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Unary Algebras without Proper Subalgebras

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Abstract

The paper describes equivalent conditions under which an arbitrary unary algebra has no proper subalgebras. An algorithm for checking the absence of subalgebras or for finding proper subalgebras and their generators in a given unary algebra whose carrier and signature are finite is proposed.

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Authors and Affiliations

  1. Chair of Higher Algebra, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    A. N. Lata

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  1. A. N. Lata
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Correspondence to A. N. Lata.

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Translated by E. Oborin

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Lata, A.N. Unary Algebras without Proper Subalgebras. Moscow Univ. Math. Bull. 75, 268–271 (2020). https://doi.org/10.3103/S0027132220060066

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  • DOI: https://doi.org/10.3103/S0027132220060066

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