On rings whose prime ideals are completely prime (Q1602672)
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scientific article; zbMATH DE number 1758362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rings whose prime ideals are completely prime |
scientific article; zbMATH DE number 1758362 |
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On rings whose prime ideals are completely prime (English)
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24 June 2002
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For a ring \(R\), the prime radical and the set of all nilpotent elements are denoted by \(P(R)\) and \(N(R)\). A proper two-sided ideal \(I\) of a ring \(R\) is called 2-primal if \(P(R/I)=N(R/I)\). A ring \(R\) is called strongly 2-primal if every proper two-sided ideal of \(R\) is 2-primal. Strongly 2-primal rings with several kinds of \(\pi\)-regularities are studied.
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prime radical
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nilpotent elements
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\(\pi\)-regularities
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strongly 2-primal rings
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