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On 2-homogeneity of monounary algebras

Danica Jakubíková-Studenovská (2003)

Czechoslovak Mathematical Journal

Fraïssé introduced the notion of a k -set-homogeneous relational structure. In the present paper the following classes of monounary algebras are described: 𝒮 h 2 ( S ) , 𝒮 h 2 ( S c ) , 𝒮 h 2 ( P c ) —the class of all algebras which are 2-set-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively, and ℋ 2 ( S ) , ℋ 2 ( S c ) , ℋ 2 ( P c ) —the class of all algebras which are 2-homogeneous with respect to subalgebras, connected subalgebras, connected partial subalgebras, respectively.

On a representation of monounary algebras

Danica Jakubíková-Studenovská (2005)

Czechoslovak Mathematical Journal

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.

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