Danica Jakubikova-Studenovska, Institute of Mathematics, P. J. Safarik University, Jesenna 5, 041 54 Kosice, Slovakia, e-mail: danica.studenovska@upjs.sk; Jozef Pocs, Mathematical Institute, Slovak Academy of Science, Gresakova 6, 040 01 Kosice, Slovakia, e-mail: pocs@saske.sk
Abstract: 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.
Keywords: monounary algebra, retract, cardinality
Classification (MSC 2000): 08A60
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