An injective resolution is a type of exact sequence of injective modules that allows one to represent a module as an extension by injective modules. This concept is crucial for understanding how injective modules can be used to study other modules and their homological properties. The construction of injective resolutions provides a way to compute derived functors, including Ext, and plays an important role in various homological contexts, such as sheaf cohomology and the determination of homological dimensions.
congrats on reading the definition of injective resolution. now let's actually learn it.