纯三次数域中特殊阶的约化理想

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2020-01-01 DOI:10.5817/am2020-3-171

A. Azizi, Jamal Benamara, M. C. Ismaili, M. Talbi

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引用次数: 0

摘要

让 $K=\mathbb{Q}(\theta )$ 是一个纯立方场，有 $\theta ^3=D$，其中 $D$ 是一个无立方整数。我们将确定该秩序的简化理想 $\mathcal{O}=\mathbb{Z}[\theta ]$ 的 $K$ 哪个与的最大阶重合 $K$ 在这种情况下 $D$ 是无平方的 $\not\equiv\pm1\pmod9$．

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The reduced ideals of a special order in a pure cubic number field

Let $K=\mathbb{Q}(\theta )$ be a pure cubic field, with $\theta ^3=D$, where $D$ is a cube-free integer. We will determine the reduced ideals of the order $\mathcal{O}=\mathbb{Z}[\theta ]$ of $K$ which coincides with the maximal order of $K$ in the case where $D$ is square-free and $\not\equiv\pm1\pmod9$.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.