| Title:
|
Ordinary selfdistributive rings (English) |
| Author:
|
Ghoneim, S. |
| Author:
|
Kechlibar, M. |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
293-299 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Left selfdistributive rings (i.e., $xyz = xyxz$) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied. (English) |
| Keyword:
|
ring |
| Keyword:
|
selfdistributive |
| Keyword:
|
ordinary |
| MSC:
|
16A99 |
| MSC:
|
16D40 |
| MSC:
|
16D70 |
| MSC:
|
16N40 |
| MSC:
|
16R10 |
| MSC:
|
16S60 |
| MSC:
|
16S99 |
| idZBL:
|
Zbl 1106.16303 |
| idMR:
|
MR2176893 |
| . |
| Date available:
|
2009-05-05T16:51:06Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119525 |
| . |
| Reference:
|
[1] Birkenmaier G., Heatherly H.: Operation inducing systems.Algebra Universalis 24 (1987), 137-142. MR 0921538 |
| Reference:
|
[2] Birkenmeier G., Heatherly H., Kepka T.: Rings with left self distributive multiplication.Acta Math. Hungar. 60 (1992), 107-114. Zbl 0782.16018, MR 1177249 |
| Reference:
|
[3] Ghoneim S., Kepka T.: Left selfdistributive rings generated by idempotents.Acta Math. Hungar. 101 (2003), 21-31. Zbl 1053.16001, MR 2011459 |
| Reference:
|
[4] Kelarev A.V.: On left self distributive rings.Acta Math. Hungar. 71 (1996), 121-122. Zbl 0848.16016, MR 1398030 |
| . |