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arXiv · 2103.06604

Superconnected left quasigroups and involutory quandles

Marco Bonatto
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Abstract

In this paper we study the classes of superconnected and superfaithful left quasigroups, that are relevant in the study of Mal'cev varieties of left quasigroups \cite{Maltsev_paper}. Then we focus on quandles and in particular to the involutory ones. We extend the main result of \cite{involutive_quandles_russo} to the infinite case and we offer a characterization of several classes of involutory quandles in terms of the properties of the canonical generators of the displacement group, improving the main results of \cite{Nobu}.

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Marco Bonatto. 2021-03-11. Superconnected left quasigroups and involutory quandles. https://arxiv.org/abs/2103.06604

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