On an extension of the Newton polygon test for polynomial reducibility (Q6589651)
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scientific article; zbMATH DE number 7898772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an extension of the Newton polygon test for polynomial reducibility |
scientific article; zbMATH DE number 7898772 |
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On an extension of the Newton polygon test for polynomial reducibility (English)
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20 August 2024
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This paper generalizes the Newton polygon method over a special principal deal ring which is not a field. It's essentially proven that for an irreducible monic polynomial \(f\) with \(f(0) \neq 0\), its Newton polygon has only one side.
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Newton polygon
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polynomials
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special principal ideal ring
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