On a problem by Beidar concerning the central closure. (Q932152)
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scientific article; zbMATH DE number 5299354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a problem by Beidar concerning the central closure. |
scientific article; zbMATH DE number 5299354 |
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On a problem by Beidar concerning the central closure. (English)
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10 July 2008
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The author shows that there exists a prime ring with zero center such that its central closure is a simple ring with an identity element. This solves a problem posed by Beidar. The proof is very clever and the desired ring is a subalgebra of infinite, row-finite matrices over polynomial rings in infinitely many variables over rational numbers.
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prime rings
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central closures
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Brown-McCoy radical
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