Two easy duality theorems for product partial orders (Q580378)
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scientific article; zbMATH DE number 4016961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two easy duality theorems for product partial orders |
scientific article; zbMATH DE number 4016961 |
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Two easy duality theorems for product partial orders (English)
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1987
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Two duality theorems are proved about the direct product of two partial orders. Theorem 1. The largest unichain in a direct product of posets has the same size as the smallest covering by semiantichains. Theorem 2. The largest uniantichain in a direct product of posets has the same size as the smallest covering by semichains.
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duality theorems
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partial orders
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largest unichain
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direct product of posets
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covering by semiantichains
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