On factorization systems for surjective quandle homomorphisms

DOI10.1142/S0218216514500606zbMath1306.18001arXiv1403.5726MaRDI QIDQ2939932

Marino Gran, Valérian Even

Publication date: 23 January 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5726

zbMATH Keywords

quandlefactorization systemconnected component functorpermutability of congruence

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (7)

A structural aspect of the category of quandles ⋮ Closure operators in the category of quandles ⋮ Medial and semimedial left quasigroups ⋮ Higher coverings of racks and quandles. II ⋮ How to centralize and normalize quandle extensions ⋮ Commutator theory for racks and quandles ⋮ Epireflective subcategories and formal closure operators

Cites Work

• A classifying invariant of knots, the knot quandle
• Mal'cev varieties
• Some remarks on Maltsev and Goursat categories
• Galois theory and a general notion of central extension
• On localization and stabilization for factorization systems
• Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids
• Extended Galois theory and dissonant morphisms
• Homological characterization of the unknot
• A Galois-theoretic approach to the covering theory of quandles
• ON QUOTIENTS OF QUANDLES
• Quandle coverings and their Galois correspondence

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