Gvaramiya, A. A. Automata and quasigroups. (Russian. English summary) Zbl 0566.68052 Soobshch. Akad. Nauk Gruz. SSR 114, 481-484 (1984). In the paper under review the author investigates some connections between the theory of quasigroups and the theory of automata. He proves the following results. 1. The class of invertible automata isomorphic to regular automata (G,G,G), where G is a group in some variety \(\theta\), is a variety of automata. 2. Let \(\theta\) be a quasivariety of groups and \({\bar \theta}\) be the class of all automata isomorphic to regular automata (G,G,G), where \(G\in \theta\). Then \({\bar \theta}\) is a quasivariety of automata. Reviewer: N.I.Osetinski MSC: 68Q70 Algebraic theory of languages and automata 20N05 Loops, quasigroups Keywords:invertible automata; regular automata; variety of automata; quasivariety of automata PDFBibTeX XMLCite \textit{A. A. Gvaramiya}, Soobshch. Akad. Nauk Gruz. SSR 114, 481--484 (1984; Zbl 0566.68052)