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arXiv · 2311.14574

Two Galois connections for left quasigroups

Marco Bonatto
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Abstract

We investigate two Galois connection between the congruence lattice and the lattice of subgroups of the displacement group of left quasigroups. Such connections were already studied for racks and quandles. We introduce the class of left quasigroups having congruence determined by subgroups (resp. orbits) and we extend a known result for quandles.

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Marco Bonatto. 2023-11-24. Two Galois connections for left quasigroups. https://arxiv.org/abs/2311.14574

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