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.
A characterization of central extensions in the variety of quandles / V. Even, M. Gran, A. Montoli. - In: THEORY AND APPLICATIONS OF CATEGORIES. - ISSN 1201-561X. - 31(2016), pp. 201-216.
A characterization of central extensions in the variety of quandles
A. MontoliUltimo
2016
Abstract
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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