Displaying similar documents to “Homogeneous monounary algebras”

On 2-homogeneity of monounary algebras

Danica Jakubíková-Studenovská (2003)

Czechoslovak Mathematical Journal

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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: 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.

Partially-2-homogeneous monounary algebras

Danica Jakubíková-Studenovská (2003)

Czechoslovak Mathematical Journal

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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],...