| Title:
|
The reduced ideals of a special order in a pure cubic number field (English) |
| Author:
|
Azizi, Abdelmalek |
| Author:
|
Benamara, Jamal |
| Author:
|
Ismaili, Moulay Chrif |
| Author:
|
Talbi, Mohammed |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
171-182 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $\not\equiv\pm1\pmod9$. (English) |
| Keyword:
|
cubic field |
| Keyword:
|
reduced ideal |
| MSC:
|
11R16 |
| MSC:
|
11R29 |
| MSC:
|
11T71 |
| idZBL:
|
Zbl 07250677 |
| idMR:
|
MR4156443 |
| DOI:
|
10.5817/AM2020-3-171 |
| . |
| Date available:
|
2020-09-02T08:52:41Z |
| Last updated:
|
2020-11-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148294 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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