Constructive lifting in graded structures: A unified view of Buchberger and Hensel methods (Q1117275)
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scientific article; zbMATH DE number 4091630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive lifting in graded structures: A unified view of Buchberger and Hensel methods |
scientific article; zbMATH DE number 4091630 |
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Constructive lifting in graded structures: A unified view of Buchberger and Hensel methods (English)
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1988
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The paper introduces a method to solve polynomial equations over a graded structure [cf. \textit{L. Robbiano}, J. Symb. Comput. 2, 139-170 (1986; Zbl 0609.13007)]. It gives a theoretical frame, based on a general lifting technique in graded structures which is sufficiently general to recover both the Hensel-Zassenhaus lifting and Buchberger's algorithm as specific instances. The authors also indicate how to interpret Hensel and Gröbner techniques within this setting.
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Gröbner basis
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polynomial equations over a graded structure
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