Coprime: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Richard Pinch
(New entry, just a stub)
 
imported>Richard Pinch
(See also: HCF)
Line 3: Line 3:


More generally, in [[ring theory]], two elements of a ring are coprime if the only elements of the ring which divide both of them are [[unit]]s.  Two ideals are coprime if the smallest ideal that contains them both is the ring itself.
More generally, in [[ring theory]], two elements of a ring are coprime if the only elements of the ring which divide both of them are [[unit]]s.  Two ideals are coprime if the smallest ideal that contains them both is the ring itself.
==See also==
* [[Highest common factor]]

Revision as of 02:27, 30 October 2008

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

In arithmetic, two integers are coprime if they have no common factor greater than one.

More generally, in ring theory, two elements of a ring are coprime if the only elements of the ring which divide both of them are units. Two ideals are coprime if the smallest ideal that contains them both is the ring itself.

See also