The fifth Yoshikawa move is independent of the other nine, a biquandle coloring invariant is defined for immersed surface-links, and infinitely many ribbon 2-knots share groups but differ in quandles.
Ashihara, Fundamental biquandles of ribbon 2 -knots and ribbon torus-knots with isomorphic fundamental quandles, Journal of Knot Theory and Its Ramifications 23, no
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On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots
The fifth Yoshikawa move is independent of the other nine, a biquandle coloring invariant is defined for immersed surface-links, and infinitely many ribbon 2-knots share groups but differ in quandles.