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The theory of lattices in the sense of order theory. For the number-theoretic notion, use the tag "lattices" instead.

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Is there a name for relations that are compatible with composition and union?

I’m dealing with relations on relations $\mathcal{R} \subseteq \mathcal{P}(A \times A) \times \mathcal{P}(A \times A)$ that have the following properties: $(R_{1}, S_{1}) \in \mathcal{R} \mathrel\we …
Wolfgang Jeltsch's user avatar