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# Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

IMPACT FACTOR 2018: 0.551

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1572-9176
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# Automorphism groups of mono-unary algebras and CH

Archil Kipiani
• Corresponding author
• Faculty of Exact and Natural Sciences, Iv. Javakhishvili Tbilisi State University, 13 University St., Tbilisi 0186, Georgia
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Published Online: 2019-08-14 | DOI: https://doi.org/10.1515/gmj-2019-2048

## Abstract

A characterization of all cardinal numbers that are cardinals of automorphism groups of mono-unary algebras is given. Some connections are also established between the notion of an automorphism of mono-unary algebras and the continuum hypothesis. Close connections of the obtained results with one problem of Ulam are also considered.

MSC 2010: 03E17; 03E50; 08A35; 08A60

Dedicated to Professor Alexander Kharazishvili on the occasion of his 70th birthday

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Revised: 2019-02-23

Accepted: 2019-03-21

Published Online: 2019-08-14

Funding Source: Shota Rustaveli National Science Foundation

Award identifier / Grant number: GNSF/ST 09_144_3-105

This research was supported by Rustaveli NSF Grant-GNSF/ST 09_144_3-105.

Citation Information: Georgian Mathematical Journal, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X,

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