# injective resolution

Let $M$ be a module. An injective resolution of $M$ is an exact sequence of the form

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

where each $Q_{n}$ is an injective module.

Title injective resolution InjectiveResolution 2013-03-22 12:09:56 2013-03-22 12:09:56 antizeus (11) antizeus (11) 6 antizeus (11) Definition msc 16E05