From Conservapedia
This is an old revision of this page, as edited by JoshuaZ (Talk | contribs) at 01:02, 22 February 2007. It may differ significantly from current revision.

Jump to: navigation, search

A ring R is said to be Archimedean if the ring is ordered, has a metric and for all in R, x non-zero, there exists in the natural numbers such that . Here concatentation with denotes adding times. Informally, a ring is Archimedean if it has no infinitely small or infinitely large elements. Examples of Archimedean rings include the real numbers and the rationals. Examples of non-Archimedean are less simple.