| Title:
|
On regular endomorphism rings of topological Abelian groups (English) |
| Author:
|
Abrudan, Horea Florian |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
521-530 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups $A$ for which ${\rm End}_c(A)$ is regular is given. (English) |
| Keyword:
|
$m$-regular ring |
| Keyword:
|
discrete module |
| Keyword:
|
quasi-injective module |
| Keyword:
|
linearly compact group |
| Keyword:
|
LCA group |
| Keyword:
|
local product |
| MSC:
|
16E50 |
| MSC:
|
16S50 |
| MSC:
|
16W80 |
| MSC:
|
20K30 |
| MSC:
|
20K45 |
| MSC:
|
22B05 |
| idZBL:
|
Zbl 1240.20055 |
| idMR:
|
MR2905420 |
| DOI:
|
10.1007/s10587-011-0070-6 |
| . |
| Date available:
|
2011-06-06T10:39:12Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141550 |
| . |
| 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:
|
[8] Rangaswamy, K. M.: Abelian groups with endomorphic images of special types.J. of Algebra 6 (1969), 271-280. MR 0217180, 10.1016/0021-8693(67)90082-8 |
| Reference:
|
[9] Stroppel, M.: Locally Compact Groups.EMS Textbooks in Mathematics, European Mathematical Society Publishing House, Zurich (2006). Zbl 1102.22005, MR 2226087 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
