Homological dimension

Homological dimension refers to a number of related concepts in homological algebra:

Projective dimension, a homological dimension based on projective resolutions
Injective dimension, a homological dimension based on injective resolutions
Flat dimension, a homological dimension based on flat resolutions
Global dimension, a homological dimension of a ring based on the projective and injective dimensions of its modules
Weak global dimension, a homological dimension of a ring based on flat dimensions of its modules
Cohomological dimension, the homological dimension of a group

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