Commutativity theorems through a Streb's classification (Q2732515)
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: Commutativity theorems through a Streb's classification |
scientific article; zbMATH DE number 1623789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutativity theorems through a Streb's classification |
scientific article; zbMATH DE number 1623789 |
Statements
2 April 2002
0 references
commutator constraints
0 references
commutativity theorems
0 references
Commutativity theorems through a Streb's classification (English)
0 references
Let \(m\), \(n\), \(r\), and \(s\) be fixed positive integers and consider the ring property (*): for each \(x,y\in R\), there exists \(f(t)\in t^2\mathbb{Z}[t]\) such that \([x^nyx^m-x^rf(y)x^s,x]=0\). The first theorem states that any ring \(R\) with \(1\) which satisfies (*) must be commutative. There are several other commutativity theorems involving conditions similar to (*).
0 references
0.9117597937583924
0 references
0.9110350608825684
0 references
