Geodesic
Cardinality of retracts of monounary algebras
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 469-479

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For an uncountable monounary algebra $(A,f)$ with cardinality $\kappa $ it is proved that $(A,f)$ has exactly $2^{\kappa }$ retracts. The case when $(A,f)$ is countable is also dealt with.
Classification : 08A60
Keywords: monounary algebra; retract; cardinality 
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     author = {Jakub{\'\i}kov\'a-Studenovsk\'a, Danica and P\'ocs, Jozef},
     title = {Cardinality of retracts of monounary algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {469--479},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2008},
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     zbl = {1174.08303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a11/}
}
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Jakubíková-Studenovská, Danica; Pócs, Jozef. Cardinality of retracts of monounary algebras. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 469-479. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a11/