On normal polynomials and polynomials which generate the same extension (Q917605)
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scientific article; zbMATH DE number 4156593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normal polynomials and polynomials which generate the same extension |
scientific article; zbMATH DE number 4156593 |
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On normal polynomials and polynomials which generate the same extension (English)
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1990
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The paper gives a criterion for a separable irreducible polynomial over a field \(K\) to be normal. Furthermore, several characterizations for two separable polynomials over \(K\) to generate isomorphic extensions are deduced. All results are obtained only by the knowledge of the roots of these polynomials.
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normal polynomials
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separable polynomials
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isomorphic extensions
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