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Structures · Algebra

Rack

A rack is an automorphic set (a set with an action on itself by bijections) that is self-distributive. It is a shelf such that each element's action is invertible. The notations x ◃ y and x ◃⁻¹ y denote the action and the inverse action, respectively, and they are right associative.

Defined in
Mathlib.Algebra.Quandle
Shape
One type argument · adds invAct, left_inv, right_inv

Extends1

Extended by1

Concrete types that are instances1

  • MulOpposite

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Assumed by64

Ancestors1