# flat resolution

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

 $\cdots\to F_{n}\to F_{n-1}\to\cdots\to F_{1}\to F_{0}\to M\to 0$

where each $F_{n}$ is a flat module.

Title flat resolution FlatResolution 2013-03-22 12:09:53 2013-03-22 12:09:53 antizeus (11) antizeus (11) 6 antizeus (11) Definition msc 16E05