Commutativity of one sided s-unital rings (Q803246)
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scientific article; zbMATH DE number 4200422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutativity of one sided s-unital rings |
scientific article; zbMATH DE number 4200422 |
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Commutativity of one sided s-unital rings (English)
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1990
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Let R be an associative left (right) s-unital ring. It is shown that R is commutative if either (i) R satisfies the identity \([x^ ny-y^ mx^ k,x]=0\), \(m\geq 2\), or (ii) R satisfies the identity \(x^ n[x,y]=[x,y]x^ k\), where \(0<k<n\), and R is n!-torsion free or \(k=0\), \(n>0\).
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s-unital ring
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commutative
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identity
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