6104625 |
Statements
Normal forms for matrices over uniserial rings of length two (English)
0 references
9 November 2012
0 references
The authors develop methods to describe the conjugacy classes of \(GL(n,R)\) on \(R^{n\times n}\) for a serial ring \(R\) of length two. The main result is a reduction to a computation in the matrix algebra over the residue class field of \(R\), which in some cases can be done theoretically without any actual computation.
0 references
normal form of matrix
0 references
conjugacy classes
0 references
serial ring
0 references
matrix algebra
0 references
0 references
