Geodesic
On 2-homogeneity of monounary algebras
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 55-68 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Fraïssé introduced the notion of a $k$-set-homogeneous relational structure. In the present paper the following classes of monounary algebras are described: $\mathcal Sh_2(S)$, $\mathcal Sh_2(S^c)$, $\mathcal Sh_2(P^c)$ —the class of all algebras which are 2-set-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively, and $\mathcal H_2(S)$, $\mathcal H_2(S^c)$, $\mathcal H_2(P^c)$ —the class of all algebras which are 2-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively.
Fraïssé introduced the notion of a $k$-set-homogeneous relational structure. In the present paper the following classes of monounary algebras are described: $\mathcal Sh_2(S)$, $\mathcal Sh_2(S^c)$, $\mathcal Sh_2(P^c)$ —the class of all algebras which are 2-set-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively, and $\mathcal H_2(S)$, $\mathcal H_2(S^c)$, $\mathcal H_2(P^c)$ —the class of all algebras which are 2-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively.
Classification : 08A60
Keywords: monounary algebra; homogeneous; 2-homogeneous; 2-set-homogeneous 
@article{CMJ_2003_53_1_a4,
     author = {Jakub{\'\i}kov\'a-Studenovsk\'a, Danica},
     title = {On 2-homogeneity of monounary algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {55--68},
     year = {2003},
     volume = {53},
     number = {1},
     mrnumber = {1961998},
     zbl = {1014.08005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_1_a4/}
}
TY  - JOUR
AU  - Jakubíková-Studenovská, Danica
TI  - On 2-homogeneity of monounary algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2003
SP  - 55
EP  - 68
VL  - 53
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_2003_53_1_a4/
LA  - en
ID  - CMJ_2003_53_1_a4
ER  - 
%0 Journal Article
%A Jakubíková-Studenovská, Danica
%T On 2-homogeneity of monounary algebras
%J Czechoslovak Mathematical Journal
%D 2003
%P 55-68
%V 53
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_2003_53_1_a4/
%G en
%F CMJ_2003_53_1_a4
Jakubíková-Studenovská, Danica. On 2-homogeneity of monounary algebras. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 55-68. http://geodesic.mathdoc.fr/item/CMJ_2003_53_1_a4/