A homogeneous presentation of symmetric quandles (Q2161132)

The author takes a further look at the algebraic structure of symmetric quandles. An example of a symmetric quandle is constructed, and it is shown that every symmetric quandle is isomorphic to the disjoint union of such quandles. The term symmetric quandle as used by the author is according to \textit{S. Kamada} [Ser. Knots Everything 40, 101--108 (2007; Zbl 1145.57008)], that is, a symmetric quandle is a quandle with a good involution; such quandles have been used to study knottings of non-orientable surfaces.