| Title:
|
Certain simple maximal subfields in division rings (English) |
| Author:
|
Aaghabali, Mehdi |
| Author:
|
Bien, Mai Hoang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
1053-1060 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $D$ be a division ring finite dimensional over its center $F$. The goal of this paper is to prove that for any positive integer $n$ there exists $a\in D^{(n)},$ the $n$th multiplicative derived subgroup such that $F(a)$ is a maximal subfield of $D$. We also show that a single depth-$n$ iterated additive commutator would generate a maximal subfield of $D.$ (English) |
| Keyword:
|
division ring |
| Keyword:
|
rational identity |
| Keyword:
|
maximal subfield |
| MSC:
|
16K20 |
| MSC:
|
16R50 |
| MSC:
|
17A35 |
| idZBL:
|
07144874 |
| idMR:
|
MR4039619 |
| DOI:
|
10.21136/CMJ.2019.0039-18 |
| . |
| Date available:
|
2019-11-28T08:50:35Z |
| Last updated:
|
2022-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147913 |
| . |
| 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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| . |
