# projective resolution

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

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

where each $P_{n}$ is a projective module.

Title projective resolution ProjectiveResolution 2013-03-22 12:09:51 2013-03-22 12:09:51 antizeus (11) antizeus (11) 6 antizeus (11) Definition msc 16E05