Encyclopedia > Ordered group

Article Content

Ordered group

In abstract algebra, an ordered group is a group G which 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.

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

Charles V, Holy Roman Emperor

... Joanna of Castile and grandson of Ferdinand II of Aragon and Isabella I of Castile and of Maximilian I, Holy Roman Emperor. Charles was born in Ghent and brought up in ...