A Characterization of Central Extensions in the Variety of Quandles Valérian Even

@inproceedings{Gran2016ACO,
  title={A Characterization of Central Extensions in the Variety of Quandles Val{\'e}rian Even},
  author={Marino Gran and Andrea Montoli},
  year={2016}
}
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.