Dept. of Geometry and Algebra, Safarik University, Jesenna 5, 041 54 Kosice, Slovakia, e-mail: studenovska@duro.upjs.sk
Abstract: Fraisse introduced the notion of a $k$-set-homogeneous relational structure. In the present paper the following classes of monounary algebras are described: $\Cal Sh_2(S)$, $\Cal Sh_2(S^c)$, $\Cal Sh_2(P^c)$ - the class of all algebras which are 2-set-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively, and $\Cal H_2(S)$, $\Cal H_2(S^c)$, $\Cal H_2(P^c)$ - the class of all algebras which are 2-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively.
Keywords: monounary algebra, homogeneous, 2-homogeneous, 2-set-homogeneous
Classification (MSC 2000): 08A60
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