On skew-commuting mappings in semiprime rings (Q2836152)
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: On skew-commuting mappings in semiprime rings |
scientific article; zbMATH DE number 6662101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On skew-commuting mappings in semiprime rings |
scientific article; zbMATH DE number 6662101 |
Statements
On skew-commuting mappings in semiprime rings (English)
0 references
7 December 2016
0 references
functional identities
0 references
semiprime ring
0 references
additive map
0 references
0.9679568
0 references
0 references
0.95082116
0 references
0.95051867
0 references
0.9403082
0 references
0.9352156
0 references
0.9351802
0 references
Let \(R\) be a semiprime ring and let \(f\:R\to R\) be an additive map satisfying \(f(x)x^n + x^nf(x)=0\) for all \(x\in R\) and some fixed positive integer \(n\). Using results on functional identities it is proved that \(f=0\), provided that \(R\) is \(n!\)-torsion free.
0 references
