A regular ring embeddable into each of its right ideals (Q1814394)
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scientific article; zbMATH DE number 10725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regular ring embeddable into each of its right ideals |
scientific article; zbMATH DE number 10725 |
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A regular ring embeddable into each of its right ideals (English)
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25 June 1992
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It is given a negative answer to question 51 from \textit{K. R. Goodearl's} book [Von Neumann regular rings (Pitman, 1979; Zbl 0411.16007)]. There exists a regular ring R, which is embeddable as a right module into any non-zero right ideal, but which is not isomorphic to some principal right ideal of the ring.
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regular ring
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right ideal
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principal right ideal
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