Stably free module
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In mathematics, a stably free module is a module which is close to being free.
Contents
Definition
A finitely generated module M over a ring R is stably free if there exist free finitely generated modules F and G over R such that
Properties
- A projective module is stably free if and only if it possesses a finite free resolution (Theorem XXI.2.1 of Lang's Algebra).
- An infinitely generated module is stably free if and only if it is free.
See also
References
- Page 840 of Lua error in package.lua at line 80: module 'strict' not found.
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