Editing Ordered ring (section)

==Examples==

Ordered rings are familiar from [[arithmetic]].  Examples include the [[integer]]s, the [[rational number|rational]]s and the [[real number]]s.<ref>*{{citation|author=Lam, T. Y.|authorlink=Tsit Yuen Lam |title=A first course in noncommutative rings |series=Graduate Texts in Mathematics|volume=131 |edition=2nd |publisher=Springer-Verlag |place=New York |year=2001 |pages=xx+385 |isbn=0-387-95183-0   |mr=1838439 | zbl=0980.16001 }}
</ref>  (The rationals and reals in fact form [[ordered field]]s.) The [[complex number]]s, in contrast, do not form an ordered ring or field, because there is no inherent order relationship between the elements 1 and ''i''.