| Title:
|
Commutative zeropotent semigroups with few invariant congruences (English) |
| Author:
|
Bashir, Robert El |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
865-885 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Commutative semigroups satisfying the equation $2x+y=2x$ and having only two $G$-invariant congruences for an automorphism group $G$ are considered. Some classes of these semigroups are characterized and some other examples are constructed. (English) |
| Keyword:
|
commutative |
| Keyword:
|
zeropotent |
| Keyword:
|
semigroup |
| MSC:
|
08A30 |
| MSC:
|
20M14 |
| MSC:
|
20M30 |
| idZBL:
|
Zbl 1165.20322 |
| idMR:
|
MR2471153 |
| . |
| Date available:
|
2010-07-21T08:02:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140427 |
| . |
| Reference:
|
[1] Bashir, R. El, Kepka, T.: Commutative semigroups with few invariant congruences.Semigroup Forum 64 (2002), 453-471. Zbl 0996.20042, MR 1896381, 10.1007/s002330010114 |
| Reference:
|
[2] Flaška, V., Kepka, T.: Commutative zeropotent semigroups.Acta Univ. Carolinae 47/1 (2006), 3-14. MR 2509893 |
| Reference:
|
[3] Ježek, J.: Simple semilattices with two commuting automorphisms.Algebra Univ. 15 (1982), 162-175. MR 0686800, 10.1007/BF02483720 |
| Reference:
|
[4] Ježek, J., Kepka, T.: Medial groupoids.Rozpravy ČSAV, vol. 93 (1983), 93. MR 0734873 |
| Reference:
|
[5] Maróti, M.: Semilattices with a group of automorphisms.Algebra Univ. 38 (1997), 238-265. MR 1619766, 10.1007/s000120050054 |
| Reference:
|
[6] McCleary, S. H.: o-Primitive ordered permutation groups.Pacific J. Math. 40 (1972), 349-372. MR 0313155, 10.2140/pjm.1972.40.349 |
| Reference:
|
[7] McCleary, S. H.: o-Primitive ordered permutation groups (II).Pacific J. Math. 49 (1973), 431-445. Zbl 0253.06017, MR 0349526, 10.2140/pjm.1973.49.431 |
| . |
