Geodesic
A characterization of central extensions in the variety of quandles
Theory and applications of categories, Tome 31 (2016), pp. 201-216 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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The category of symmetric quandles is a Mal'tsev variety whose subvariety of abelian symmetric quandles is the category of abelian algebras. We give an algebraic description of the quandle extensions that are central for the adjunction between the variety of quandles and its subvariety of abelian symmetric quandles.

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Classification : 57M27, 08B05, 18A20, 13B05
Keywords: Quandle, symmetric quandle, abelian object, Mal'tsev variety, central extension, categorical Galois theory 
@article{TAC_2016_31_a7,
     author = {Val\'erian Even and Marino Gran and Andrea Montoli},
     title = {A characterization of central extensions in the variety of quandles},
     journal = {Theory and applications of categories},
     pages = {201--216},
     year = {2016},
     volume = {31},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a7/}
}
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Valérian Even; Marino Gran; Andrea Montoli. A characterization of central extensions in the variety of quandles. Theory and applications of categories, Tome 31 (2016), pp. 201-216. http://geodesic.mathdoc.fr/item/TAC_2016_31_a7/