Namespaces
Variants
Actions

User:Richard Pinch/sandbox-WP

From Encyclopedia of Mathematics
< User:Richard Pinch
Revision as of 18:11, 25 August 2013 by Richard Pinch (talk | contribs) (Start article: Stably free module)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Stably free module

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

\[ M \oplus F = G . \, \]

Properties

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

See also

References

How to Cite This Entry:
Richard Pinch/sandbox-WP. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Richard_Pinch/sandbox-WP&oldid=30232