| Title:
|
Representation of connected monounary algebras by means of irreducibles (English) |
| Author:
|
Jakubíková-Studenovská, Danica |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
1067-1078 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the present paper is to describe all connected monounary algebras for which there exists a representation by means of connected monounary algebras which are retract irreducible in the class ${\mathcal U}_c$ (or in ${\mathcal U} $). (English) |
| Keyword:
|
monounary algebra |
| Keyword:
|
connectedness |
| Keyword:
|
retract |
| Keyword:
|
retract irreducibility |
| Keyword:
|
representation |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1081.08010 |
| idMR:
|
MR2184384 |
| . |
| Date available:
|
2009-09-24T11:30:32Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128045 |
| . |
| Reference:
|
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| Reference:
|
[2] W. Imrich, S. Klavžar: Retracts of strong products of graphs.Discrete Math. 109 (1992), 147–154. MR 1192377, 10.1016/0012-365X(92)90285-N |
| Reference:
|
[3] D. Jakubíková-Studenovská: Systems of unary algebras with common endomorphisms I.Czechoslovak Math. J. 29 (1979), 406–420. MR 0536068 |
| Reference:
|
[4] D. Jakubíková-Studenovská: Retract irreducibility of connected monounary algebras I.Czechoslovak Math. J. 46(121) (1996), 291–308. MR 1388617 |
| Reference:
|
[5] D. Jakubíková-Studenovská: Retract irreducibility of connected monounary algebras II.Czechoslovak Math. J. 47(122) (1997), 113–126. MR 1435610, 10.1023/A:1022448406768 |
| Reference:
|
[6] D. Jakubíková-Studenovská: Two types of retract irreducibility of connected monounary algebras.Math. Bohemica 121 (1996), 143–150. MR 1400606 |
| Reference:
|
[7] D. Jakubíková-Studenovská: Antiatomic retract varieties of monounary algebras.Czechoslovak Math. J. 48(123) (1998), 793–808. MR 1658198, 10.1023/A:1022452009553 |
| Reference:
|
[8] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras with a cycle.Czechoslovak Math. J. 50(125) (2000), 681–698. MR 1792964, 10.1023/A:1022452209648 |
| Reference:
|
[9] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras.Czechoslovak Math. J. 50(125) (2000), 705-720. MR 1792966, 10.1023/A:1022456410557 |
| Reference:
|
[10] D. Jakubíková-Studenovská: On a representation of monounary algebras.Czechoslovak Math. J (to appear). MR 2121663 |
| Reference:
|
[11] S. Klavžar: Two remarks on retracts of graph products.Discrete Math. 109 (1992), 155–160. MR 1192378, 10.1016/0012-365X(92)90286-O |
| Reference:
|
[12] T. Kuczmanov, S. Reich, M. Schmidt, and A. Stachura: The product retraction property for the $c_0$-product of countable many metric spaces.Math. Japonica 39 (1994), 73–79. MR 1261339 |
| Reference:
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| Reference:
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| . |
