Stably free module

From Citizendium
Revision as of 14:44, 28 October 2008 by imported>Richard Pinch (remove WPmarkup; subpages)
Jump to navigation Jump to search
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 mathematics, a stably free module is a module which is close to being free.

Definition

A module M over a ring R is stably free if there exist free modules F and G over R such that

Properties

  • A module is stably free if and only if it possesses a finite free resolution.

See also

References