| Title:
|
A note on finitely generated ideal-simple commutative semirings (English) |
| Author:
|
Kala, Vítězslav |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
1-9 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields. (English) |
| Keyword:
|
semiring |
| Keyword:
|
ideal |
| Keyword:
|
simple |
| MSC:
|
16Y60 |
| idZBL:
|
Zbl 1192.16045 |
| idMR:
|
MR2432815 |
| . |
| Date available:
|
2009-05-05T17:06:01Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119696 |
| . |
| Reference:
|
[1] El Bashir R., Hurt J., Jančařík A., Kepka T.: Simple commutative semirings.J. Algebra 236 (2001), 277-306. Zbl 0976.16034, MR 1808355, 10.1006/jabr.2000.8483 |
| Reference:
|
[2] Hebisch U., Weinert H.J.: Halbringe - Algebraische Theorie und Anwendungen in der Informatik.Teubner, Stuttgart, 1993. Zbl 0829.16035, MR 1311247 |
| . |
