| Title:
|
A generalisation of Amitsur's A-polynomials (English) |
| Author:
|
Owen, Adam |
| Author:
|
Pumplün, Susanne |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
29 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
281-289 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$. (English) |
| Keyword:
|
Skew polynomial ring |
| Keyword:
|
reducible skew polynomials |
| Keyword:
|
eigenspace |
| Keyword:
|
nonassociative algebra |
| Keyword:
|
semisimple Artinian ring. |
| MSC:
|
16S36 |
| MSC:
|
17A35 |
| MSC:
|
17A36 |
| MSC:
|
17A60 |
| idZBL:
|
Zbl 07426424 |
| idMR:
|
MR4285758 |
| . |
| Date available:
|
2021-11-04T12:29:01Z |
| Last updated:
|
2021-12-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149195 |
| . |
| 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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| Reference:
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[17] Owen, A.: On the right nucleus of Petit algebras.PhD Thesis, University of Nottingham, in preparation.. |
| Reference:
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| . |
