| Title:
|
On monogenity of certain pure number fields of degrees $2^r\cdot 3^k\cdot 7^s$ (English) |
| Author:
|
Ben Yakkou, Hamid |
| Author:
|
Didi, Jalal |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
149 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
167-183 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $K = \mathbb {Q} (\alpha ) $ be a pure number field generated by a complex root $\alpha $ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot 3^k\cdot 7^s} -m \in \mathbb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers. The purpose of this paper is to study the monogenity of $K$. Our results are illustrated by some examples. (English) |
| Keyword:
|
power integral basis |
| Keyword:
|
theorem of Ore |
| Keyword:
|
prime ideal factorization |
| Keyword:
|
common index divisor |
| MSC:
|
11R04 |
| MSC:
|
11R16 |
| MSC:
|
11R21 |
| DOI:
|
10.21136/MB.2023.0071-22 |
| . |
| Date available:
|
2024-07-10T15:02:27Z |
| Last updated:
|
2024-07-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152466 |
| . |
| Reference:
|
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| Reference:
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