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Unary algebras without proper subalgebras

A. N. Lata

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper presents equivalent conditions under which a unary algebra has no subalgebras. An algorithm for finding proper subalgebras and generators in a given finite unary algebra is proposed.

Key words: unary algebra, acts over semigroups, automaton without output.

UDC: 512.57

Received: 28.02.2020

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, 75:6, 268–271

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