Geodesic
The reduced ideals of a special order in a pure cubic number field
Archivum mathematicum, Tome 56 (2020) no. 3, pp. 171-182.

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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 $\not\equiv\pm1\pmod9$.
DOI : 10.5817/AM2020-3-171
Classification : 11R16, 11R29, 11T71
Keywords: cubic field; reduced ideal 
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Azizi, Abdelmalek; Benamara, Jamal; Ismaili, Moulay Chrif; Talbi, Mohammed. The reduced ideals of a special order in a pure cubic number field. Archivum mathematicum, Tome 56 (2020) no. 3, pp. 171-182. doi : 10.5817/AM2020-3-171. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-3-171/

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