Geodesic
On 2-homogeneity of monounary algebras
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 55-68.

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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 
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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/