A sum of two locally nilpotent rings may be not nil (Q689790)
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scientific article; zbMATH DE number 446370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sum of two locally nilpotent rings may be not nil |
scientific article; zbMATH DE number 446370 |
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A sum of two locally nilpotent rings may be not nil (English)
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15 November 1993
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A question known in the literature is answered by giving an example of a ring which is not nil but is a sum of two locally nilpotent subrings. The ring constructed is actually an algebra over the field of real numbers with countable dimension, and therefore it is not even Jacobson radical.
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locally nilpotent subrings
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Jacobson radical
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0.93651104
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0.9263015
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0.92487043
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0.86593145
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0.8599983
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0.8543911
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0.8538686
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