| Title:
|
Notes on slender prime rings (English) |
| Author:
|
El Bashir, Robert |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
419-422 |
| . |
| Category:
|
math |
| . |
| Summary:
|
If $R$ is a prime ring such that $R$ is not completely reducible and the additive group $R(+)$ is not complete, then $R$ is slender. (English) |
| Keyword:
|
ring |
| Keyword:
|
prime |
| Keyword:
|
slender |
| MSC:
|
16D70 |
| MSC:
|
16N60 |
| MSC:
|
16W60 |
| MSC:
|
16W80 |
| idZBL:
|
Zbl 0854.16016 |
| idMR:
|
MR1399017 |
| . |
| Date available:
|
2009-01-08T18:24:57Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118847 |
| . |
| Reference:
|
[1] Anderson F.W., Fuller K.R.: Rings and Categories of Modules, $2^{nd}$ edition.Springer New York (1992). Zbl 0765.16001, MR 1245487 |
| Reference:
|
[2] El Bashir R., Kepka T.: On when small semiprime rings are slender.to appear. Zbl 0854.16015 |
| Reference:
|
[3] Dimitrić R.: Slender modules over domains.Commun. in Algebra 11 (1983), 1685-1700. MR 0702414 |
| Reference:
|
[4] Eklof P., Mekler A.: Almost Free Modules.North-Holland New York (1990). Zbl 0718.20027, MR 1055083 |
| Reference:
|
[5] Heinlein G.: Vollreflexive Ringe und schlanke Moduln.Dissertation Erlangen (1971). |
| Reference:
|
[6] Nunkee R.: Slender groups.Acta Sci. Math. Szeged 23 (1962), 67-73. MR 0144968 |
| . |
