Type of relation (between relations)

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Is there a word for the type of relation $R$ and $S$ are with respect to each other, if $xRy \iff ySx$? Reciprocal relations?

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These are called inverse relations.

We can write $R = S^{-1}$ or $S^{\leftarrow}$

Note this must be true for all $x$ and $y$ in the domains/codomains for this.