Nonaffine latin quandles of order 2k

DOI10.1142/S0219498821501036zbMath1475.20097arXiv1909.08683WikidataQ113268582 ScholiaQ113268582MaRDI QIDQ4998016

Tomáš Nagy

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08683

zbMATH Keywords

affine quandlesLatin quandles

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Uses Software

• RiG
• GitHub

Cites Work

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• The structure of medial quandles
• Bol loops and Bruck loops of order \(pq\)
• Connected quandles and transitive groups
• Quasigroups
• Indecomposable racks of order \(p^2\).
• Principal and doubly homogeneous quandles
• Commutator theory for racks and quandles
• Enumeration of nilpotent loops via cohomology.
• Counting racks of order \(n\)
• FINITE MODULES OVER ℤ[t, t^-1]
• On the Foundations of Quasigroups
• Enumeration of racks and quandles up to isomorphism
• A guide to self-distributive quasigroups, or latin quandles
• Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements

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