Order, lattices, ordered algebraic structures Constructions of ordered sets Concept
Product order
Summary
The product order on a Cartesian product of partially ordered sets compares tuples coordinate by coordinate. One tuple is below another when each of its coordinates is below the matching coordinate. It is the product in the category of posets, and products of chains are the model spaces for order dimension.
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| Tag | K0AWJK6NZH |
|---|---|
| URI | m2://K0AWJK6NZH |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06A06 |
| Same as | |
| Changed | 2 November 2026 |
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