| Title:
|
Partially-2-homogeneous monounary algebras (English) |
| Author:
|
Jakubíková-Studenovská, Danica |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
655-668 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is a continuation of [5], where $k$-homogeneous and $k$-set-homogeneous algebras were defined. The definitions are analogous to those introduced by Fraïssé [2] and Droste, Giraudet, Macpherson, Sauer [1] for relational structures. In [5] we found all 2-homogeneous and all 2-set-homogeneous monounary algebras when the homogenity is considered with respect to subalgebras, to connected subalgebras and with respect to connected partial subalgebras, respectively. The results of [3], where all homogeneous monounary algebras were characterized, were applied in [4] for 1-homogeneity. The aim of the present paper is to describe all monounary algebras which are 2-homogeneous and 2-set-homogeneous with respect to partial subalgebras, respectively; we will say that they are partially-2-homogeneous and partially-2-set-homogeneous. (English) |
| Keyword:
|
monounary algebra |
| Keyword:
|
2-homogeneous |
| Keyword:
|
2-set-homogeneous |
| Keyword:
|
partially-2-homogeneous |
| Keyword:
|
partially-2-set-homogeneous |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1080.08006 |
| idMR:
|
MR2000061 |
| . |
| Date available:
|
2009-09-24T11:05:32Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127831 |
| . |
| Reference:
|
[1] M. Droste, M. Giraudet, H. D. Macpherson and N. Sauer: Set-homogeneous graphs.J. Combin. Theory Ser. B 62 (1994), 63–95. MR 1290631, 10.1006/jctb.1994.1055 |
| Reference:
|
[2] R. Fraïssé: Theory of Relations.North-Holland, Amsterdam, 1986. MR 0832435 |
| Reference:
|
[3] D. Jakubíková-Studenovská: Homogeneous monounary algebras.Czechoslovak Math. J. 52(127) (2002), 309–317. MR 1905437, 10.1023/A:1021722527256 |
| Reference:
|
[4] D. Jakubíková-Studenovská: On homogeneous and 1-homogeneous monounary algebras.Contributions to General Algebra 12. Proceedings of the Wien Conference, June 1999, Verlag J. Heyn, 2000, pp. 221–224. MR 1777661 |
| Reference:
|
[5] D. Jakubíková-Studenovská: On 2-homogeneity of monounary algebras.Czechoslovak Math. J. 53(128) (2003), 55–68. MR 1961998, 10.1023/A:1022919307623 |
| . |
