title: Homological dimension
text: # 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
  