Homological dimension
# Homological dimension

Homological dimension may refer to the global dimension of a ring. It may also refer to any other concept of dimension that is defined in terms of homological algebra, which includes:

* Projective dimension of a module, based on projective resolutions
* Injective dimension of a module, based on injective resolutions
* Weak dimension of a module, or flat dimension, based on flat resolutions
* Weak global dimension of a ring, based on the weak dimension of its modules
* Cohomological dimension of a group
