Two Galois connections for left quasigroups

Published 24 Nov 2023 in math.GR | (2311.14574v1)

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

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