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Chad Nester (Jun 23 2026 at 12:21):Hello,
I've encountered a binary operation that, somewhat unexpectedly, forms a right-shelf. That is, satisfies the equation: .
The potential connection to knot theory is intriguing, and I'm interested to know if it can be made into a rack in a sensible way.
Is anything known about this? I imagine there are general results about algebraic theories that I might look at, although I'm kind of hoping that someone has studied this problem specifically. It seems to me that someone here may know!