4次多项式关系模的非平凡性

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-07-02 DOI:10.1007/s10474-025-01541-3

Á Serrano Holgado

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引用次数: 0

摘要

我们用一个不可约四次多项式的根间商来刻画其关系模的非平凡性。在基域为\(\mathbb{Q}\)的情况下，我们也给出了多项式的三次解的根的表征。

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Nontriviality of the module of relations for degree 4 polynomials

We characterize the nontriviality of the module of relations of an irreducible quartic polynomial in terms of a quotient between its roots. In the case where the base field is \(\mathbb{Q}\), we also give a characterization in terms of the roots of the cubic resolvent of the polynomial.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.