On H-separable extensions of primitive rings (Q1090742)
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scientific article; zbMATH DE number 4008592
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On H-separable extensions of primitive rings |
scientific article; zbMATH DE number 4008592 |
Statements
On H-separable extensions of primitive rings (English)
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1987
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A ring is called strongly primitive if it has a faithful minimal left ideal. In this paper, assuming that B is a strongly primitive ring with socle S and A an H-separable extension of B such that A is finitely generated and projective as left B-module, it is shown that A is strongly primitive if and only if \(ASA\cap B=S\).
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strongly primitive ring
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socle
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H-separable extension
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