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Two Galois connections for left quasigroups

2023/11/24 by Marco Bonatto, Bonatto, Marco · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2311.14574

openalex publication_date 2023/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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