A characterization of prime radical in near-rings under chain conditions on annihilators (Q1203447)
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scientific article; zbMATH DE number 118330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of prime radical in near-rings under chain conditions on annihilators |
scientific article; zbMATH DE number 118330 |
Statements
A characterization of prime radical in near-rings under chain conditions on annihilators (English)
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8 February 1993
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It is proved that if \(R\) is a near-ring which satisfies d.c.c. and a.c.c. on right annihilators of right \(R\)-subsets, then the prime radical \({\mathcal P}(R)\) is a nilpotent ideal.
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near-rings
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chain conditions on annihilators of \(R\)-subsets
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prime radical
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nilpotent ideals
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0.93150973
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0.9128655
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0.9113748
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0.9076983
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