In a strictly ordered ring , the natural numbers are a subset of , because every strictly ordered ring has characteristic zero. A number or element is an infinite number or an infinite element if for all natural numbers , .
Examples of rings with infinite numbers include the hyperreal numbers and the surreal numbers.
A strictly ordered ring which satisfies the archimedean property has no infinite numbers.
Created on December 13, 2022 at 19:07:45. See the history of this page for a list of all contributions to it.