| Title:
|
Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra (English) |
| Author:
|
Wang, Dengyin |
| Author:
|
Pan, Haishan |
| Author:
|
Wang, Xuansheng |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
371-379 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\Cal P$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\Cal P$ are determined completely; Each ideal of $\Cal P$ is shown to be generated by one element; Every non-linear invertible map on $\Cal P$ that preserves ideals is described in an explicit formula. (English) |
| Keyword:
|
simple associative $F$-algebra |
| Keyword:
|
ideals |
| Keyword:
|
maps preserving ideals |
| MSC:
|
15A04 |
| MSC:
|
15A27 |
| MSC:
|
16D25 |
| MSC:
|
16S50 |
| idZBL:
|
Zbl 1224.15005 |
| idMR:
|
MR2657955 |
| . |
| Date available:
|
2010-07-20T16:44:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140575 |
| . |
| 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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| Reference:
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| Reference:
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| . |
