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- (a1,b1) ≤ (a2,b2)
if and only if a1 ≤ a2 and b1 ≤ b2.
This ordering is called the product order. Another possible ordering on A × B is the lexicographical order.
- Neggers, J.; Kim, Hee Sik (1998), "4.2 Product Order and Lexicographic Order", Basic Posets, World Scientific, pp. 64–78, ISBN 9789810235895.
- direct product of binary relations
- examples of partial orders
- Star product, a different way of combining partial orders
- orders on the Cartesian product of totally ordered sets
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