Answer to a problem on alternative rings raised by Zhevlakov (Q1066252)
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scientific article; zbMATH DE number 3925057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Answer to a problem on alternative rings raised by Zhevlakov |
scientific article; zbMATH DE number 3925057 |
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Answer to a problem on alternative rings raised by Zhevlakov (English)
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1985
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Let \(R\) be any alternative ring, \(N\) the nucleus of \(R\), \(D\) the associator ideal of \(R\) and \(C\) the commutative center of \(R\). K. A. Zhevlakov posed the following question: Is it always the case that \(N\cap D^2\) is contained in \(C\)? This question is answered in the negative by means of the example in \textit{E. Kleinfeld} [Commun. Algebra 8, 289--297 (1980; Zbl 0419.17013)].
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alternative ring
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nucleus
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associator ideal
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center
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0.8647863
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0.86041075
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0.8536957
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