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

Springs, New York

... 89.82% White, 1.47% African American, 0.20% Native American, 1.45% Asian, 0.02% Pacific Islander, 3.86% from other races, and 3.17% from two or more races. 16.24% of the ...