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math.GT2026
Decompositions of good involutions on quandles
Yasuhito Nakajima, Kentaro Yamaguchi
We study the behavior of good involutions under two fundamental constructions of quandles: interaction-free unions and direct products. In particular, we show that the set of good…
math.GT2026
On the nonexistence of good involutions on symplectic quandles
Yasuhito Nakajima, Kentaro Yamaguchi
We investigate a necessary and sufficient condition for the existence of good involutions on symplectic quandles, which are defined on free -modules equipped with an antisymmetr…