Simple rings with \((R,R,R)\) in left nucleus (Q2724896)
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scientific article; zbMATH DE number 1618355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple rings with \((R,R,R)\) in left nucleus |
scientific article; zbMATH DE number 1618355 |
Statements
25 April 2002
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associators
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left nucleus
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Simple rings with \((R,R,R)\) in left nucleus (English)
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Let \(R\) be a ring with associators in the left nucleus and characteristic \(\neq 2\). The authors show that \(R\) is associative if it satisfies any of the following conditions: (1) \(R\) is a simple ring with 1; (2) \(R\) is a simple ring with associators also in the right nucleus; (3) For all \(a\in R\), \(a^2=0\) implies \(a=0\).
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0.8812374472618103
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