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Cardinality of retracts of monounary algebras

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Abstract

For an uncountable monounary algebra (A, f) with cardinality κ it is proved that (A, f) has exactly 2κ retracts. The case when (A, f) is countable is also dealt with.

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Authors and Affiliations

  1. Institute of Mathematics, P. J. Šafárik University, Jesenná 5, 041 54, Košice, Slovakia

    Danica Jakubíková-Studenovská

  2. Mathematical Institute, Slovak Academy of Science, Grešákova 6, 040 01, Košice, Slovakia

    Jozef Pócs

Authors
  1. Danica Jakubíková-Studenovská
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  2. Jozef Pócs
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Corresponding author

Correspondence to Danica Jakubíková-Studenovská.

Additional information

This work was suported by the the Slovak VEGA Grant No. 1/3003/06. This work was supported by Science and Technology Assistance Agency under the contract No. APVT-20-004104.

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Jakubíková-Studenovská, D., Pócs, J. Cardinality of retracts of monounary algebras. Czech Math J 58, 469–479 (2008). https://doi.org/10.1007/s10587-008-0028-5

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  • DOI: https://doi.org/10.1007/s10587-008-0028-5

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