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In abstract algebra, a partially ordered group is a group (G, +) equipped with a partial order "≤" that is translation-invariant; in other words, "≤" has the property that, for all a, b, and g in G, if a ≤ b then a + g ≤ b + g and g + a ≤ g + b.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Partially ordered group | is a | group | 0.90 | text |
| Partially ordered group | related to Archimedean | The Archimedean | 0.60 | section |
| Partially ordered group | related to Examples | The | 0.60 | section |
| Partially ordered group | related to Examples | Riesz | 0.60 | section |
| Partially ordered group | related to Examples | Zn | 0.60 | section |
| Partially ordered group | related to Examples | More | 0.60 | section |
| Partially ordered group | related to Examples | Furthermore | 0.60 | section |
| Partially ordered group | related to Examples | If | 0.60 | section |
| Partially ordered group | related to Examples | K0 | 0.60 | section |
| Partially ordered group | related to Examples | Elliott | 0.60 | section |
| Partially ordered group | related to External links | Kopytov | 0.60 | section |
| Partially ordered group | related to External links | Partially | 0.60 | section |
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