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Ordered group

In abstract algebra, an ordered group is a group G that has the additional property that there exists a partial order "<" which is translation-invariant; in other words, "<" has the property that, for all a, b, and g in G, if a < b then ag < bg and ga < gb.

See also linearly ordered group.

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Referenced By

List of mathematical topics (M-O) | List of order topics

 

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