On commutativity of one-sided \(s\)-unital rings (Q1205627)
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scientific article; zbMATH DE number 147592
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On commutativity of one-sided \(s\)-unital rings |
scientific article; zbMATH DE number 147592 |
Statements
On commutativity of one-sided \(s\)-unital rings (English)
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1 April 1993
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Let \(R\) be a left \(s\)-unital ring, and let \(r=r(y)>1\), \(s\) and \(t\) be non negative integers. Suppose that \(R\) satisfies the polynomial identity \([xy-x^ s y^ r x^ t,x]=0\) for all \(x,y\in R\). Then \(R\) is commutative.
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nilpotent elements
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commutator ideal
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zero-divisors
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semi-prime rings
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left \(s\)-unital ring
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polynomial identity
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