MELT right \(V\)-rings are von Neumann regular (Q1902253)
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scientific article; zbMATH DE number 817784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | MELT right \(V\)-rings are von Neumann regular |
scientific article; zbMATH DE number 817784 |
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MELT right \(V\)-rings are von Neumann regular (English)
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14 March 1996
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The authors show that a ring in which (a) all right ideals are idempotent, and (b) every maximal essential left ideal is two-sided is von Neumann regular. This answers a question of \textit{R. Yue Chi Ming} [Ric. Mat. 33, 147-158 (1984; Zbl 0577.16011)].
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von Neumann regular rings
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MELT rings
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\(V\)-rings
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fully idempotent rings
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idempotent right ideals
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maximal essential left ideals
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