| Title:
|
Unit-regularity and representability for semiartinian $*$-regular rings (English) |
| Author:
|
Herrmann, Christian |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
43-47 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is subdirectly irreducible then it admits a representation within some inner product space. (English) |
| Keyword:
|
$*$-regular ring |
| Keyword:
|
representable |
| Keyword:
|
unit-regular |
| MSC:
|
16E50 |
| MSC:
|
16W10 |
| idZBL:
|
Zbl 07177879 |
| idMR:
|
MR4075887 |
| DOI:
|
10.5817/AM2020-1-43 |
| . |
| Date available:
|
2020-03-02T09:07:58Z |
| Last updated:
|
2020-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148035 |
| . |
| 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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| Reference:
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[12] Micol, F.: On representability of $\ast $-regular rings and modular ortholattices.Ph.D. thesis, TU Darmstadt, January 2003, http://elib.tu-darmstadt.de/diss/000303/diss.pdf. |
| Reference:
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| . |
