Some commutativity results for \(s\)-unital rings (Q2703130)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some commutativity results for \(s\)-unital rings |
scientific article |
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3 September 2001
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commutativity theorems
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commutator constraints
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left \(s\)-unital rings
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Some commutativity results for \(s\)-unital rings (English)
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This paper establishes commutativity of certain rings satisfying complicated commutator constraints. The following result is typical: Let \(m,r,s\) and \(t\) be fixed non-negative integers. If \(R\) is a left \(s\)-unital ring such that for each \(x,y\in R\) there exists \(f(t)\in t^2\mathbb{Z}[t]\) for which \([f(y^mx^ry^s)+x^ty,x]=0\), then \(R\) is commutative.
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