Definition:Inverse Relation/Also known as

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Inverse Relation: Also known as

An inverse relation is also seen as converse relation.

In the context of orderings, the term dual ordering can also be seen.

However, do not confuse this with a dual relation.


Some sources use the notation $\RR^t$, for example T.S. Blyth: Set Theory and Abstract Algebra.

Others use $\breve \RR$, for example Alfred Tarski: Introduction to Logic and to the Methodology of Deductive Sciences (2nd ed.) and 1940: Garrett Birkhoff: Lattice Theory.

Still others use $\RR^\gets$, for example Seth Warner: Modern Algebra.