| Title:
|
On a representation of monounary algebras (English) |
| Author:
|
Jakubíková-Studenovská, Danica |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
157-164 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we deal with a question concerning monounary algebras which is analogous to an open problem for partially ordered sets proposed by Duffus and Rival. (English) |
| Keyword:
|
monounary algebra |
| Keyword:
|
connectedness |
| Keyword:
|
retract |
| Keyword:
|
retract irreducibility |
| Keyword:
|
representation |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1081.08009 |
| idMR:
|
MR2121663 |
| . |
| Date available:
|
2009-09-24T11:21:45Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127966 |
| . |
| Reference:
|
[1] D. Duffus and I. Rival: A structure theory for ordered sets.Discrete Math. 35 (1981), 53–118. MR 0620665, 10.1016/0012-365X(81)90201-6 |
| Reference:
|
[2] D. Jakubíková-Studenovská: Retract irreducibility of connected monounary algebras I.Czechoslovak Math. J. 46(121) (1996), 291–308. MR 1388617 |
| Reference:
|
[3] 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:
|
[4] D. Jakubíková-Studenovská: Two types of retract irreducibility of connected monounary algebras.Math. Bohem. 2(121) (1996), 143–150. MR 1400606 |
| Reference:
|
[5] D. Jakubíková-Studenovská: Retract irreducibility of monounary algebras.Czechoslovak Math. J. 49(124) (1999), 363–390. MR 1692524, 10.1023/A:1022412604912 |
| Reference:
|
[6] D. Jakubíková-Studenovská: DR-irreducibility of monounary algebras with a cycle.Czechoslovak Math. J. 50(125) (2000), 681–698. MR 1792964, 10.1023/A:1022452209648 |
| Reference:
|
[7] D. Jakubíková-Studenovská: DR-irreducibility of monounary algebras.Czechoslovak Math. J. 50(125) (2000), 705–720. MR 1792966, 10.1023/A:1022456410557 |
| . |
