Decomposition of semiprime rings with D.C.C. on right annihilators (Q1073878)
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scientific article; zbMATH DE number 3946373
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of semiprime rings with D.C.C. on right annihilators |
scientific article; zbMATH DE number 3946373 |
Statements
Decomposition of semiprime rings with D.C.C. on right annihilators (English)
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1984
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Let R be a semiprime ring with the descending chain condition on annihilator ideals. In this note it is shown that \(R=S+J\), where S denotes the right socle of R and J is a finite intersection of maximal right ideals which are direct summands.
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semiprime ring
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descending chain condition on annihilator ideals
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right socle
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maximal right ideals
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direct summands
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0.7860655784606934
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