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monounary algebra; 2-homogeneous; 2-set-homogeneous; partially-2-homogeneous; partially-2-set-homogeneous

References:

[1] M. Droste, M. Giraudet, H. D. Macpherson and N. Sauer: **Set-homogeneous graphs**. J. Combin. Theory Ser. B 62 (1994), 63–95. DOI 10.1006/jctb.1994.1055 | MR 1290631

[2] R. Fraïssé: **Theory of Relations**. North-Holland, Amsterdam, 1986. MR 0832435

[3] D. Jakubíková-Studenovská: **Homogeneous monounary algebras**. Czechoslovak Math. J. 52(127) (2002), 309–317. DOI 10.1023/A:1021722527256 | MR 1905437

[4] D. Jakubíková-Studenovská: **On homogeneous and 1-homogeneous monounary algebras**. Contributions to General Algebra 12. Proceedings of the Wien Conference, June 1999, Verlag J. Heyn, 2000, pp. 221–224. MR 1777661

[5] D. Jakubíková-Studenovská: **On 2-homogeneity of monounary algebras**. Czechoslovak Math. J. 53(128) (2003), 55–68. DOI 10.1023/A:1022919307623 | MR 1961998