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

... appear. He outlawed Luther and his followers in that same year but was tied up with other concerns and unable to try to stamp out Protestantism. In a war supported by ...