free resolution

Let $M$ be a module. A free resolution of $M$ is an exact sequence of the form

$$\mathrm{\cdots }\to F_n\to F_{n-1}\to \mathrm{\cdots }\to F_1\to F_0\to M\to 0$$

where each $F_n$ is a free module.

Title	free resolution
Canonical name	FreeResolution
Date of creation	2013-03-22 12:09:48
Last modified on	2013-03-22 12:09:48
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	6
Author	antizeus (11)
Entry type	Definition
Classification	msc 16E05