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

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