looparrowright
Depicts a rightward-pointing arrow that curves back upon itself in a loop, commonly used in mathematical diagrams and abstract algebra.
Overview
Serves as a specialized mathematical arrow notation frequently encountered in advanced algebra, category theory, and theoretical computer science.
- Often represents cyclic operations, recursive functions, or self-mapping relationships.
- Particularly useful in commutative diagrams and when illustrating mathematical morphisms.
- Appears in discussions of group theory, especially when describing elements that map back to themselves or cyclic group operations.
Examples
Representing a cyclic operation or transformation that maps elements to the right.
f: X \looparrowright XIndicating a recursive or repeating process in algorithmic notation.
x_{n+1} \looparrowright x_nShowing a circular dependency or feedback loop in a system.
A \looparrowright B \looparrowright C \looparrowright A